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- 10:37, 12 May 2022 (diff | hist) . . (+260) . . Math 361, Spring 2022 (current)
- 10:29, 12 May 2022 (diff | hist) . . (+511) . . Math 361, Spring 2022, Assignment 12
- 10:17, 12 May 2022 (diff | hist) . . (+1,368) . . N Math 361, Spring 2022, Assignment 14 (Created page with "__NOTOC__ ==Describe the following procedures:== # Sieve of Eratosthenes (for integers). # Sieve of Eratosthenes (for polynomials with coefficients in a finite field). # Pro...")
- 09:36, 12 May 2022 (diff | hist) . . (+3,017) . . N Math 361, Spring 2022, Assignment 15 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Splitting field (of a non-constant polynomial $f\in F[x]$). # Isomor...")
- 18:24, 3 May 2022 (diff | hist) . . (+22) . . Math 361, Spring 2022
- 07:32, 1 May 2022 (diff | hist) . . (-1) . . Math 361, Spring 2022, Assignment 13
- 13:31, 30 April 2022 (diff | hist) . . (+5,714) . . N Math 361, Spring 2022, Assignment 13 (Created page with "__NOTOC__ ==Carefully define the following terms, and give one example and one non-example of each:== # Prime ideal. # Unique factorization domain. # Principal ideal domain....")
- 16:01, 16 April 2022 (diff | hist) . . (-2) . . Math 361, Spring 2022, Assignment 11
- 16:00, 16 April 2022 (diff | hist) . . (+3,268) . . N Math 361, Spring 2022, Assignment 11 (Created page with "__NOTOC__ ==Carefully define the following terms, and give one example and one non-example of each:== # Maximal ideal. # Divisibility relation (in a domain $D$; i.e. $a|b$ i...")
- 08:13, 9 April 2022 (diff | hist) . . (+2,917) . . N Math 361, Spring 2022, Assignment 10 (Created page with "__NOTOC__ ==Carefully define the following terms, and give one example and one non-example of each:== # Standard representative (of an element of $F[x]/\left\langle m\right\...")
- 07:43, 2 April 2022 (diff | hist) . . (+1,765) . . N Math 361, Spring 2022, Assignment 9 (Created page with "__NOTOC__ ==Read:== # Section 23, first two pages (on the division algorithm). ==Carefully define the following terms, and give one example and one non-example of each:==...")
- 19:44, 27 March 2022 (diff | hist) . . (+2,611) . . N Math 361, Spring 2022, Assignment 8 (Created page with "__NOTOC__ ==Read:== # Section 21. # Section 22. ==Carefully define the following terms, and give one example and one non-example of each:== # Formal fraction (from an inte...")
- 15:29, 14 March 2022 (diff | hist) . . (+2,482) . . N Math 361, Spring 2022, Assignment 6 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Euler totient function (as examples please give one or two illustrat...")
- 15:28, 14 March 2022 (diff | hist) . . (+2,618) . . N Math 361, Spring 2022, Assignment 5 (Created page with "__NOTOC__ ==Read:== # Section 18. # Section 19. ==Carefully define the following terms, then give one example and one non-example of each:== # The ''initial morphism'' fro...")
- 13:56, 14 March 2022 (diff | hist) . . (+2,822) . . N Math 361, Spring 2022, Assignment 7 (Created page with "__NOTOC__ ==Read:== # Section 20. ==Carefully define the following terms, and give one example and one non-example of each:== # Private key (in the RSA cryptosystem; i.e. "...")
- 17:39, 21 February 2022 (diff | hist) . . (+3,284) . . N Math 361, Spring 2022, Assignment 4 (Created page with "__NOTOC__ ==Read:== # Section 26. ''(Note that we are skipping forward somewhat in the text; however we will shortly return to the earlier material in Section 20.)'' ==Car...")
- 10:30, 12 February 2022 (diff | hist) . . (+1) . . Math 361, Spring 2022, Assignment 3
- 10:26, 12 February 2022 (diff | hist) . . (+2,711) . . N Math 361, Spring 2022, Assignment 3 (Created page with "__NOTOC__ ==Read:== # Section 19. ==Carefully define the following terms, then give one example and one non-example of each:== # Zero-divisor. # Integral domain. # Field....")
- 12:24, 5 February 2022 (diff | hist) . . (+3,711) . . N Math 361, Spring 2022, Assignment 2 (Created page with "__NOTOC__ ==Read:== # Section 18. ==Carefully define the following terms, then give one example and one non-example of each:== # Ring. # Unital (ring). # Commutative (ring...")
- 23:49, 28 January 2022 (diff | hist) . . (+2,927) . . N Math 361, Spring 2022, Assignment 1 (Created page with "__NOTOC__ ==Read:== # Section 14. ==Carefully define the following terms, then give one example and one non-example of each:== # $H\leq G$ # $H\trianglelefteq G$. # Coset...")
- 21:33, 23 January 2022 (diff | hist) . . (+78) . . Main Page (current)
- 21:31, 23 January 2022 (diff | hist) . . (+4,439) . . N Math 361, Spring 2022 (Created page with "==Course information== * See the [http://cartan.math.umb.edu/classes/s22_ma361/s22_ma361_syllabus.pdf syllabus] for general information and the schedule of readings. * Class...")
- 19:00, 14 December 2021 (diff | hist) . . (+898) . . N Math 360, Fall 2021, Assignment 15 (Created page with "__NOTOC__ ==Carefully state the following theorems (you do not need to prove them):== # Corollary (of Lagrange's Theorem) concerning groups of prime order. # Corollary (of La...")
- 14:15, 14 December 2021 (diff | hist) . . (+2,004) . . N Math 360, Fall 2021, Assignment 12 (Created page with "__NOTOC__ ''"When I think of Euclid even now, I have to wipe my sweaty brow."'' : - C. M. Bellman ==Carefully define the following terms, then give one example and one non-e...")
- 11:15, 10 December 2021 (diff | hist) . . (+1,639) . . N Math 360, Fall 2021, Assignment 14 (Created page with "__NOTOC__ ''I must study politics and war, that my sons may have liberty to study mathematics and philosophy.'' : - John Adams, letter to Abigail Adams, May 12, 1780 ==Read:...")
- 18:06, 3 December 2021 (diff | hist) . . (+2,553) . . N Math 360, Fall 2021, Assignment 13 (Created page with "__NOTOC__ ''"Reeling and Writhing, of course, to begin with,"'' ''the Mock Turtle replied;'' ''"And then the different branches of Arithmetic'' - ''Ambition, Distraction, Ugli...")
- 17:35, 19 November 2021 (diff | hist) . . (+1,240) . . N Math 360, Fall 2021, Assignment 10 (Created page with "__NOTOC__ ''I have found a very great number of exceedingly beautiful theorems." : - Pierre de Fermat ==Carefully define the following terms, then give one example and one n...")
- 16:48, 19 November 2021 (diff | hist) . . (+1,586) . . N Math 360, Fall 2021, Assignment 11 (Created page with "__NOTOC__ ''The danger already exists that the mathematicians have made a covenant with the devil to darken the spirit and to confine man in the bonds of Hell.'' : - Saint Au...")
- 17:04, 12 November 2021 (diff | hist) . . (+2,208) . . Math 360, Fall 2021, Assignment 9 (current)
- 16:04, 12 November 2021 (diff | hist) . . (-345) . . Math 360, Fall 2021, Assignment 8 (current)
- 15:37, 12 November 2021 (diff | hist) . . (+1,336) . . Math 360, Fall 2021, Assignment 7 (current)
- 15:11, 12 November 2021 (diff | hist) . . (+1,043) . . Math 360, Fall 2021, Assignment 6 (current)
- 22:21, 4 November 2021 (diff | hist) . . (+2,517) . . N Math 360, Fall 2021, Assignment 9 (Created page with "__NOTOC__ ''The moving power of mathematical invention is not reasoning but the imagination.'' : - Augustus de Morgan ==Read:== # Section 8. ==Carefully define the followi...")
- 14:26, 29 October 2021 (diff | hist) . . (+2,540) . . N Math 360, Fall 2021, Assignment 8 (Created page with "__NOTOC__ ''Mathematical proofs, like diamonds, are hard as well as clear, and will be touched with nothing but strict reasoning.'' : - John Locke, ''Second Reply to the Bish...")
- 16:46, 22 October 2021 (diff | hist) . . (+1,500) . . N Math 360, Fall 2021, Assignment 6 (Created page with "__NOTOC__ ''I tell them that if they will occupy themselves with the study of mathematics, they will find in it the best remedy against the lusts of the flesh.'' : - Thomas M...")
- 12:59, 22 October 2021 (diff | hist) . . (+1,737) . . N Math 360, Fall 2021, Assignment 7 (Created page with "__NOTOC__ ''Do not imagine that mathematics is hard and crabbed and repulsive to commmon sense. It is merely the etherealization of common sense.'' : - Lord Kelvin ==Read:=...")
- 21:15, 7 October 2021 (diff | hist) . . (+3,243) . . N Math 360, Fall 2021, Assignment 5 (Created page with "__NOTOC__ ''I was at the mathematical school, where the master taught his pupils after a method scarce imaginable to us in Europe. The proposition and demonstration were fair...")
- 16:52, 1 October 2021 (diff | hist) . . (+1,706) . . N Math 360, Fall 2021, Assignment 4 (Created page with "__NOTOC__ ''Mathematicians are like Frenchmen: whatever you say to them they translate into their own language, and forthwith it is something entirely different.'' : - Goethe...")
- 09:07, 1 October 2021 (diff | hist) . . (+40) . . Math 360, Fall 2021 (current)
- 22:28, 23 September 2021 (diff | hist) . . (+3,065) . . N Math 360, Fall 2021, Assignment 3 (Created page with "__NOTOC__ ''We admit, in geometry, not only infinite magnitudes, that is to say, magnitudes greater than any assignable magnitude, but infinite magnitudes infinitely greater,...")
- 16:56, 17 September 2021 (diff | hist) . . (+1,135) . . Math 360, Fall 2021
- 16:35, 17 September 2021 (diff | hist) . . (+2,069) . . N Math 360, Fall 2021, Assignment 2 (Created page with "__NOTOC__ ''No doubt many people feel that the inclusion of mathematics among the arts is unwarranted. The strongest objection is that mathematics has no emotional import. O...")
- 09:54, 10 September 2021 (diff | hist) . . (+2) . . Math 360, Fall 2021, Assignment 1
- 09:40, 10 September 2021 (diff | hist) . . (+1,972) . . N Math 360, Fall 2021, Assignment 1 (Created page with "__NOTOC__ ''By one of those caprices of the mind, which we are perhaps most subject to in early youth, I at once gave up my former occupations; set down natural history and al...")
- 17:33, 6 September 2021 (diff | hist) . . (+73) . . Main Page
- 17:31, 6 September 2021 (diff | hist) . . (+3,294) . . N Math 360, Fall 2021 (Created page with "==Course information== * See the [http://cartan.math.umb.edu/classes/f21_ma360/f21_ma360_syllabus.pdf syllabus] for general information and the schedule of readings. * Class...")
- 18:22, 13 May 2021 (diff | hist) . . (+1,217) . . N Math 361, Spring 2021, Assignment 15 (Created page with "__NOTOC__ ==Carefully state the following theorems (you do not need to prove them):== # Classification of simple field extensions. ==Solve the following problems:== # Find...") (current)
- 17:59, 13 May 2021 (diff | hist) . . (+20) . . Math 361, Spring 2021 (current)
- 17:54, 6 May 2021 (diff | hist) . . (+1,088) . . N Math 361, Spring 2021, Assignment 14 (Created page with "__NOTOC__ ==Read:== # Section 29. ==Carefully define the following terms, and give one example and one non-example of each:== # Field extension. # Base field (of a field e...") (current)
- 10:07, 30 April 2021 (diff | hist) . . (+2,315) . . N Math 361, Spring 2021, Assignment 13 (Created page with "__NOTOC__ ==Read:== # Section 26. # Section 27. ==Carefully define the following terms, and give one example and one non-example of each:== # Maximal ideal. # Principal id...") (current)
- 18:08, 22 April 2021 (diff | hist) . . (+1,958) . . N Math 361, Spring 2021, Assignment 12 (Created page with "__NOTOC__ ==Read:== # Section 23. ==Carefully define the following terms, and give one example and one non-example of each:== # Irreducible element (of a domain). # Unique...") (current)
- 15:51, 17 April 2021 (diff | hist) . . (+2,776) . . N Math 361, Spring 2021, Assignment 10 (Created page with "__NOTOC__ ==Carefully define the following terms, and give one example and one non-example of each:== # $f\%m$ (where $f$ is a polynomial with coefficients in some field $F$...") (current)
- 17:34, 15 April 2021 (diff | hist) . . (+2,762) . . N Math 361, Spring 2021, Assignment 11 (Created page with "__NOTOC__ ==Carefully define the following terms, and give one example and one non-example of each:== # Divisibility relation (in a domain $D$; i.e. $a|b$ if and only if...)...") (current)
- 09:38, 1 April 2021 (diff | hist) . . (+1,816) . . N Math 361, Spring 2021, Assignment 9 (Created page with "__NOTOC__ ==Read:== # Section 23, first two pages (concerning the division algorithm). ==Carefully define the following terms, and give one example and one non-example of e...") (current)
- 17:40, 24 March 2021 (diff | hist) . . (+1) . . Math 361, Spring 2021, Assignment 8 (current)
- 17:34, 24 March 2021 (diff | hist) . . (-1) . . Math 361, Spring 2021, Assignment 8
- 17:32, 24 March 2021 (diff | hist) . . (+4,390) . . N Math 361, Spring 2021, Assignment 8 (Created page with "__NOTOC__ ==Read:== # Section 21. # Section 22. ==Carefully define the following terms, and give one example and one non-example of each:== # Addition (of fractions). # Mu...")
- 17:26, 12 March 2021 (diff | hist) . . (+2,280) . . N Math 361, Spring 2021, Assignment 7 (Created page with "__NOTOC__ ==Read:== # Section 20. ==Carefully define the following terms, and give one example and one non-example of each:== # Private key (in the RSA cryptosystem; i.e....") (current)
- 18:39, 6 March 2021 (diff | hist) . . (+1,979) . . N Math 361, Spring 2021, Assignment 5 (Created page with "__NOTOC__ ==Read:== # Section 18. # Section 19. ==Carefully define the following terms, then give one example and one non-example of each:== # The ''initial morphism'' fro...")
- 18:27, 3 March 2021 (diff | hist) . . (+2,482) . . N Math 361, Spring 2021, Assignment 6 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Euler totient function (as examples please give one or two illustrat...")
- 17:46, 18 February 2021 (diff | hist) . . (+2,054) . . N Math 361, Spring 2021, Assignment 4 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # $R/I$ (the ''quotient'' of the ring $R$ by the ideal $I$). # $\pi:R\...")
- 17:52, 10 February 2021 (diff | hist) . . (+2,284) . . N Math 361, Spring 2021, Assignment 3 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Unit (of a unital ring). # Subring. # Unital subring. # Ring homomo...") (current)
- 09:45, 4 February 2021 (diff | hist) . . (+1,176) . . N Math 361, Spring 2021, Assignment 2 (Created page with "__NOTOC__ ==Read:== # Section 14. ==Carefully define the following terms, then give one example and one non-example of each:== # Ring. # Zero element (of a ring). # Opposi...") (current)
- 15:05, 27 January 2021 (diff | hist) . . (+1,602) . . N Math 361, Spring 2021, Assignment 1 (Created page with "__NOTOC__ ==Read:== # Section 13. ==Carefully define the following terms, then give one example and one non-example of each:== # Homomorphism. # Monomorphism. # Epimorphis...") (current)
- 09:05, 23 January 2021 (diff | hist) . . (0) . . Math 361, Spring 2021
- 17:31, 22 January 2021 (diff | hist) . . (+78) . . Main Page
- 17:30, 22 January 2021 (diff | hist) . . (+4,987) . . N Math 361, Spring 2021 (Created page with "==Course information== * See the [http://cartan.math.umb.edu/classes/s21_ma361/s21_ma361_syllabus.pdf syllabus] for general information and the schedule of readings. * Class...")
- 22:31, 10 December 2020 (diff | hist) . . (+1,180) . . N Math 360, Fall 2020, Assignment 14 (Created page with "__NOTOC__ ''I must study politics and war, that my sons may have liberty to study mathematics and philosophy.'' : - John Adams, letter to Abigail Adams, May 12, 1780 ==Caref...") (current)
- 18:01, 7 December 2020 (diff | hist) . . (+107) . . Math 360, Fall 2020 (current)
- 12:10, 7 December 2020 (diff | hist) . . (-85) . . Math 360, Fall 2020, Assignment 12 (current)
- 10:46, 7 December 2020 (diff | hist) . . (0) . . Math 360, Fall 2020, Assignment 13 (current)
- 10:42, 7 December 2020 (diff | hist) . . (+2,902) . . N Math 360, Fall 2020, Assignment 13 (Created page with "__NOTOC__ ''"Reeling and Writhing, of course, to begin with,"'' ''the Mock Turtle replied;'' ''"And then the different branches of Arithmetic'' - ''Ambition, Distraction, Ugli...")
- 00:01, 1 December 2020 (diff | hist) . . (+1,521) . . N Math 360, Fall 2020, Assignment 10 (Created page with "__NOTOC__ ''The danger already exists that the mathematicians have made a covenant with the devil to darken the spirit and to confine man in the bonds of Hell.'' : - Saint Au...") (current)
- 23:57, 30 November 2020 (diff | hist) . . (+1,003) . . N Math 360, Fall 2020, Assignment 12 (Created page with "__NOTOC__ ''"When I think of Euclid even now, I have to wipe my sweaty brow."'' : - C. M. Bellman ==Read:== # Section 10. ==Carefully define the following terms, then give...")
- 11:12, 20 November 2020 (diff | hist) . . (+1,849) . . N Math 360, Fall 2020, Assignment 11 (Created page with "__NOTOC__ ''I have found a very great number of exceedingly beautiful theorems." : - Pierre de Fermat ==Carefully define the following terms, then give one example and one n...") (current)
- 12:08, 6 November 2020 (diff | hist) . . (+1,801) . . N Math 360, Fall 2020, Assignment 9 (Created page with "__NOTOC__ ''The moving power of mathematical invention is not reasoning but the imagination.'' : - Augustus de Morgan ==Read:== # Section 8. ==Carefully define the followi...") (current)
- 17:47, 29 October 2020 (diff | hist) . . (+2,088) . . N Math 360, Fall 2020, Assignment 8 (Created page with "__NOTOC__ ''Mathematical proofs, like diamonds, are hard as well as clear, and will be touched with nothing but strict reasoning.'' : - John Locke, ''Second Reply to the Bish...") (current)
- 17:34, 22 October 2020 (diff | hist) . . (+1,293) . . N Math 360, Fall 2020, Assignment 7 (Created page with "__NOTOC__ ''Do not imagine that mathematics is hard and crabbed and repulsive to commmon sense. It is merely the etherealization of common sense.'' : - Lord Kelvin ==Read:=...") (current)
- 15:29, 22 October 2020 (diff | hist) . . (+1,250) . . N Math 360, Fall 2020, Assignment 6 (Created page with "__NOTOC__ ''I tell them that if they will occupy themselves with the study of mathematics, they will find in it the best remedy against the lusts of the flesh.'' : - Thomas M...") (current)
- 18:11, 16 October 2020 (diff | hist) . . (+819) . . Math 360, Fall 2020
- 18:00, 8 October 2020 (diff | hist) . . (+2,526) . . N Math 360, Fall 2020, Assignment 5 (Created page with "__NOTOC__ ''I was at the mathematical school, where the master taught his pupils after a method scarce imaginable to us in Europe. The proposition and demonstration were fair...") (current)
- 23:39, 1 October 2020 (diff | hist) . . (+2,125) . . N Math 360, Fall 2020, Assignment 4 (Created page with "__NOTOC__ ''Mathematicians are like Frenchmen: whatever you say to them they translate into their own language, and forthwith it is something entirely different.'' : - Goethe...")
- 15:22, 29 September 2020 (diff | hist) . . (+597) . . Math 360, Fall 2020, Assignment 3 (current)
- 17:51, 24 September 2020 (diff | hist) . . (+2,228) . . N Math 360, Fall 2020, Assignment 3 (Created page with "__NOTOC__ ''No doubt many people feel that the inclusion of mathematics among the arts is unwarranted. The strongest objection is that mathematics has no emotional import. O...")
- 20:25, 18 September 2020 (diff | hist) . . (+2,190) . . N Math 360, Fall 2020, Assignment 2 (Created page with "__NOTOC__ ''We admit, in geometry, not only infinite magnitudes, that is to say, magnitudes greater than any assignable magnitude, but infinite magnitudes infinitely greater,...")
- 16:48, 14 September 2020 (diff | hist) . . (+655) . . Math 360, Fall 2020
- 17:46, 11 September 2020 (diff | hist) . . (+2,868) . . N Math 360, Fall 2020, Assignment 1 (Created page with "__NOTOC__ ''By one of those caprices of the mind, which we are perhaps most subject to in early youth, I at once gave up my former occupations; set down natural history and al...")
- 00:18, 8 September 2020 (diff | hist) . . (+73) . . Main Page
- 00:15, 8 September 2020 (diff | hist) . . (+3,581) . . N Math 360, Fall 2020 (Created page with "==Course information== * See the [http://cartan.math.umb.edu/classes/f20_ma360/f20_ma360_syllabus.pdf syllabus] for general information and the schedule of readings. * Class...")
- 10:19, 15 May 2020 (diff | hist) . . (+250) . . Math 361, Spring 2020, Assignment 15 (current)
- 10:07, 15 May 2020 (diff | hist) . . (+111) . . Math 361, Spring 2020, Assignment 15
- 09:56, 15 May 2020 (diff | hist) . . (+4,449) . . N Math 361, Spring 2020, Assignment 15 (Created page with "__NOTOC__ ==Read:== # Section 33. ==Carefully define the following terms:== # $GF(q)$ (a.k.a. $\mathbb{F}_q$, where $q=p^n$ is a prime power). ==Carefully state the follo...")
- 22:58, 13 May 2020 (diff | hist) . . (+161) . . Math 361, Spring 2020 (current)
- 17:02, 11 May 2020 (diff | hist) . . (+193) . . Math 361, Spring 2020
- 19:00, 8 May 2020 (diff | hist) . . (+228) . . Math 361, Spring 2020
- 17:56, 8 May 2020 (diff | hist) . . (+3,325) . . N Math 361, Spring 2020, Assignment 14 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # $\mathrm{Cl}_E(F)$ (the ''relative algebraic closure of $F$ in $E$)....") (current)
- 13:45, 6 May 2020 (diff | hist) . . (+167) . . Math 361, Spring 2020
- 22:01, 4 May 2020 (diff | hist) . . (+277) . . Math 361, Spring 2020
- 14:01, 4 May 2020 (diff | hist) . . (+2,754) . . N Math 361, Spring 2020, Assignment 13 (Created page with "__NOTOC__ ==Read:== # Section 30. # Section 31. ==Carefully define the following terms, then give one example and one non-example of each:== # Vector space (over a field $...") (current)
- 16:01, 1 May 2020 (diff | hist) . . (+14) . . Math 361, Spring 2020
- 16:01, 1 May 2020 (diff | hist) . . (+114) . . Math 361, Spring 2020
- 13:24, 29 April 2020 (diff | hist) . . (+260) . . Math 361, Spring 2020
- 13:47, 27 April 2020 (diff | hist) . . (+203) . . Math 361, Spring 2020
- 17:05, 24 April 2020 (diff | hist) . . (-11) . . Math 361, Spring 2020, Assignment 12 (current)
- 17:04, 24 April 2020 (diff | hist) . . (+2,640) . . N Math 361, Spring 2020, Assignment 12 (Created page with "__NOTOC__ ==Read:== ==Carefully define the following terms, then give one example and one non-example of each:== # Subextension (of a field extension $F\rightarrow E$). # S...")
- 15:37, 24 April 2020 (diff | hist) . . (+130) . . Math 361, Spring 2020
- 14:37, 22 April 2020 (diff | hist) . . (+249) . . Math 361, Spring 2020
- 22:47, 17 April 2020 (diff | hist) . . (+1,459) . . N Math 361, Spring 2020, Assignment 11 (Created page with "__NOTOC__ ==Read:== # Section 29. ==Carefully define the following terms, then give one example and one non-example of each:== # Field extension. # Extension field. # Base...") (current)
- 22:26, 17 April 2020 (diff | hist) . . (+212) . . Math 361, Spring 2020
- 09:58, 15 April 2020 (diff | hist) . . (+129) . . Math 361, Spring 2020
- 14:39, 9 April 2020 (diff | hist) . . (+267) . . Math 361, Spring 2020
- 13:01, 9 April 2020 (diff | hist) . . (+2,469) . . N Math 361, Spring 2020, Assignment 10 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Unique factorization domain (or ''UFD'' for short). # Divisor chain....") (current)
- 18:11, 7 April 2020 (diff | hist) . . (+274) . . Math 361, Spring 2020
- 18:25, 5 April 2020 (diff | hist) . . (+183) . . Math 361, Spring 2020
- 15:55, 2 April 2020 (diff | hist) . . (+140) . . Math 361, Spring 2020
- 15:54, 2 April 2020 (diff | hist) . . (+2,688) . . N Math 361, Spring 2020, Assignment 9 (Created page with "__NOTOC__ ==Read:== # Section 27. ==Carefully define the following terms, then give one example and one non-example of each:== # Trivial factorization (in a domain). # Irr...") (current)
- 20:12, 31 March 2020 (diff | hist) . . (+14) . . Math 361, Spring 2020
- 20:11, 31 March 2020 (diff | hist) . . (+209) . . Math 361, Spring 2020
- 16:47, 30 March 2020 (diff | hist) . . (+14) . . Math 361, Spring 2020
- 17:21, 29 March 2020 (diff | hist) . . (+163) . . Math 361, Spring 2020
- 16:36, 26 March 2020 (diff | hist) . . (+191) . . Math 361, Spring 2020
- 16:34, 26 March 2020 (diff | hist) . . (+2,800) . . N Math 361, Spring 2020, Assignment 8 (Created page with "__NOTOC__ ==Read:== # Section 23. ==Carefully define the following terms, then give one example and one non-example of each:== # $f\%g$ (the ''remainder'' or ''residue'' w...") (current)
- 13:14, 25 March 2020 (diff | hist) . . (+161) . . Math 361, Spring 2020
- 11:39, 23 March 2020 (diff | hist) . . (+201) . . Math 361, Spring 2020
- 21:37, 20 March 2020 (diff | hist) . . (+107) . . Math 361, Spring 2020
- 20:48, 20 March 2020 (diff | hist) . . (+1,259) . . Math 361, Spring 2020
- 20:29, 20 March 2020 (diff | hist) . . (+2,350) . . N Math 361, Spring 2020, Assignment 7 (Created page with "__NOTOC__ ==Read:== # Section 22. ==Carefully define the following terms, then give one example and one non-example of each:== # Polynomial expression (with coefficients i...") (current)
- 17:22, 6 March 2020 (diff | hist) . . (0) . . Math 361, Spring 2020, Assignment 6 (current)
- 17:21, 6 March 2020 (diff | hist) . . (+2,846) . . N Math 361, Spring 2020, Assignment 6 (Created page with "__NOTOC__ ==Read:== # Section 21. ==Carefully define the following terms, then give one example and one non-example of each:== # Formal fraction (with numerator and denomi...")
- 15:12, 3 March 2020 (diff | hist) . . (+678) . . N Math 361, Spring 2020, Assignment 5 (Created page with "__NOTOC__ ==Read:== # Section 20. ==Carefully define the following terms, then give one example and one non-example of each:== # Euler totient function (or ''Euler $\phi$-...") (current)
- 08:31, 22 February 2020 (diff | hist) . . (+911) . . N Math 361, Spring 2020, Assignment 4 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Characteristic (of a unital ring). ==Carefully state the following...") (current)
- 14:49, 14 February 2020 (diff | hist) . . (+1,648) . . N Math 361, Spring 2020, Assignment 3 (Created page with "__NOTOC__ ==Read:== # Section 19. ==Carefully define the following terms, then give one example and one non-example of each:== # Zero-divisor. # Integral domain. # Field....") (current)
- 14:53, 7 February 2020 (diff | hist) . . (+1,252) . . N Math 361, Spring 2020, Assignment 2 (Created page with "__NOTOC__ ==Read:== # Section 26. ==Carefully define the following terms, then give one example and one non-example of each:== # Subring. # Unital subring (be careful!). #...") (current)
- 16:12, 31 January 2020 (diff | hist) . . (0) . . Math 361, Spring 2020, Assignment 1 (current)
- 16:09, 31 January 2020 (diff | hist) . . (+1,441) . . N Math 361, Spring 2020, Assignment 1 (Created page with "__NOTOC__ ''Imagination does not breed insanity. Exactly what does breed insanity is reason. Poets do not go mad, but chess-players do. Mathematicians go mad, and cashiers;...")
- 13:23, 26 January 2020 (diff | hist) . . (+3,256) . . N Math 361, Spring 2020 (Created page with "==Course information== * See the [http://cartan.math.umb.edu/classes/s20_ma361/s20_ma361_syllabus.pdf syllabus] for general information and the schedule of readings. * Class...")
- 13:12, 26 January 2020 (diff | hist) . . (+78) . . Main Page
- 17:58, 12 December 2019 (diff | hist) . . (0) . . Math 260, Fall 2019, Assignment 15 (current)
- 17:57, 12 December 2019 (diff | hist) . . (+1,364) . . N Math 360, Fall 2019, Assignment 15 (Created page with "__NOTOC__ ''I must study politics and war that my sons may have liberty to study mathematics and philosophy.'' : - John Adams, letter to Abigail Adams, May 12, 1780 ==Read:=...") (current)
- 17:46, 12 December 2019 (diff | hist) . . (0) . . Math 360, Fall 2019, Assignment 14 (current)
- 17:45, 12 December 2019 (diff | hist) . . (+1,095) . . N Math 260, Fall 2019, Assignment 15 (Created page with "__NOTOC__ ''I must study politics and war that my sons may have liberty to study mathematics and philosophy.'' : - John Adams, letter to Abigail Adams, May 12, 1780 ==Carefu...")
- 22:27, 7 December 2019 (diff | hist) . . (+876) . . N Math 360, Fall 2019, Assignment 14 (Created page with "__NOTOC__ ''Algebra begins with the unknown and ends with the unknowable.'' : - Anonymous ==Carefully define the following terms, then give one example and one non-example o...")
- 22:14, 7 December 2019 (diff | hist) . . (+882) . . N Math 260, Fall 2019, Assignment 14 (Created page with "__NOTOC__ ''Algebra begins with the unknown and ends with the unknowable.'' : - Anonymous ==Read:== # Section 6.3. ==Carefully describe the following algorithms:== # Proc...") (current)
- 11:59, 3 December 2019 (diff | hist) . . (+1,129) . . N Math 360, Fall 2019, Assignment 11 (Created page with "__NOTOC__ ''I have found a very great number of exceedingly beautiful theorems." : - Pierre de Fermat ==Carefully define the following terms, then give one example and one n...") (current)
- 10:20, 3 December 2019 (diff | hist) . . (-3) . . Math 260, Fall 2019, Assignment 11 (current)
- 10:19, 3 December 2019 (diff | hist) . . (+727) . . N Math 260, Fall 2019, Assignment 11 (Created page with "__NOTOC__ ''I have found a very great number of exceedingly beautiful theorems." : - Pierre de Fermat ==Read:== # Section 3.4, through Theorem 3.4.2. # Section 5.2. ==Care...")
- 18:05, 29 November 2019 (diff | hist) . . (+125) . . Math 360, Fall 2019, Assignment 13 (current)
- 18:04, 29 November 2019 (diff | hist) . . (+885) . . N Math 260, Fall 2019, Assignment 13 (Created page with "__NOTOC__ ''"Reeling and Writhing, of course, to begin with,"'' ''the Mock Turtle replied;'' ''"And then the different branches of Arithmetic'' - ''Ambition, Distraction, Ugli...") (current)
- 17:57, 29 November 2019 (diff | hist) . . (+1,044) . . N Math 360, Fall 2019, Assignment 13 (Created page with "__NOTOC__ ''"Reeling and Writhing, of course, to begin with,"'' ''the Mock Turtle replied;'' ''"And then the different branches of Arithmetic'' - ''Ambition, Distraction, Ugli...")
- 18:04, 22 November 2019 (diff | hist) . . (+1,056) . . N Math 260, Fall 2019, Assignment 12 (Created page with "__NOTOC__ ''"When I think of Euclid even now, I have to wipe my sweaty brow."'' : - C. M. Bellman ==Read:== # Section 6.1. ==Carefully define the following terms, then giv...") (current)
- 17:50, 22 November 2019 (diff | hist) . . (+1,800) . . N Math 360, Fall 2019, Assignment 12 (Created page with "__NOTOC__ ''"When I think of Euclid even now, I have to wipe my sweaty brow."'' : - C. M. Bellman ==Read:== # Section 10. ==Carefully define the following terms, then give...") (current)
- 17:24, 7 November 2019 (diff | hist) . . (+1,592) . . N Math 360, Fall 2019, Assignment 10 (Created page with "__NOTOC__ ''The danger already exists that the mathematicians have made a covenant with the devil to darken the spirit and to confine man in the bonds of Hell.'' : - Saint Au...") (current)
- 17:08, 7 November 2019 (diff | hist) . . (+2,487) . . N Math 260, Fall 2019, Assignment 10 (Created page with "__NOTOC__ ''The danger already exists that the mathematicians have made a covenant with the devil to darken the spirit and to confine man in the bonds of Hell.'' : - Saint Au...") (current)
- 16:24, 31 October 2019 (diff | hist) . . (+1,741) . . N Math 360, Fall 2019, Assignment 9 (Created page with "__NOTOC__ ''The moving power of mathematical invention is not reasoning but the imagination.'' : - Augustus de Morgan ==Read:== # Section 8. ==Carefully define the followi...") (current)
- 15:56, 31 October 2019 (diff | hist) . . (+1,867) . . N Math 260, Fall 2019, Assignment 9 (Created page with "__NOTOC__ ''The moving power of mathematical invention is not reasoning but the imagination.'' : - Augustus de Morgan ==Read:== # Section 3.3. ==Carefully define the follo...") (current)
- 16:12, 24 October 2019 (diff | hist) . . (+1,568) . . N Math 360, Fall 2019, Assignment 8 (Created page with "__NOTOC__ ''Mathematical proofs, like diamonds, are hard as well as clear, and will be touched with nothing but strict reasoning.'' : - John Locke, ''Second Reply to the Bish...") (current)
- 15:58, 24 October 2019 (diff | hist) . . (+2,017) . . N Math 260, Fall 2019, Assignment 8 (Created page with "__NOTOC__ ''Mathematical proofs, like diamonds, are hard as well as clear, and will be touched with nothing but strict reasoning.'' : - John Locke, ''Second Reply to the Bish...") (current)
- 15:53, 17 October 2019 (diff | hist) . . (+811) . . N Math 360, Fall 2019, Assignment 7 (Created page with "__NOTOC__ ''Do not imagine that mathematics is hard and crabbed and repulsive to commmon sense. It is merely the etherealization of common sense.'' : - Lord Kelvin ==Carefu...") (current)
- 15:46, 17 October 2019 (diff | hist) . . (+1,658) . . N Math 260, Fall 2019, Assignment 7 (Created page with "__NOTOC__ ''Do not imagine that mathematics is hard and crabbed and repulsive to commmon sense. It is merely the etherealization of common sense.'' : - Lord Kelvin ==Read:=...") (current)
- 12:17, 15 October 2019 (diff | hist) . . (+1,530) . . N Math 260, Fall 2019, Assignment 6 (Created page with "__NOTOC__ ''Mathematicians are like Frenchmen: whatever you say to them they translate into their own language, and forthwith it is something entirely different.'' : - Goethe...") (current)
- 11:55, 15 October 2019 (diff | hist) . . (+1,766) . . N Math 360, Fall 2019, Assignment 6 (Created page with "__NOTOC__ ''Mathematicians are like Frenchmen: whatever you say to them they translate into their own language, and forthwith it is something entirely different.'' : - Goethe...") (current)
- 15:52, 3 October 2019 (diff | hist) . . (+1,818) . . N Math 260, Fall 2019, Assignment 5 (Created page with "__NOTOC__ ''I tell them that if they will occupy themselves with the study of mathematics, they will find in it the best remedy against the lusts of the flesh.'' : - Thomas M...") (current)
- 13:22, 3 October 2019 (diff | hist) . . (+1,760) . . N Math 360, Fall 2019, Assignment 5 (Created page with "__NOTOC__ ''I tell them that if they will occupy themselves with the study of mathematics, they will find in it the best remedy against the lusts of the flesh.'' : - Thomas M...") (current)
- 17:11, 26 September 2019 (diff | hist) . . (+127) . . Math 360, Fall 2019, Assignment 4 (current)
- 16:58, 26 September 2019 (diff | hist) . . (+2,622) . . N Math 360, Fall 2019, Assignment 4 (Created page with "__NOTOC__ ''I was at the mathematical school, where the master taught his pupils after a method scarce imaginable to us in Europe. The proposition and demonstration were fair...")
- 16:30, 26 September 2019 (diff | hist) . . (+112) . . Math 260, Fall 2019, Assignment 4 (current)
- 16:27, 26 September 2019 (diff | hist) . . (+2,423) . . N Math 260, Fall 2019, Assignment 4 (Created page with "__NOTOC__ ''I was at the mathematical school, where the master taught his pupils after a method scarce imaginable to us in Europe. The proposition and demonstration were fair...")
- 17:30, 19 September 2019 (diff | hist) . . (+1,203) . . N Math 260, Fall 2019, Assignment 2 (Created page with "__NOTOC__ ''No doubt many people feel that the inclusion of mathematics among the arts is unwarranted. The strongest objection is that mathematics has no emotional import. O...") (current)
- 17:25, 19 September 2019 (diff | hist) . . (+27) . . Math 260, Fall 2019, Assignment 3 (current)
- 17:24, 19 September 2019 (diff | hist) . . (+1,332) . . N Math 360, Fall 2019, Assignment 2 (Created page with "__NOTOC__ ''No doubt many people feel that the inclusion of mathematics among the arts is unwarranted. The strongest objection is that mathematics has no emotional import. O...") (current)
- 16:59, 19 September 2019 (diff | hist) . . (+1,707) . . N Math 360, Fall 2019, Assignment 3 (Created page with "__NOTOC__ ''We admit, in geometry, not only infinite magnitudes, that is to say, magnitudes greater than any assignable magnitude, but infinite magnitudes infinitely greater,...") (current)
- 16:44, 19 September 2019 (diff | hist) . . (+2,138) . . N Math 260, Fall 2019, Assignment 3 (Created page with "__NOTOC__ ''We admit, in geometry, not only infinite magnitudes, that is to say, magnitudes greater than any assignable magnitude, but infinite magnitudes infinitely greater,...")
- 15:49, 5 September 2019 (diff | hist) . . (0) . . Math 260, Fall 2019 (current)
- 15:47, 5 September 2019 (diff | hist) . . (+1,669) . . N Math 260, Fall 2019, Assignment 1 (Created page with "__NOTOC__ ''By one of those caprices of the mind, which we are perhaps most subject to in early youth, I at once gave up my former occupations; set down natural history and al...") (current)
- 13:36, 5 September 2019 (diff | hist) . . (+25) . . Math 360, Fall 2019, Assignment 1 (current)
- 13:23, 5 September 2019 (diff | hist) . . (+2,449) . . N Math 360, Fall 2019, Assignment 1 (Created page with "__NOTOC__ ''By one of those caprices of the mind, which we are perhaps most subject to in early youth, I at once gave up my former occupations; set down natural history and al...")
- 16:55, 19 August 2019 (diff | hist) . . (+126) . . Main Page
- 16:53, 19 August 2019 (diff | hist) . . (+3,280) . . N Math 260, Fall 2019 (Created page with "==Course information== * See the [http://cartan.math.umb.edu/classes/f19_ma260/f19_ma260_syllabus.pdf syllabus] for general information and the schedule of readings. * Class...")
- 16:50, 19 August 2019 (diff | hist) . . (-2) . . Math 360, Fall 2019 (current)
- 16:46, 19 August 2019 (diff | hist) . . (+3,287) . . N Math 360, Fall 2019 (Created page with "==Course information== * See the [http://cartan.math.umb.edu/classes/f19_ma360/f19_ma360_syllabus.pdf syllabus] for general information and the schedule of readings. * Class...")
- 18:32, 17 May 2019 (diff | hist) . . (+1,514) . . N Math 361, Spring 2019, Assignment 15 (Created page with "__NOTOC__ ==Solve the following problems:== # (Examples of cyclotomic polynomials): ::(a) Begin by choosing some concrete implementation of $GF(9)$, in which you know how to...") (current)
- 14:39, 15 May 2019 (diff | hist) . . (+32) . . Math 361, Spring 2019 (current)
- 14:39, 15 May 2019 (diff | hist) . . (+33) . . Math 242, Spring 2019 (current)
- 14:16, 15 May 2019 (diff | hist) . . (+736) . . N Math 242, Spring 2019, Assignment 15 (Created page with "__NOTOC__ ''I must study politics and war that my sons may have liberty to study mathematics and philosophy.'' : - John Adams, letter to Abigail Adams, May 12, 1780 ==Read:=...") (current)
- 17:08, 10 May 2019 (diff | hist) . . (+1,304) . . N Math 242, Spring 2019, Assignment 14 (Created page with "__NOTOC__ ''Algebra begins with the unknown and ends with the unknowable.'' : - Anonymous ==Read:== # Section 16.4. # Section 16.5. # Section 16.6. # Section 16.7. ==Caref...") (current)
- 16:49, 10 May 2019 (diff | hist) . . (+1,198) . . N Math 361, Spring 2019, Assignment 14 (Created page with "__NOTOC__ ==Read:== # Section 33. ==Carefully define the following terms, then give one example and one non-example of each:== # $GF(p^n)$. ==Carefully state the followin...") (current)
- 09:29, 3 May 2019 (diff | hist) . . (+1,764) . . N Math 242, Spring 2019, Assignment 13 (Created page with "__NOTOC__ ''"Reeling and Writhing, of course, to begin with,"'' ''the Mock Turtle replied;'' ''"And then the different branches of Arithmetic'' - ''Ambition, Distraction, Ugli...") (current)
- 09:00, 3 May 2019 (diff | hist) . . (+2,570) . . N Math 361, Spring 2019, Assignment 13 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Relative algebraic closure (of $F$ inside $E$). # Algebraic extensio...") (current)
- 11:27, 26 April 2019 (diff | hist) . . (+1,406) . . N Math 242, Spring 2019, Assignment 12 (Created page with "__NOTOC__ ''"When I think of Euclid even now, I have to wipe my sweaty brow."'' : - C. M. Bellman ==Read:== # Section 15.8. # Section 15.9. ==Carefully define the followin...") (current)
- 11:08, 26 April 2019 (diff | hist) . . (+114) . . Math 361, Spring 2019, Assignment 12 (current)
- 11:04, 26 April 2019 (diff | hist) . . (+2,186) . . N Math 361, Spring 2019, Assignment 12 (Created page with "__NOTOC__ ==Read:== # Section 31. ==Carefully define the following terms, then give one example and one non-example of each:== # Subspace (of a given vector space). # Subs...")
- 12:12, 19 April 2019 (diff | hist) . . (+616) . . N Math 242, Spring 2019, Assignment 10 (Created page with "__NOTOC__ ''The danger already exists that the mathematicians have made a covenant with the devil to darken the spirit and to confine man in the bonds of Hell.'' : - Saint Au...") (current)
- 12:06, 19 April 2019 (diff | hist) . . (+1,141) . . N Math 242, Spring 2019, Assignment 11 (Created page with "__NOTOC__ ''I have found a very great number of exceedingly beautiful theorems." : - Pierre de Fermat ==Read:== # Section 15.3. # (Optional) Section 15.4. # Section 15.6. #...") (current)
- 11:50, 19 April 2019 (diff | hist) . . (+966) . . N Math 361, Spring 2019, Assignment 10 (Created page with "__NOTOC__ ==Read:== # Section 29. ==Carefully define the following terms, then give one example and one non-example of each:== # Algebraic element (of an extension $F\righ...") (current)
- 11:42, 19 April 2019 (diff | hist) . . (+1,314) . . N Math 361, Spring 2019, Assignment 11 (Created page with "__NOTOC__ ==Read:== # Section 30. ==Carefully define the following terms, then give one example and one non-example of each:== # Vector space (over a field $F$). ==Carefu...") (current)
- 16:53, 5 April 2019 (diff | hist) . . (+913) . . N Math 242, Spring 2019, Assignment 9 (Created page with "__NOTOC__ ''The moving power of mathematical invention is not reasoning but the imagination.'' : - Augustus de Morgan ==Carefully define the following terms, then give one e...") (current)
- 16:43, 5 April 2019 (diff | hist) . . (+818) . . N Math 361, Spring 2019, Assignment 9 (Created page with "__NOTOC__ ==Read:== # Section 27. ==Carefully define the following terms, then give one example and one non-example of each:== # Maximal ideal. # Prime ideal. # Field exte...") (current)
- 16:05, 29 March 2019 (diff | hist) . . (+1,358) . . N Math 361, Spring 2019, Assignment 8 (Created page with "__NOTOC__ ==Read:== # Section 26. ==Carefully define the following terms, then give one example and one non-example of each:== # $R/I$ (the quotient of the ring $R$ by the...") (current)
- 12:49, 29 March 2019 (diff | hist) . . (+1,504) . . N Math 242, Spring 2019, Assignment 8 (Created page with "__NOTOC__ ''Mathematical proofs, like diamonds, are hard as well as clear, and will be touched with nothing but strict reasoning.'' : - John Locke, ''Second Reply to the Bish...") (current)
- 16:43, 22 March 2019 (diff | hist) . . (+1,475) . . N Math 242, Spring 2019, Assignment 7 (Created page with "__NOTOC__ ''Do not imagine that mathematics is hard and crabbed and repulsive to commmon sense. It is merely the etherealization of common sense.'' : - Lord Kelvin ==Read:=...") (current)
- 15:39, 22 March 2019 (diff | hist) . . (+1,035) . . N Math 361, Spring 2019, Assignment 7 (Created page with "__NOTOC__ ==Read:== # Section 23. ==Carefully define the following terms, then give one example and one non-example of each:== # $f\%g$ (the remainder when $f$ is divided...") (current)
- 13:59, 20 March 2019 (diff | hist) . . (0) . . N File:Faculty:Test.pdf (current)
- 16:36, 8 March 2019 (diff | hist) . . (+1,049) . . N Math 242, Spring 2019, Assignment 5 (Created page with "__NOTOC__ ''I tell them that if they will occupy themselves with the study of mathematics, they will find in it the best remedy against the lusts of the flesh.'' : - Thomas M...") (current)
- 16:22, 8 March 2019 (diff | hist) . . (+944) . . N Math 242, Spring 2019, Assignment 6 (Created page with "__NOTOC__ ''Mathematicians are like Frenchmen: whatever you say to them they translate into their own language, and forthwith it is something entirely different.'' : - Goethe...") (current)
- 15:47, 8 March 2019 (diff | hist) . . (+1,848) . . N Math 361, Spring 2019, Assignment 5 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Canonical injection (of $R$ into $R[x]$). # Constant polynomial. # $...") (current)
- 15:15, 8 March 2019 (diff | hist) . . (+40) . . Math 361, Spring 2019, Assignment 6 (current)
- 15:10, 8 March 2019 (diff | hist) . . (+2,886) . . N Math 361, Spring 2019, Assignment 6 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Divisibility relation (on an integral domain $D$). # Associate relat...")
- 14:08, 22 February 2019 (diff | hist) . . (+1,830) . . N Math 242, Spring 2019, Assignment 4 (Created page with "__NOTOC__ ''I was at the mathematical school, where the master taught his pupils after a method scarce imaginable to us in Europe. The proposition and demonstration were fair...") (current)
- 13:49, 22 February 2019 (diff | hist) . . (+1,575) . . N Math 361, Spring 2019, Assignment 4 (Created page with "__NOTOC__ ==Read:== # Section 21. # Section 22. ==Carefully define the following terms, then give one example and one non-example of each:== # Fraction expression. # Equiv...") (current)
- 17:59, 15 February 2019 (diff | hist) . . (+1,628) . . N Math 242, Spring 2019, Assignment 3 (Created page with "__NOTOC__ ''We admit, in geometry, not only infinite magnitudes, that is to say, magnitudes greater than any assignable magnitude, but infinite magnitudes infinitely greater,...") (current)
- 17:05, 15 February 2019 (diff | hist) . . (+958) . . N Math 361, Spring 2019, Assignment 3 (Created page with "__NOTOC__ ==Read:== # Section 20. ==Carefully define the following terms, then give one example and one non-example of each:== # Euler totient function. ==Carefully state...") (current)
- 18:00, 8 February 2019 (diff | hist) . . (+1,123) . . N Math 361, Spring 2019, Assignment 2 (Created page with "__NOTOC__ ==Read:== # Section 19. ==Carefully define the following terms, then give one example and one non-example of each:== # Zero-divisor. # Integral domain. # Image (...") (current)
- 17:53, 8 February 2019 (diff | hist) . . (+2,042) . . N Math 242, Spring 2019, Assignment 2 (Created page with "__NOTOC__ ''No doubt many people feel that the inclusion of mathematics among the arts is unwarranted. The strongest objection is that mathematics has no emotional import. O...") (current)
- 17:14, 1 February 2019 (diff | hist) . . (+966) . . N Math 361, Spring 2019, Assignment 1 (Created page with "__NOTOC__ ==Read:== # Section 18. ==Carefully define the following terms, then give one example and one non-example of each:== # Ring. # Zero element (of a ring). # Opposi...") (current)
- 17:05, 1 February 2019 (diff | hist) . . (+1,514) . . N Math 242, Spring 2019, Assignment 1 (Created page with "__NOTOC__ ''By one of those caprices of the mind, which we are perhaps most subject to in early youth, I at once gave up my former occupations; set down natural history and al...") (current)
- 18:05, 28 January 2019 (diff | hist) . . (0) . . Math 361, Spring 2019
- 18:04, 28 January 2019 (diff | hist) . . (+160) . . Main Page
- 18:01, 28 January 2019 (diff | hist) . . (+3,272) . . N Math 242, Spring 2019 (Created page with "==Course information== * See the [http://cartan.math.umb.edu/classes/s19_ma242/s19_ma242_syllabus.pdf syllabus] for general information and the schedule of readings. * Class...")
- 17:01, 28 January 2019 (diff | hist) . . (+3,275) . . N Math 361, Spring 2019 (Created page with "==Course information== * See the [http://cartan.math.umb.edu/classes/s19_ma360/s19_ma361_syllabus.pdf syllabus] for general information and the schedule of readings. * Class...")
- 17:25, 4 January 2019 (diff | hist) . . (0) . . m MDRC:Restructuring Committee (Steven.Jackson moved page MDRC temp:Restructuring Committee to MDRC:Restructuring Committee without leaving a redirect) (current)
- 17:24, 4 January 2019 (diff | hist) . . (0) . . m MDRC:Restructuring Committee (Steven.Jackson moved page MDRC:Restructuring Committee to MDRC temp:Restructuring Committee without leaving a redirect)
- 17:24, 4 January 2019 (diff | hist) . . (0) . . m MDPC:Personnel Committee (Steven.Jackson moved page MDPC temp:Personnel Committee to MDPC:Personnel Committee without leaving a redirect) (current)
- 17:22, 4 January 2019 (diff | hist) . . (0) . . m MDPC:Personnel Committee (Steven.Jackson moved page MDPC:Personnel Committee to MDPC temp:Personnel Committee without leaving a redirect)
- 17:13, 4 January 2019 (diff | hist) . . (+28) . . N MediaWiki:Grouppage-MDRC (Created page with "MDRC:Restructuring Committee") (current)
- 17:12, 4 January 2019 (diff | hist) . . (+24) . . N MediaWiki:Grouppage-MDPC (Created page with "MDPC:Personnel Committee") (current)
- 17:11, 4 January 2019 (diff | hist) . . (+25) . . N MediaWiki:Grouppage-MDCC (Created page with "MDCC:Curriculum Committee") (current)
- 17:10, 4 January 2019 (diff | hist) . . (-7) . . MediaWiki:Group-Faculty-member (current)
- 17:10, 4 January 2019 (diff | hist) . . (+30) . . N MediaWiki:Group-MDRC-member (Created page with "Restructuring Committee member") (current)
- 17:09, 4 January 2019 (diff | hist) . . (+26) . . N MediaWiki:Group-MDPC-member (Created page with "Personnel Committee member") (current)
- 17:08, 4 January 2019 (diff | hist) . . (+27) . . N MediaWiki:Group-MDCC-member (Created page with "Curriculum Committee member") (current)
- 17:06, 4 January 2019 (diff | hist) . . (+46) . . N MediaWiki:Group-MDRC (Created page with "Mathematics Department Restructuring Committee") (current)
- 17:06, 4 January 2019 (diff | hist) . . (+42) . . N MediaWiki:Group-MDPC (Created page with "Mathematics Department Personnel Committee") (current)
- 17:05, 4 January 2019 (diff | hist) . . (+43) . . N MediaWiki:Group-MDCC (Created page with "Mathematics Department Curriculum Committee") (current)
- 17:04, 4 January 2019 (diff | hist) . . (+30) . . N MediaWiki:Grouppage-Faculty (Created page with "Faculty:Mathematics Department") (current)
- 17:03, 4 January 2019 (diff | hist) . . (+33) . . N MediaWiki:Group-Faculty-member (Created page with "member of the Mathematics faculty")
- 17:02, 4 January 2019 (diff | hist) . . (+19) . . N MediaWiki:Group-Faculty (Created page with "Mathematics Faculty") (current)
- 17:01, 4 January 2019 (diff | hist) . . (+32) . . MDPC:Personnel Committee
- 17:00, 4 January 2019 (diff | hist) . . (+32) . . MDCC:Curriculum Committee (current)
- 16:59, 4 January 2019 (diff | hist) . . (+1,003) . . N MDRC:Restructuring Committee (Created page with "==Meetings:== ==How to use this page:== * This page is readable and writable only by current members of the Restructuring Committee and by the server administrator, and its...")
- 16:56, 4 January 2019 (diff | hist) . . (+9) . . MDCC:Curriculum Committee
- 16:55, 4 January 2019 (diff | hist) . . (+967) . . N MDPC:Personnel Committee (Created page with "==Meetings:== ==How to use this page:== * This page is readable and writable only by current members of the Personnel Committee, and its contents should not be indexed by se...")
- 16:53, 4 January 2019 (diff | hist) . . (+959) . . N MDCC:Curriculum Committee (Created page with "==Meetings:== ==How to use this page:== * This page is readable and writable only by members of the Mathematics faculty, and its contents should not be indexed by search eng...")
- 16:51, 4 January 2019 (diff | hist) . . (+959) . . N Faculty:Mathematics Department (Created page with "==Meetings:== ==How to use this page:== * This page is readable and writable only by members of the Mathematics faculty, and its contents should not be indexed by search eng...") (current)
- 08:48, 3 January 2019 (diff | hist) . . (+24) . . Shoo6AeD
- 08:47, 3 January 2019 (diff | hist) . . (+115) . . Shoo6AeD
- 11:55, 17 December 2018 (diff | hist) . . (+42) . . Shoo6AeD
- 09:28, 16 December 2018 (diff | hist) . . (+1,395) . . N Math 360, Fall 2018, Assignment 15 (Created page with "__NOTOC__ ''I must study politics and war that my sons may have liberty to study mathematics and philosophy.'' : - John Adams, letter to Abigail Adams, May 12, 1780 ==Carefu...") (current)
- 09:16, 16 December 2018 (diff | hist) . . (0) . . Math 360, Fall 2018 (current)
- 16:49, 13 December 2018 (diff | hist) . . (+1,079) . . N Math 260, Fall 2018, Assignment 15 (Created page with "__NOTOC__ ''I must study politics and war that my sons may have liberty to study mathematics and philosophy.'' : - John Adams, letter to Abigail Adams, May 12, 1780 ==Carefu...") (current)
- 17:53, 7 December 2018 (diff | hist) . . (+1,666) . . N Math 360, Fall 2018, Assignment 14 (Created page with "__NOTOC__ ''Algebra begins with the unknown and ends with the unknowable.'' : - Anonymous ==Read:== # Section 13. # Section 14. ==Carefully define the following terms, the...") (current)
- 17:35, 7 December 2018 (diff | hist) . . (+1,292) . . N Math 260, Fall 2018, Assignment 14 (Created page with "__NOTOC__ ''Algebra begins with the unknown and ends with the unknowable.'' : - Anonymous ==Read:== # Section 7.1. ==Carefully define the following terms, then give one ex...") (current)
- 17:40, 4 December 2018 (diff | hist) . . (+37) . . Math 360, Fall 2018
- 17:38, 4 December 2018 (diff | hist) . . (+38) . . Math 260, Fall 2018 (current)
- 17:35, 4 December 2018 (diff | hist) . . (+649) . . N Math 360, Fall 2018, Assignment 11 (Created page with "__NOTOC__ ''I have found a very great number of exceedingly beautiful theorems." : - Pierre de Fermat ==Carefully define the following terms, then give one example and one n...") (current)
- 17:25, 4 December 2018 (diff | hist) . . (+1,229) . . N Math 260, Fall 2018, Assignment 11 (Created page with "__NOTOC__ ''I have found a very great number of exceedingly beautiful theorems.'' : - Pierre de Fermat ==Carefully define the following terms, then give one example and one...") (current)
- 17:59, 30 November 2018 (diff | hist) . . (+1,314) . . N Math 360, Fall 2018, Assignment 13 (Created page with "__NOTOC__ ''"Reeling and Writhing, of course, to begin with,"'' ''the Mock Turtle replied;'' ''"And then the different branches of Arithmetic'' - ''Ambition, Distraction, Ugli...") (current)
- 17:50, 30 November 2018 (diff | hist) . . (+1,497) . . N Math 260, Fall 2018, Assignment 13 (Created page with "__NOTOC__ ''"Reeling and Writhing, of course, to begin with,"'' ''the Mock Turtle replied;'' ''"And then the different branches of Arithmetic'' - ''Ambition, Distraction, Ugli...") (current)
- 17:57, 23 November 2018 (diff | hist) . . (+993) . . N Math 360, Fall 2018, Assignment 12 (Created page with "__NOTOC__ ''"When I think of Euclid even now, I have to wipe my sweaty brow."'' : - C. M. Bellman ==Read:== # Section 9. ==Carefully define the following terms, then give...") (current)
- 17:49, 23 November 2018 (diff | hist) . . (+749) . . N Math 260, Fall 2018, Assignment 12 (Created page with "__NOTOC__ ''"When I think of Euclid even now, I have to wipe my sweaty brow."'' : - C. M. Bellman ==Read:== # Section 5.2. ==Carefully define the following terms, then giv...") (current)
- 17:56, 9 November 2018 (diff | hist) . . (+1,908) . . N Math 360, Fall 2018, Assignment 10 (Created page with "__NOTOC__ ''The danger already exists that the mathematicians have made a covenant with the devil to darken the spirit and to confine man in the bonds of Hell.'' : - Saint Au...") (current)
- 17:32, 9 November 2018 (diff | hist) . . (+2,545) . . N Math 260, Fall 2018, Assignment 10 (Created page with "__NOTOC__ ''The danger already exists that the mathematicians have made a covenant with the devil to darken the spirit and to confine man in the bonds of Hell.'' : - Saint Au...") (current)
- 22:43, 3 November 2018 (diff | hist) . . (+1,370) . . N Math 360, Fall 2018, Assignment 9 (Created page with "__NOTOC__ ''The moving power of mathematical invention is not reasoning but the imagination.'' : - Augustus de Morgan ==Carefully define the following terms, then give one e...") (current)
- 18:54, 3 November 2018 (diff | hist) . . (+1,466) . . N Math 260, Fall 2018, Assignment 9 (Created page with "__NOTOC__ ''The moving power of mathematical invention is not reasoning but the imagination.'' : - Augustus de Morgan ==Read:== # Section 3.3. ==Carefully define the follo...") (current)
- 16:37, 26 October 2018 (diff | hist) . . (+889) . . N Math 360, Fall 2018, Assignment 8 (Created page with "__NOTOC__ ''Mathematical proofs, like diamonds, are hard as well as clear, and will be touched with nothing but strict reasoning.'' : - John Locke, ''Second Reply to the Bish...") (current)
- 16:27, 26 October 2018 (diff | hist) . . (+1,703) . . N Math 260, Fall 2018, Assignment 8 (Created page with "__NOTOC__ ''Mathematical proofs, like diamonds, are hard as well as clear, and will be touched with nothing but strict reasoning.'' : - John Locke, ''Second Reply to the Bish...") (current)
- 16:05, 19 October 2018 (diff | hist) . . (+778) . . N Math 360, Fall 2018, Assignment 7 (Created page with "__NOTOC__ ''Do not imagine that mathematics is hard and crabbed and repulsive to commmon sense. It is merely the etherealization of common sense.'' : - Lord Kelvin ==Read:=...") (current)
- 15:58, 19 October 2018 (diff | hist) . . (+1,691) . . N Math 260, Fall 2018, Assignment 7 (Created page with "__NOTOC__ ''Do not imagine that mathematics is hard and crabbed and repulsive to commmon sense. It is merely the etherealization of common sense.'' : - Lord Kelvin ==Carefu...") (current)
- 16:24, 12 October 2018 (diff | hist) . . (+1,515) . . N Math 360, Fall 2018, Assignment 6 (Created page with "__NOTOC__ ''Mathematicians are like Frenchmen: whatever you say to them they translate into their own language, and forthwith it is something entirely different.'' : - Goethe...") (current)
- 15:50, 12 October 2018 (diff | hist) . . (+1,021) . . N Math 260, Fall 2018, Assignment 6 (Created page with "__NOTOC__ ''Mathematicians are like Frenchmen: whatever you say to them they translate into their own language, and forthwith it is something entirely different.'' : - Goethe...") (current)
- 17:10, 11 October 2018 (diff | hist) . . (+2,046) . . Math 260, Fall 2018, Assignment 5 (current)
- 16:52, 11 October 2018 (diff | hist) . . (+1,159) . . Math 260, Fall 2018, Assignment 4 (current)
- 16:39, 11 October 2018 (diff | hist) . . (+2,697) . . Math 260, Fall 2018, Assignment 3 (current)
- 16:13, 11 October 2018 (diff | hist) . . (+2,543) . . Math 260, Fall 2018, Assignment 2 (current)
- 15:50, 11 October 2018 (diff | hist) . . (+305) . . Math 260, Fall 2018, Assignment 1 (current)
- 16:53, 5 October 2018 (diff | hist) . . (+1,165) . . N Math 260, Fall 2018, Assignment 5 (Created page with "__NOTOC__ ''I tell them that if they will occupy themselves with the study of mathematics, they will find in it the best remedy against the lusts of the flesh.'' : - Thomas M...")
- 15:21, 5 October 2018 (diff | hist) . . (+1,564) . . N Math 360, Fall 2018, Assignment 5 (Created page with "__NOTOC__ ''I tell them that if they will occupy themselves with the study of mathematics, they will find in it the best remedy against the lusts of the flesh.'' : - Thomas M...") (current)
- 15:56, 28 September 2018 (diff | hist) . . (+1,858) . . N Math 260, Fall 2018, Assignment 4 (Created page with "__NOTOC__ ''I was at the mathematical school, where the master taught his pupils after a method scarce imaginable to us in Europe. The proposition and demonstration were fair...")
- 15:32, 28 September 2018 (diff | hist) . . (+1,840) . . N Math 360, Fall 2018, Assignment 4 (Created page with "__NOTOC__ ''I was at the mathematical school, where the master taught his pupils after a method scarce imaginable to us in Europe. The proposition and demonstration were fair...") (current)
- 16:33, 21 September 2018 (diff | hist) . . (+181) . . Math 260, Fall 2018, Assignment 3
- 16:27, 21 September 2018 (diff | hist) . . (+2,138) . . N Math 260, Fall 2018, Assignment 3 (Created page with "__NOTOC__ ''We admit, in geometry, not only infinite magnitudes, that is to say, magnitudes greater than any assignable magnitude, but infinite magnitudes infinitely greater,...")
- 15:42, 21 September 2018 (diff | hist) . . (+2,172) . . N Math 360, Fall 2018, Assignment 3 (Created page with "__NOTOC__ ''We admit, in geometry, not only infinite magnitudes, that is to say, magnitudes greater than any assignable magnitude, but infinite magnitudes infinitely greater,...") (current)
- 15:04, 14 September 2018 (diff | hist) . . (+1,431) . . N Math 360, Fall 2018, Assignment 2 (Created page with "__NOTOC__ ''No doubt many people feel that the inclusion of mathematics among the arts is unwarranted. The strongest objection is that mathematics has no emotional import. O...") (current)
- 14:49, 14 September 2018 (diff | hist) . . (+1,487) . . N Math 260, Fall 2018, Assignment 2 (Created page with "__NOTOC__ ''No doubt many people feel that the inclusion of mathematics among the arts is unwarranted. The strongest objection is that mathematics has no emotional import. O...")
- 15:03, 7 September 2018 (diff | hist) . . (+1,404) . . N Math 260, Fall 2018, Assignment 1 (Created page with "__NOTOC__ ''By one of those caprices of the mind, which we are perhaps most subject to in early youth, I at once gave up my former occupations; set down natural history and al...")
- 14:52, 7 September 2018 (diff | hist) . . (+1,829) . . N Math 360, Fall 2018, Assignment 1 (Created page with "__NOTOC__ ''By one of those caprices of the mind, which we are perhaps most subject to in early youth, I at once gave up my former occupations; set down natural history and al...") (current)
- 21:17, 6 September 2018 (diff | hist) . . (+3) . . Math 360, Fall 2018
- 15:23, 3 September 2018 (diff | hist) . . (+126) . . Main Page
- 15:18, 3 September 2018 (diff | hist) . . (0) . . Math 360, Fall 2018
- 15:17, 3 September 2018 (diff | hist) . . (+3,324) . . N Math 260, Fall 2018 (Created page with "==Course information== * See the [http://cartan.math.umb.edu/classes/f18_ma260/f18_ma260_syllabus.pdf syllabus] for general information and the schedule of readings. * Class...")
- 13:27, 3 September 2018 (diff | hist) . . (+3,321) . . N Math 360, Fall 2018 (Created page with "==Course information== * See the [http://cartan.math.umb.edu/classes/f18_ma360/f18_ma360_syllabus.pdf syllabus] for general information and the schedule of readings. * Class...")
- 14:18, 14 May 2018 (diff | hist) . . (+136) . . Math 380, Spring 2018, Assignment 14 (current)
- 14:15, 14 May 2018 (diff | hist) . . (+136) . . Math 380, Spring 2018, Assignment 13 (current)
- 13:58, 14 May 2018 (diff | hist) . . (+625) . . Math 380, Spring 2018, Assignment 9 (current)
- 13:11, 14 May 2018 (diff | hist) . . (+169) . . Math 380, Spring 2018, Assignment 8 (current)
- 15:35, 9 May 2018 (diff | hist) . . (+1,706) . . N Math 380, Spring 2018, Assignment 14 (Created page with "__NOTOC__ ''I must study politics and war that my sons may have liberty to study mathematics and philosophy.'' : - John Adams, letter to Abigail Adams, May 12, 1780 ==Solve...")
- 10:41, 8 May 2018 (diff | hist) . . (+1,722) . . N Math 361, Spring 2018, Assignment 14 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Conjugate (elements of an extension field). # Normal extension. # Se...") (current)
- 13:15, 27 April 2018 (diff | hist) . . (+1,746) . . N Math 361, Spring 2018, Assignment 13 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Solvable by radicals. # Symmetry (of a field extension). # Galois gr...") (current)
- 12:49, 27 April 2018 (diff | hist) . . (+3,436) . . N Math 380, Spring 2018, Assignment 13 (Created page with "__NOTOC__ ''"Reeling and Writhing, of course, to begin with,"'' ''the Mock Turtle replied;'' ''"And then the different branches of Arithmetic'' - ''Ambition, Distraction, Ugli...")
- 17:02, 19 April 2018 (diff | hist) . . (+1,055) . . N Math 361, Spring 2018, Assignment 12 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Splitting (of a polynomial). # Splitting field (of a polynomial). #...") (current)
- 16:50, 19 April 2018 (diff | hist) . . (+16) . . Math 380, Spring 2018, Assignment 12 (current)
- 16:50, 19 April 2018 (diff | hist) . . (+976) . . N Math 380, Spring 2018, Assignment 12 (Created page with "__NOTOC__ ''"When I think of Euclid even now, I have to wipe my sweaty brow."'' : - C. M. Bellman ==Read:== # Section 3.2. # Section 3.3. ==Carefully define the following...")
- 16:27, 12 April 2018 (diff | hist) . . (+2) . . Math 380, Spring 2018, Assignment 11 (current)
- 16:25, 12 April 2018 (diff | hist) . . (0) . . Math 380, Spring 2018, Assignment 11
- 16:23, 12 April 2018 (diff | hist) . . (+1,677) . . N Math 380, Spring 2018, Assignment 11 (Created page with "__NOTOC__ ''Algebra begins with the unknown and ends with the unknowable.'' : - Anonymous ==Read:== # Section 3.1. ==Carefully define the following terms, then give one ex...")
- 13:56, 12 April 2018 (diff | hist) . . (+1,851) . . N Math 361, Spring 2018, Assignment 11 (Created page with "__NOTOC__ ==Read:== # Section 32. ==Carefully define the following terms, then give one example and one non-example of each:== # Geometric construction. # Constructible nu...") (current)
- 13:31, 12 April 2018 (diff | hist) . . (+2,354) . . N Math 361, Spring 2018, Assignment 10 (Created page with "__NOTOC__ ==Read:== # Section 33. ==Carefully define the following terms, then give one example and one non-example of each:== # Relative algebraic closure (of $F$ inside...") (current)
- 14:41, 9 April 2018 (diff | hist) . . (+35) . . Math 380, Spring 2018 (current)
- 14:40, 9 April 2018 (diff | hist) . . (+36) . . Math 361, Spring 2018 (current)
- 18:31, 5 April 2018 (diff | hist) . . (+27) . . Math 380, Spring 2018, Assignment 10 (current)
- 16:42, 5 April 2018 (diff | hist) . . (+28) . . Math 380, Spring 2018, Assignment 10
- 16:39, 5 April 2018 (diff | hist) . . (+1,272) . . N Math 380, Spring 2018, Assignment 10 (Created page with "__NOTOC__ ''The danger already exists that the mathematicians have made a covenant with the devil to darken the spirit and to confine man in the bonds of Hell.'' : - Saint Au...")
- 16:53, 29 March 2018 (diff | hist) . . (+1,326) . . N Math 380, Spring 2018, Assignment 9 (Created page with "__NOTOC__ ''The moving power of mathematical invention is not reasoning but the imagination.'' : - Augustus de Morgan ==Read:== # Section 2.6. # Section 2.7. ==Carefully d...")
- 16:24, 29 March 2018 (diff | hist) . . (+2,657) . . N Math 361, Spring 2018, Assignment 9 (Created page with "__NOTOC__ ==Read:== # Section 30. # Section 31. ==Carefully define the following terms, then give one example and one non-example of each:== # Vector space (over an arbitr...") (current)
- 17:04, 22 March 2018 (diff | hist) . . (+643) . . N Math 380, Spring 2018, Assignment 7 (Created page with "__NOTOC__ ''Do not imagine that mathematics is hard and crabbed and repulsive to commmon sense. It is merely the etherealization of common sense.'' : - Lord Kelvin ==Carefu...") (current)
- 16:59, 22 March 2018 (diff | hist) . . (+1,135) . . N Math 380, Spring 2018, Assignment 8 (Created page with "__NOTOC__ ''Mathematical proofs, like diamonds, are hard as well as clear, and will be touched with nothing but strict reasoning.'' : - John Locke, ''Second Reply to the Bish...")
- 16:43, 22 March 2018 (diff | hist) . . (+1,169) . . N Math 361, Spring 2018, Assignment 8 (Created page with "__NOTOC__ ==Read:== # Section 29. ==Carefully define the following terms, then give one example and one non-example of each:== # Field extension. # Base field. # Extension...") (current)
- 16:34, 22 March 2018 (diff | hist) . . (+711) . . N Math 361, Spring 2018, Assignment 7 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Prime subfield. ==Carefully state the following theorems (you do no...") (current)
- 21:20, 8 March 2018 (diff | hist) . . (+627) . . Math 361, Spring 2018, Assignment 6 (current)
- 17:00, 1 March 2018 (diff | hist) . . (+849) . . N Math 380, Spring 2018, Assignment 6 (Created page with "__NOTOC__ ''Mathematicians are like Frenchmen: whatever you say to them they translate into their own language, and forthwith it is something entirely different.'' : - Goethe...") (current)
- 14:53, 1 March 2018 (diff | hist) . . (-1) . . Math 361, Spring 2018, Assignment 6
- 14:53, 1 March 2018 (diff | hist) . . (+2,101) . . N Math 361, Spring 2018, Assignment 6 (Created page with "__NOTOC__ ==Read:== # Section 27. ==Carefully define the following terms, then give one example and one non-example of each:== # Generator (of the ring $F[x]/\left\langle...")
- 14:06, 1 March 2018 (diff | hist) . . (+865) . . N Math 361, Spring 2018, Assignment 5 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Maximal ideal. ==Carefully state the following theorems (you do not...") (current)
- 17:56, 22 February 2018 (diff | hist) . . (+1,124) . . N Math 380, Spring 2018, Assignment 5 (Created page with "__NOTOC__ ''I tell them that if they will occupy themselves with the study of mathematics, they will find in it the best remedy against the lusts of the flesh.'' : - Thomas M...") (current)
- 10:57, 20 February 2018 (diff | hist) . . (+165) . . Math 380, Spring 2018, Assignment 4 (current)
- 11:02, 19 February 2018 (diff | hist) . . (+809) . . Math 380, Spring 2018, Assignment 4
- 10:15, 19 February 2018 (diff | hist) . . (+629) . . Math 380, Spring 2018, Assignment 4
- 17:56, 15 February 2018 (diff | hist) . . (+1,017) . . N Math 361, Spring 2018, Assignment 4 (Created page with "__NOTOC__ ==Read:== # Section 23. ==Carefully define the following terms, then give one example and one non-example of each:== # $R[x_1,\dots,x_n]$ (in terms of $R[x_1,\do...") (current)
- 17:45, 15 February 2018 (diff | hist) . . (+2,328) . . N Math 380, Spring 2018, Assignment 4 (Created page with "__NOTOC__ ''I was at the mathematical school, where the master taught his pupils after a method scarce imaginable to us in Europe. The proposition and demonstration were fair...")
- 17:11, 13 February 2018 (diff | hist) . . (+399) . . Math 380, Spring 2018, Assignment 3 (current)
- 14:08, 13 February 2018 (diff | hist) . . (+341) . . Math 380, Spring 2018, Assignment 3
- 11:08, 13 February 2018 (diff | hist) . . (+202) . . Math 380, Spring 2018, Assignment 3
- 20:16, 12 February 2018 (diff | hist) . . (+1,278) . . Math 380, Spring 2018, Assignment 3
- 17:59, 8 February 2018 (diff | hist) . . (+11) . . Math 361, Spring 2018, Assignment 3 (current)
- 17:59, 8 February 2018 (diff | hist) . . (+26) . . Math 361, Spring 2018, Assignment 3
- 17:58, 8 February 2018 (diff | hist) . . (+1,547) . . N Math 361, Spring 2018, Assignment 3 (Created page with "__NOTOC__ ==Read:== # Section 22. ==Carefully define the following terms, then give one example and one non-example of each:== # Polynomial (with coefficients in the commu...")
- 17:37, 8 February 2018 (diff | hist) . . (+1,972) . . N Math 380, Spring 2018, Assignment 3 (Created page with "__NOTOC__ ''No doubt many people feel that the inclusion of mathematics among the arts is unwarranted. The strongest objection is that mathematics has no emotional import. O...")
- 17:54, 1 February 2018 (diff | hist) . . (+2,686) . . N Math 380, Spring 2018, Assignment 2 (Created page with "__NOTOC__ ''By one of those caprices of the mind, which we are perhaps most subject to in early youth, I at once gave up my former occupations; set down natural history and al...") (current)
- 17:26, 1 February 2018 (diff | hist) . . (+1,427) . . N Math 361, Spring 2018, Assignment 2 (Created page with "__NOTOC__ ==Read:== # Section 20. # Section 21. ==Carefully define the following terms, then give one example and one non-example of each:== # Fraction (defined by two ele...") (current)
- 17:27, 25 January 2018 (diff | hist) . . (+10) . . Math 380, Spring 2018, Assignment 1 (current)
- 17:26, 25 January 2018 (diff | hist) . . (+1,673) . . N Math 380, Spring 2018, Assignment 1 (Created page with "''The beginner ... should not be discouraged if ... he finds that he does not have the prerequisites for reading the prerequisites.'' : - P. Halmos ==Read:== # Section 1.1....")
- 17:08, 25 January 2018 (diff | hist) . . (+127) . . Math 361, Spring 2018, Assignment 1 (current)
- 17:04, 25 January 2018 (diff | hist) . . (+2,118) . . N Math 361, Spring 2018, Assignment 1 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Field. # Zero-divisor. # Integral domain. # Divisibility relation. #...")
- 13:52, 15 January 2018 (diff | hist) . . (+165) . . Main Page
- 13:46, 15 January 2018 (diff | hist) . . (+3,213) . . N Math 380, Spring 2018 (Created page with "==Course information== * See the [http://cartan.math.umb.edu/classes/s18_ma380/s18_ma380_syllabus.pdf syllabus] for general information and the schedule of readings. * Class...")
- 13:12, 15 January 2018 (diff | hist) . . (+3,192) . . N Math 361, Spring 2018 (Created page with "==Course information== * See the [http://cartan.math.umb.edu/classes/s18_ma361/s18_ma361_syllabus.pdf syllabus] for general information and the schedule of readings. * Class...")
- 15:46, 16 December 2017 (diff | hist) . . (+47) . . Math 260, Fall 2017 (current)
- 15:44, 16 December 2017 (diff | hist) . . (+53) . . Math 360, Fall 2017 (current)
- 17:31, 7 December 2017 (diff | hist) . . (+1,330) . . N Math 360, Fall 2017, Assignment 14 (Created page with "__NOTOC__ ''I must study politics and war that my sons may have liberty to study mathematics and philosophy.'' : - John Adams, letter to Abigail Adams, May 12, 1780 ==Read:=...") (current)
- 17:21, 7 December 2017 (diff | hist) . . (+1,394) . . N Math 260, Fall 2017, Assignment 14 (Created page with "__NOTOC__ ''I must study politics and war that my sons may have liberty to study mathematics and philosophy.'' : - John Adams, letter to Abigail Adams, May 12, 1780 ==Read:=...") (current)
- 17:58, 30 November 2017 (diff | hist) . . (+752) . . N Math 360, Fall 2017, Assignment 12 (Created page with "__NOTOC__ ''"When I think of Euclid even now, I have to wipe my sweaty brow."'' : - C. M. Bellman ==Carefully define the following terms, then give one example and one non-e...") (current)
- 17:52, 30 November 2017 (diff | hist) . . (+1,436) . . N Math 360, Fall 2017, Assignment 13 (Created page with "__NOTOC__ ''"Reeling and Writhing, of course, to begin with,"'' ''the Mock Turtle replied;'' ''"And then the different branches of Arithmetic'' - ''Ambition, Distraction, Ugli...") (current)
- 17:30, 30 November 2017 (diff | hist) . . (+758) . . N Math 260, Fall 2017, Assignment 12 (Created page with "__NOTOC__ ''"When I think of Euclid even now, I have to wipe my sweaty brow."'' : - C. M. Bellman ==Read:== # Section 6.1. ==Carefully define the following terms, then giv...") (current)
- 17:15, 30 November 2017 (diff | hist) . . (+50) . . Math 260, Fall 2017, Assignment 13 (current)
- 17:13, 30 November 2017 (diff | hist) . . (+1,628) . . N Math 260, Fall 2017, Assignment 13 (Created page with "__NOTOC__ ''"Reeling and Writhing, of course, to begin with,"'' ''the Mock Turtle replied;'' ''"And then the different branches of Arithmetic'' - ''Ambition, Distraction, Ugli...")
- 17:59, 16 November 2017 (diff | hist) . . (+851) . . N Math 260, Fall 2017, Assignment 10 (Created page with "__NOTOC__ ''The danger already exists that the mathematicians have made a covenant with the devil to darken the spirit and to confine man in the bonds of Hell.'' : - Saint Au...") (current)
- 17:52, 16 November 2017 (diff | hist) . . (+1,298) . . N Math 260, Fall 2017, Assignment 11 (Created page with "__NOTOC__ ''Algebra begins with the unknown and ends with the unknowable.'' : - Anonymous ==Read:== # Section 5.3. ==Carefully define the following terms, then give one ex...") (current)
- 17:38, 16 November 2017 (diff | hist) . . (+1,645) . . N Math 360, Fall 2017, Assignment 11 (Created page with "__NOTOC__ ''Algebra begins with the unknown and ends with the unknowable.'' : - Anonymous ==Read:== # Section 13. # Section 14. ==Carefully define the following terms, the...") (current)
- 17:20, 16 November 2017 (diff | hist) . . (+1,472) . . N Math 360, Fall 2017, Assignment 10 (Created page with "__NOTOC__ ''The danger already exists that the mathematicians have made a covenant with the devil to darken the spirit and to confine man in the bonds of Hell.'' : - Saint Au...") (current)
- 16:58, 2 November 2017 (diff | hist) . . (+1,361) . . N Math 360, Fall 2017, Assignment 9 (Created page with "__NOTOC__ ''The moving power of mathematical invention is not reasoning but the imagination.'' : - Augustus de Morgan ==Read:== # Section 10. ==Carefully define the follow...") (current)
- 16:41, 2 November 2017 (diff | hist) . . (+2,274) . . N Math 260, Fall 2017, Assignment 9 (Created page with "__NOTOC__ ''The moving power of mathematical invention is not reasoning but the imagination.'' : - Augustus de Morgan ==Read:== # Section 3.4. # Section 5.1 (you may omit t...") (current)
- 16:57, 26 October 2017 (diff | hist) . . (+1,160) . . N Math 260, Fall 2017, Assignment 8 (Created page with "__NOTOC__ ''Mathematical proofs, like diamonds, are hard as well as clear, and will be touched with nothing but strict reasoning.'' : - John Locke, ''Second Reply to the Bish...") (current)
- 16:49, 26 October 2017 (diff | hist) . . (+2,481) . . N Math 360, Fall 2017, Assignment 8 (Created page with "__NOTOC__ ''Mathematical proofs, like diamonds, are hard as well as clear, and will be touched with nothing but strict reasoning.'' : - John Locke, ''Second Reply to the Bish...") (current)
- 16:58, 19 October 2017 (diff | hist) . . (+1,938) . . N Math 360, Fall 2017, Assignment 7 (Created page with "__NOTOC__ ''Do not imagine that mathematics is hard and crabbed and repulsive to commmon sense. It is merely the etherealization of common sense.'' : - Lord Kelvin ==Read:=...") (current)
- 16:41, 19 October 2017 (diff | hist) . . (+1,292) . . N Math 260, Fall 2017, Assignment 7 (Created page with "__NOTOC__ ''Do not imagine that mathematics is hard and crabbed and repulsive to commmon sense. It is merely the etherealization of common sense.'' : - Lord Kelvin ==Read:=...") (current)
- 16:53, 12 October 2017 (diff | hist) . . (+1,436) . . N Math 260, Fall 2017, Assignment 6 (Created page with "__NOTOC__ ''Mathematicians are like Frenchmen: whatever you say to them they translate into their own language, and forthwith it is something entirely different.'' : - Goethe...") (current)
- 13:28, 12 October 2017 (diff | hist) . . (+980) . . N Math 260, Fall 2017, Assignment 5 (Created page with "__NOTOC__ ''I tell them that if they will occupy themselves with the study of mathematics, they will find in it the best remedy against the lusts of the flesh.'' : - Thomas M...") (current)
- 13:17, 12 October 2017 (diff | hist) . . (+861) . . N Math 360, Fall 2017, Assignment 6 (Created page with "__NOTOC__ ''Mathematicians are like Frenchmen: whatever you say to them they translate into their own language, and forthwith it is something entirely different.'' : - Goethe...") (current)
- 13:06, 12 October 2017 (diff | hist) . . (+451) . . Math 360, Fall 2017, Assignment 5 (current)
- 13:02, 12 October 2017 (diff | hist) . . (+25) . . Math 360, Fall 2017, Assignment 5
- 13:01, 12 October 2017 (diff | hist) . . (+740) . . N Math 360, Fall 2017, Assignment 5 (Created page with "__NOTOC__ ''I tell them that if they will occupy themselves with the study of mathematics, they will find in it the best remedy against the lusts of the flesh.'' : - Thomas M...")
- 16:49, 28 September 2017 (diff | hist) . . (+2,354) . . N Math 360, Fall 2017, Assignment 4 (Created page with "__NOTOC__ ''I was at the mathematical school, where the master taught his pupils after a method scarce imaginable to us in Europe. The proposition and demonstration were fair...") (current)
- 16:18, 28 September 2017 (diff | hist) . . (+2,309) . . N Math 260, Fall 2017, Assignment 4 (Created page with "__NOTOC__ ''I was at the mathematical school, where the master taught his pupils after a method scarce imaginable to us in Europe. The proposition and demonstration were fair...") (current)
- 16:56, 21 September 2017 (diff | hist) . . (+1,828) . . N Math 360, Fall 2017, Assignment 3 (Created page with "__NOTOC__ ''No doubt many people feel that the inclusion of mathematics among the arts is unwarranted. The strongest objection is that mathematics has no emotional import. O...") (current)
- 16:32, 21 September 2017 (diff | hist) . . (+1,665) . . N Math 260, Fall 2017, Assignment 3 (Created page with "__NOTOC__ ''No doubt many people feel that the inclusion of mathematics among the arts is unwarranted. The strongest objection is that mathematics has no emotional import. O...") (current)
- 16:51, 14 September 2017 (diff | hist) . . (+27) . . Math 260, Fall 2017, Assignment 2 (current)
- 16:50, 14 September 2017 (diff | hist) . . (+1,451) . . N Math 360, Fall 2017, Assignment 2 (Created page with "__NOTOC__ ''We admit, in geometry, not only infinite magnitudes, that is to say, magnitudes greater than any assignable magnitude, but infinite magnitudes infinitely greater,...") (current)
- 16:39, 14 September 2017 (diff | hist) . . (+1,337) . . N Math 260, Fall 2017, Assignment 2 (Created page with "__NOTOC__ ''We admit, in geometry, not only infinite magnitudes, that is to say, magnitudes greater than any assignable magnitude, but infinite magnitudes infinitely greater,...")
- 16:51, 7 September 2017 (diff | hist) . . (+1,845) . . N Math 360, Fall 2017, Assignment 1 (Created page with "__NOTOC__ ''By one of those caprices of the mind, which we are perhaps most subject to in early youth, I at once gave up my former occupations; set down natural history and al...") (current)
- 16:29, 7 September 2017 (diff | hist) . . (+1,822) . . N Math 260, Fall 2017, Assignment 1 (Created page with "__NOTOC__ ''By one of those caprices of the mind, which we are perhaps most subject to in early youth, I at once gave up my former occupations; set down natural history and al...") (current)
- 20:08, 4 September 2017 (diff | hist) . . (+3,200) . . N Math 360, Fall 2017 (Created page with "==Course information== * See the [http://cartan.math.umb.edu/classes/f17_ma360/f17_ma360_syllabus.pdf syllabus] for general information and the schedule of readings. * Class...")
- 20:05, 4 September 2017 (diff | hist) . . (+126) . . Main Page
- 20:00, 4 September 2017 (diff | hist) . . (+3,195) . . N Math 260, Fall 2017 (Created page with "==Course information== * See the [http://cartan.math.umb.edu/classes/f17_ma260/f17_ma260_syllabus.pdf syllabus] for general information and the schedule of readings. * Class...")
- 11:59, 15 May 2017 (diff | hist) . . (+713) . . Math 361, Spring 2017, Assignment 13 (current)
- 11:51, 15 May 2017 (diff | hist) . . (+1,512) . . Math 361, Spring 2017, Assignment 10 (current)
- 16:59, 4 May 2017 (diff | hist) . . (+838) . . N Math 361, Spring 2017, Assignment 14 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Subnormal series. # Composition series. # Composition factors. # Sol...") (current)
- 16:49, 4 May 2017 (diff | hist) . . (+1,012) . . N Math 260, Spring 2017, Assignment 14 (Created page with "__NOTOC__ ''I must study politics and war that my sons may have liberty to study mathematics and philosophy.'' : - John Adams, letter to Abigail Adams, May 12, 1780 ==Carefu...") (current)
- 16:24, 27 April 2017 (diff | hist) . . (+1,178) . . N Math 260, Spring 2017, Assignment 13 (Created page with "__NOTOC__ ''"Reeling and Writhing, of course, to begin with,"'' ''the Mock Turtle replied;'' ''"And then the different branches of Arithmetic'' - ''Ambition, Distraction, Ugli...") (current)
- 16:06, 27 April 2017 (diff | hist) . . (+1,656) . . N Math 361, Spring 2017, Assignment 13 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Symmetry (of a field extension $F\rightarrow E$). # Galois group (of...")
- 16:43, 26 April 2017 (diff | hist) . . (+47) . . Math 260, Spring 2017 (current)
- 16:41, 26 April 2017 (diff | hist) . . (+44) . . Math 361, Spring 2017 (current)
- 16:30, 20 April 2017 (diff | hist) . . (+1,200) . . N Math 260, Spring 2017, Assignment 12 (Created page with "__NOTOC__ ''Algebra begins with the unknown and ends with the unknowable.'' : - Anonymous ==Carefully define the following terms, then give one example and one non-example o...") (current)
- 16:17, 20 April 2017 (diff | hist) . . (+1,591) . . N Math 361, Spring 2017, Assignment 12 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Splitting field (of a non-constant polynomial $f\in F[x]$). # Root to...") (current)
- 09:41, 17 April 2017 (diff | hist) . . (+845) . . Math 361, Spring 2017, Assignment 11 (current)
- 17:10, 13 April 2017 (diff | hist) . . (+1,695) . . N Math 260, Spring 2017, Assignment 10 (Created page with "__NOTOC__ ''The moving power of mathematical invention is not reasoning but the imagination.'' : - Augustus de Morgan ==Carefully define the following terms, then give one e...") (current)
- 16:53, 13 April 2017 (diff | hist) . . (+878) . . N Math 260, Spring 2017, Assignment 11 (Created page with "__NOTOC__ ''The danger already exists that the mathematicians have made a covenant with the devil to darken the spirit and to confine man in the bonds of Hell.'' : - Saint Au...") (current)
- 16:48, 13 April 2017 (diff | hist) . . (+1,173) . . N Math 361, Spring 2017, Assignment 11 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Compass-and-straightedge construction. # Constructible number. ==Car...")
- 16:39, 13 April 2017 (diff | hist) . . (+2,709) . . N Math 361, Spring 2017, Assignment 10 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Relative algebraic closure (of a field $F$ in an extension $E$). # $\...")
- 09:38, 10 April 2017 (diff | hist) . . (+982) . . Math 361, Spring 2017, Assignment 6 (current)
- 21:46, 9 April 2017 (diff | hist) . . (+2,161) . . Math 260, Spring 2017, Assignment 5 (current)
- 21:20, 9 April 2017 (diff | hist) . . (+525) . . Math 361, Spring 2017, Assignment 9 (current)
- 10:17, 6 April 2017 (diff | hist) . . (+970) . . Math 361, Spring 2017, Assignment 7 (current)
- 10:28, 4 April 2017 (diff | hist) . . (+657) . . Math 361, Spring 2017, Assignment 9
- 16:30, 30 March 2017 (diff | hist) . . (+1,320) . . N Math 361, Spring 2017, Assignment 9 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Vector space (over a field $F$). # Subspace (of a vector space). # Su...")
- 16:13, 30 March 2017 (diff | hist) . . (+1,370) . . N Math 260, Spring 2017, Assignment 9 (Created page with "__NOTOC__ ''Mathematical proofs, like diamonds, are hard as well as clear, and will be touched with nothing but strict reasoning.'' : - John Locke, ''Second Reply to the Bish...") (current)
- 16:42, 23 March 2017 (diff | hist) . . (+941) . . N Math 260, Spring 2017, Assignment 7 (Created page with "__NOTOC__ ''Mathematicians are like Frenchmen: whatever you say to them they translate into their own language, and forthwith it is something entirely different.'' : - Goethe...") (current)
- 16:34, 23 March 2017 (diff | hist) . . (+1,351) . . N Math 260, Spring 2017, Assignment 8 (Created page with "__NOTOC__ ''Do not imagine that mathematics is hard and crabbed and repulsive to commmon sense. It is merely the etherealization of common sense.'' : - Lord Kelvin ==Carefu...") (current)
- 13:26, 23 March 2017 (diff | hist) . . (+1,620) . . N Math 361, Spring 2017, Assignment 8 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Field extension. # Extension field. # Base field. # Algebraic element...") (current)
- 13:04, 23 March 2017 (diff | hist) . . (+741) . . N Math 361, Spring 2017, Assignment 7 (Created page with "__NOTOC__ ==Carefully state the following theorems (you do not need to prove them):== # List of prime ideals of $\mathbb{Z}$. # List of maximal ideals of $\mathbb{Z}$. # Lis...")
- 12:56, 23 March 2017 (diff | hist) . . (+910) . . N Math 361, Spring 2017, Assignment 6 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Princpial ideal (generated by an element $a$ in a commutative ring $R...")
- 17:18, 2 March 2017 (diff | hist) . . (+1,476) . . N Math 260, Spring 2017, Assignment 6 (Created page with "__NOTOC__ ''I tell them that if they will occupy themselves with the study of mathematics, they will find in it the best remedy against the lusts of the flesh.'' : - Thomas M...") (current)
- 17:04, 2 March 2017 (diff | hist) . . (+1,419) . . N Math 260, Spring 2017, Assignment 5 (Created page with "__NOTOC__ ''I was at the mathematical school, where the master taught his pupils after a method scarce imaginable to us in Europe. The proposition and demonstration were fair...")
- 17:01, 23 February 2017 (diff | hist) . . (+1,617) . . N Math 361, Spring 2017, Assignment 5 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Ring homomorphism. # Unital (ring homomorphsim). # Image (of a ring h...") (current)
- 14:11, 18 February 2017 (diff | hist) . . (+16) . . Math 141, Spring 2016, Assignment 1 (current)
- 14:06, 18 February 2017 (diff | hist) . . (+599) . . Math 361, Spring 2017, Assignment 4 (current)
- 17:15, 16 February 2017 (diff | hist) . . (+1,024) . . N Math 361, Spring 2017, Assignment 4 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Divisibility relation (in an integral domain). # Associate relation (...")
- 17:02, 16 February 2017 (diff | hist) . . (+1,501) . . N Math 260, Spring 2017, Assignment 4 (Created page with "__NOTOC__ ''We admit, in geometry, not only infinite magnitudes, that is to say, magnitudes greater than any assignable magnitude, but infinite magnitudes infinitely greater,...") (current)
- 21:56, 15 February 2017 (diff | hist) . . (+1,389) . . N Math 260, Spring 2017, Assignment 3 (Created page with "__NOTOC__ ''No doubt many people feel that the inclusion of mathematics among the arts is unwarranted. The strongest objection is that mathematics has no emotional import. O...") (current)
- 19:00, 13 February 2017 (diff | hist) . . (+687) . . Math 361, Spring 2017, Assignment 3 (current)
- 17:48, 9 February 2017 (diff | hist) . . (+143) . . Math 361, Spring 2017, Assignment 3
- 17:46, 9 February 2017 (diff | hist) . . (+1,626) . . N Math 361, Spring 2017, Assignment 3 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Polynomial function defined by a polynomial expression. # Zero (a.k....")
- 21:00, 4 February 2017 (diff | hist) . . (+577) . . Math 361, Spring 2017, Assignment 2 (current)
- 17:59, 2 February 2017 (diff | hist) . . (+33) . . Math 260, Spring 2017, Assignment 2 (current)
- 17:57, 2 February 2017 (diff | hist) . . (+887) . . N Math 260, Spring 2017, Assignment 2 (Created page with "__NOTOC__ ''The beginner...should not be discouraged if...he finds that he does not have the prerequisites for reading the prerequisites.'' : - P. Halmos ==Carefully define...")
- 17:52, 2 February 2017 (diff | hist) . . (+977) . . N Math 361, Spring 2017, Assignment 2 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Formal fraction. # Equivalence (of formal fractions). # Fraction. #...")
- 17:13, 26 January 2017 (diff | hist) . . (+826) . . N Math 361, Spring 2017, Assignment 1 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Group of units (of a unital ring). # Direct product (of two rings)....") (current)
- 17:06, 26 January 2017 (diff | hist) . . (+1,088) . . N Math 260, Spring 2017, Assignment 1 (Created page with "__NOTOC__ ''By one of those caprices of the mind, which we are perhaps most subject to in early youth, I at once gave up my former occupations; set down natural history and al...") (current)
- 18:50, 23 January 2017 (diff | hist) . . (+133) . . Main Page
- 18:45, 23 January 2017 (diff | hist) . . (-32) . . Math 361, Spring 2017
- 18:41, 23 January 2017 (diff | hist) . . (+3,186) . . N Math 260, Spring 2017 (Created page with "==Course information== * See the [http://cartan.math.umb.edu/classes/s17_ma260/s17_ma260_syllabus.pdf syllabus] for general information and the schedule of readings. * Class...")
- 18:34, 23 January 2017 (diff | hist) . . (+3,209) . . N Math 361, Spring 2017 (Created page with "==Course information== * See the [http://cartan.math.umb.edu/classes/s17_ma361/s17_ma361_syllabus.pdf syllabus] for general information and the schedule of readings. * Class...")
- 18:00, 8 December 2016 (diff | hist) . . (+1,358) . . N Math 480, Fall 2016, Assignment 14 (Created page with "__NOTOC__ ''I must study politics and war that my sons may have liberty to study mathematics and philosophy.'' : - John Adams, letter to Abigail Adams, May 12, 1780 ==Carefu...")
- 17:42, 8 December 2016 (diff | hist) . . (+1,952) . . N Math 360, Fall 2016, Assignment 14 (Created page with "__NOTOC__ ''I must study politics and war that my sons may have liberty to study mathematics and philosophy.'' : - John Adams, letter to Abigail Adams, May 12, 1780 ==Carefu...") (current)
- 17:59, 1 December 2016 (diff | hist) . . (+2,174) . . N Math 480, Fall 2016, Assignment 13 (Created page with "__NOTOC__ ''"Reeling and Writhing, of course, to begin with,"'' ''the Mock Turtle replied;'' ''"And then the different branches of Arithmetic'' - ''Ambition, Distraction, Ugli...") (current)
- 17:30, 1 December 2016 (diff | hist) . . (+1,071) . . N Math 360, Fall 2016, Assignment 13 (Created page with "__NOTOC__ ''"Reeling and Writhing, of course, to begin with,"'' ''the Mock Turtle replied;'' ''"And then the different branches of Arithmetic'' - ''Ambition, Distraction, Ugli...") (current)
- 16:25, 26 November 2016 (diff | hist) . . (+1,049) . . N Math 480, Fall 2016, Assignment 10 (Created page with "__NOTOC__ ''The moving power of mathematical invention is not reasoning but the imagination.'' : - Augustus de Morgan ==Carefully state the following theorems (you do not ne...") (current)
- 16:13, 26 November 2016 (diff | hist) . . (+35) . . Math 480, Fall 2016, Assignment 11 (current)
- 16:01, 26 November 2016 (diff | hist) . . (+643) . . Math 480, Fall 2016, Assignment 11
- 15:28, 26 November 2016 (diff | hist) . . (+1,592) . . N Math 480, Fall 2016, Assignment 11 (Created page with "__NOTOC__ ''The danger already exists that the mathematicians have made a covenant with the devil to darken the spirit and to confine man in the bonds of Hell.'' : - Saint Au...")
- 15:09, 26 November 2016 (diff | hist) . . (+1,669) . . N Math 480, Fall 2016, Assignment 12 (Created page with "__NOTOC__ ''Algebra begins with the unknown and ends with the unknowable.'' : - Anonymous ==Carefully define the following terms, then give one example and one non-example o...") (current)
- 14:23, 26 November 2016 (diff | hist) . . (+899) . . N Math 360, Fall 2016, Assignment 12 (Created page with "__NOTOC__ ''Algebra begins with the unknown and ends with the unknowable.'' : - Anonymous ==Carefully define the following terms, then give one example and one non-example o...") (current)
- 14:17, 26 November 2016 (diff | hist) . . (+594) . . N Math 360, Fall 2016, Assignment 11 (Created page with "__NOTOC__ ''The danger already exists that the mathematicians have made a covenant with the devil to darken the spirit and to confine man in the bonds of Hell.'' : - Saint Au...") (current)
- 17:46, 10 November 2016 (diff | hist) . . (+2,013) . . N Math 360, Fall 2016, Assignment 10 (Created page with "__NOTOC__ ''The moving power of mathematical invention is not reasoning but the imagination.'' : - Augustus de Morgan ==Carefully define the following terms, then give one e...") (current)
- 16:56, 3 November 2016 (diff | hist) . . (+657) . . N Math 480, Fall 2016, Assignment 9 (Created page with "__NOTOC__ ''Mathematical proofs, like diamonds, are hard as well as clear, and will be touched with nothing but strict reasoning.'' : - John Locke, ''Second Reply to the Bish...") (current)
- 16:50, 3 November 2016 (diff | hist) . . (+1,969) . . N Math 360, Fall 2016, Assignment 9 (Created page with "__NOTOC__ ''Mathematical proofs, like diamonds, are hard as well as clear, and will be touched with nothing but strict reasoning.'' : - John Locke, ''Second Reply to the Bish...") (current)
- 16:41, 27 October 2016 (diff | hist) . . (+792) . . N Math 480, Fall 2016, Assignment 8 (Created page with "__NOTOC__ ''Do not imagine that mathematics is hard and crabbed and repulsive to commmon sense. It is merely the etherealization of common sense.'' : - Lord Kelvin ==Carefu...") (current)
- 16:35, 27 October 2016 (diff | hist) . . (+946) . . N Math 360, Fall 2016, Assignment 8 (Created page with "__NOTOC__ ''Do not imagine that mathematics is hard and crabbed and repulsive to commmon sense. It is merely the etherealization of common sense.'' : - Lord Kelvin ==Carefu...") (current)
- 16:31, 20 October 2016 (diff | hist) . . (+495) . . N Math 480, Fall 2016, Assignment 7 (Created page with "__NOTOC__ ''Mathematicians are like Frenchmen: whatever you say to them they translate into their own language, and forthwith it is something entirely different.'' : - Goethe...") (current)
- 16:24, 20 October 2016 (diff | hist) . . (+1,120) . . N Math 360, Fall 2016, Assignment 7 (Created page with "__NOTOC__ ''Mathematicians are like Frenchmen: whatever you say to them they translate into their own language, and forthwith it is something entirely different.'' : - Goethe...") (current)
- 15:52, 19 October 2016 (diff | hist) . . (+53) . . Math 480, Fall 2016 (current)
- 15:49, 19 October 2016 (diff | hist) . . (+53) . . Math 360, Fall 2016 (current)
- 14:37, 14 October 2016 (diff | hist) . . (+148) . . Math 480, Fall 2016
- 16:29, 13 October 2016 (diff | hist) . . (+918) . . N Math 480, Fall 2016, Assignment 6 (Created page with "__NOTOC__ ''I tell them that if they will occupy themselves with the study of mathematics, they will find in it the best remedy against the lusts of the flesh.'' : - Thomas M...") (current)
- 16:21, 13 October 2016 (diff | hist) . . (+1,074) . . N Math 360, Fall 2016, Assignment 6 (Created page with "__NOTOC__ ''I tell them that if they will occupy themselves with the study of mathematics, they will find in it the best remedy against the lusts of the flesh.'' : - Thomas M...") (current)
- 16:39, 6 October 2016 (diff | hist) . . (+1,371) . . N Math 480, Fall 2016, Assignment 5 (Created page with "__NOTOC__ ''I was at the mathematical school, where the master taught his pupils after a method scarce imaginable to us in Europe. The proposition and demonstration were fair...") (current)
- 16:24, 6 October 2016 (diff | hist) . . (+1,799) . . N Math 360, Fall 2016, Assignment 5 (Created page with "__NOTOC__ ''I was at the mathematical school, where the master taught his pupils after a method scarce imaginable to us in Europe. The proposition and demonstration were fair...") (current)
- 16:05, 29 September 2016 (diff | hist) . . (+1,198) . . N Math 480, Fall 2016, Assignment 4 (Created page with "__NOTOC__ ''We admit, in geometry, not only infinite magnitudes, that is to say, magnitudes greater than any assignable magnitude, but infinite magnitudes infinitely greater,...") (current)
- 15:52, 29 September 2016 (diff | hist) . . (+1,866) . . N Math 360, Fall 2016, Assignment 4 (Created page with "__NOTOC__ ''We admit, in geometry, not only infinite magnitudes, that is to say, magnitudes greater than any assignable magnitude, but infinite magnitudes infinitely greater,...") (current)
- 16:52, 22 September 2016 (diff | hist) . . (+1,671) . . N Math 480, Fall 2016, Assignment 3 (Created page with "__NOTOC__ ''No doubt many people feel that the inclusion of mathematics among the arts is unwarranted. The strongest objection is that mathematics has no emotional import. O...") (current)
- 16:36, 22 September 2016 (diff | hist) . . (+1,713) . . N Math 360, Fall 2016, Assignment 3 (Created page with "__NOTOC__ ''No doubt many people feel that the inclusion of mathematics among the arts is unwarranted. The strongest objection is that mathematics has no emotional import. O...") (current)
- 16:19, 15 September 2016 (diff | hist) . . (+1,375) . . N Math 480, Fall 2016, Assignment 2 (Created page with "__NOTOC__ ''The beginner...should not be discouraged if...he finds that he does not have the prerequisites for reading the prerequisites.'' : - P. Halmos ==Carefully define...") (current)
- 16:03, 15 September 2016 (diff | hist) . . (+1,090) . . N Math 360, Fall 2016, Assignment 2 (Created page with "__NOTOC__ ''The beginner...should not be discouraged if...he finds that he does not have the prerequisites for reading the prerequisites.'' : - P. Halmos ==Carefully define...") (current)
- 16:08, 8 September 2016 (diff | hist) . . (+1,719) . . Math 480, Fall 2016, Assignment 1 (current)
- 12:57, 8 September 2016 (diff | hist) . . (+1,718) . . N Math 360, Fall 2016, Assignment 1 (Created page with "__NOTOC__ ''By one of those caprices of the mind, which we are perhaps most subject to in early youth, I at once gave up my former occupations; set down natural history and al...")
- 14:05, 26 August 2016 (diff | hist) . . (-1) . . Math 360, Fall 2016
- 14:05, 26 August 2016 (diff | hist) . . (-1) . . Math 480, Fall 2016
- 16:27, 25 August 2016 (diff | hist) . . (+128) . . Main Page
- 16:24, 25 August 2016 (diff | hist) . . (+2) . . Math 360, Fall 2016
- 16:19, 25 August 2016 (diff | hist) . . (0) . . Math 480, Fall 2016
- 16:18, 25 August 2016 (diff | hist) . . (+3,254) . . N Math 480, Fall 2016 (Created page with "==Course information== * See the [http://cartan.math.umb.edu/classes/f16_ma480/f16_ma480_syllabus.pdf syllabus] for general information and the schedule of readings. * Class...")
- 14:14, 25 August 2016 (diff | hist) . . (+3,188) . . N Math 360, Fall 2016 (Created page with "==Course information== * See the [http://cartan.math.umb.edu/classes/f16_ma360/f16_ma360_syllabus.pdf syllabus] for general information and the schedule of readings. * Class...")
- 16:35, 5 May 2016 (diff | hist) . . (+522) . . N Math 141, Spring 2016, Assignment 14 (Created page with "__NOTOC__ ''I must study politics and war that my sons may have liberty to study mathematics and philosophy.'' : - John Adams, letter to Abigail Adams, May 12, 1780 ==State...") (current)
- 16:27, 5 May 2016 (diff | hist) . . (+699) . . N Math 361, Spring 2016, Assignment 14 (Created page with "__NOTOC__ ==Carefully define the following terms, then give an example and a non-example of each:== # Composition series (i.e. saturated subnormal series). # Composition fac...")
- 14:33, 2 May 2016 (diff | hist) . . (+423) . . Math 141, Spring 2016
- 16:10, 28 April 2016 (diff | hist) . . (+569) . . N Math 141, Spring 2016, Assignment 13 (Created page with "__NOTOC__ ''"Reeling and Writhing, of course, to begin with,"'' ''the Mock Turtle replied;'' ''"And then the different branches of Arithmetic'' - ''Ambition, Distraction, Ugli...") (current)
- 16:02, 28 April 2016 (diff | hist) . . (+1,435) . . N Math 361, Spring 2016, Assignment 13 (Created page with "__NOTOC__ ==Carefully define the following terms, then give an example and a non-example of each:== # Galois correspondence (i.e. the pair of maps $\gamma$ and $\phi$ that w...") (current)
- 16:19, 21 April 2016 (diff | hist) . . (+838) . . N Math 141, Spring 2016, Assignment 12 (Created page with "__NOTOC__ ''Algebra begins with the unknown and ends with the unknowable.'' : - Anonymous ==Carefully define the following terms, then give one example and one non-example o...") (current)
- 16:07, 21 April 2016 (diff | hist) . . (+1,424) . . N Math 361, Spring 2016, Assignment 12 (Created page with "__NOTOC__ ==Carefully define the following terms, then give an example and a non-example of each:== # Polynomial with distinct roots. # Formal derivative. # $GF(q)$. # Solva...") (current)
- 16:55, 14 April 2016 (diff | hist) . . (+547) . . N Math 141, Spring 2016, Assignment 10 (Created page with "__NOTOC__ ''The moving power of mathematical invention is not reasoning but the imagination.'' : - Augustus de Morgan ==Carefully state the following tests for convergence:=...") (current)
- 16:49, 14 April 2016 (diff | hist) . . (+571) . . N Math 141, Spring 2016, Assignment 11 (Created page with "__NOTOC__ ''The danger already exists that the mathematicians have made a covenant with the devil to darken the spirit and to confine man in the bonds of Hell.'' : - Saint Au...") (current)
- 16:43, 14 April 2016 (diff | hist) . . (+496) . . N Math 361, Spring 2016, Assignment 11 (Created page with "__NOTOC__ ==Carefully state the following theorems (you do not need to prove them):== # Theorem relating finite fields to splitting fields (i.e. "Any field with q elements i...") (current)
- 16:36, 14 April 2016 (diff | hist) . . (+1,750) . . N Math 361, Spring 2016, Assignment 10 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Constructible number. # Splitting field (of some non-constant polynom...") (current)
- 21:59, 7 April 2016 (diff | hist) . . (+93) . . Math 141, Spring 2016
- 13:50, 6 April 2016 (diff | hist) . . (+596) . . N Math 141, Spring 2016, Assignment 6 (Created page with "__NOTOC__ ''I tell them that if they will occupy themselves with the study of mathematics, they will find in it the best remedy against the lusts of the flesh.'' : - Thomas M...") (current)
- 16:59, 31 March 2016 (diff | hist) . . (+927) . . N Math 141, Spring 2016, Assignment 9 (Created page with "__NOTOC__ ''Mathematical proofs, like diamonds, are hard as well as clear, and will be touched with nothing but strict reasoning.'' : - John Locke, ''Second Reply to the Bish...") (current)
- 16:52, 31 March 2016 (diff | hist) . . (+1,810) . . N Math 361, Spring 2016, Assignment 9 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # (Relative) algebraic closure (of $F$ in $E$). # Field of algebraic nu...") (current)
- 14:19, 28 March 2016 (diff | hist) . . (+321) . . Math 361, Spring 2016, Assignment 8
- 15:38, 25 March 2016 (diff | hist) . . (+582) . . Math 361, Spring 2016, Assignment 7 (current)
- 16:59, 24 March 2016 (diff | hist) . . (0) . . Math 361, Spring 2016, Assignment 8
- 16:58, 24 March 2016 (diff | hist) . . (+615) . . N Math 141, Spring 2016, Assignment 8 (Created page with "__NOTOC__ ''Do not imagine that mathematics is hard and crabbed and repulsive to commmon sense. It is merely the etherealization of common sense.'' : - Lord Kelvin ==Carefu...") (current)
- 16:51, 24 March 2016 (diff | hist) . . (+1,683) . . N Math 361, Spring 2016, Assignment 8 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # ($F$-)linear combination (of elements of a vector space $V$ with scal...")
- 14:52, 23 March 2016 (diff | hist) . . (+802) . . N Math 361, Spring 2016, Assignment 6 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Field extension. # Extension field. # Base field (or ''ground field''...") (current)
- 17:55, 10 March 2016 (diff | hist) . . (+425) . . N Math 141, Spring 2016, Assignment 7 (Created page with "__NOTOC__ ''Mathematicians are like Frenchmen: whatever you say to them they translate into their own language, and forthwith it is something entirely different.'' : - Goethe...") (current)
- 17:51, 10 March 2016 (diff | hist) . . (+1,889) . . N Math 361, Spring 2016, Assignment 7 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Finitely generated (field extension). # Vector space (over a field $F...")
- 13:43, 9 March 2016 (diff | hist) . . (+46) . . Math 141, Spring 2016
- 13:42, 9 March 2016 (diff | hist) . . (+48) . . Math 361, Spring 2016 (current)
- 21:55, 2 March 2016 (diff | hist) . . (+407) . . Math 141, Spring 2016
- 17:58, 25 February 2016 (diff | hist) . . (+931) . . N Math 141, Spring 2016, Assignment 5 (Created page with "__NOTOC__ ''I was at the mathematical school, where the master taught his pupils after a method scarce imaginable to us in Europe. The proposition and demonstration were fair...") (current)
- 17:41, 25 February 2016 (diff | hist) . . (+24) . . Math 361, Spring 2016, Assignment 5 (current)
- 17:33, 25 February 2016 (diff | hist) . . (+2,154) . . N Math 361, Spring 2016, Assignment 5 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Maximal ideal (in a commutative unital ring $R$). ==Carefully state...")
- 17:53, 18 February 2016 (diff | hist) . . (+1,541) . . N Math 361, Spring 2016, Assignment 4 (Created page with "__NOTOC__ ==Carefully define the following terms, then give one example and one non-example of each:== # Divisibility relation (i.e. $a|b$ where $a$ and $b$ are elements of a...") (current)
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