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• 14:37, 12 May 2022 (diff | hist) . . (+260)‎ . . Math 361, Spring 2022 ‎ (current)
• 14:29, 12 May 2022 (diff | hist) . . (+511)‎ . . Math 361, Spring 2022, Assignment 12 ‎
• 14:17, 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...")
• 13:36, 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...")
• 22:24, 3 May 2022 (diff | hist) . . (+22)‎ . . Math 361, Spring 2022 ‎
• 11:32, 1 May 2022 (diff | hist) . . (-1)‎ . . Math 361, Spring 2022, Assignment 13 ‎
• 17:31, 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....")
• 20:01, 16 April 2022 (diff | hist) . . (-2)‎ . . Math 361, Spring 2022, Assignment 11 ‎
• 20:00, 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...")
• 12:13, 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\...")
• 11:43, 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:==...")
• 23:44, 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...")
• 19:29, 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...")
• 19:28, 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...")
• 17:56, 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. "...")
• 21:39, 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...")
• 14:30, 12 February 2022 (diff | hist) . . (+1)‎ . . Math 361, Spring 2022, Assignment 3 ‎
• 14:26, 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....")
• 16:24, 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...")
• 03:49, 29 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...")
• 01:33, 24 January 2022 (diff | hist) . . (+78)‎ . . Main Page ‎ (current)
• 01:31, 24 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...")
• 23:00, 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...")
• 18:15, 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...")
• 15:15, 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:...")
• 22:06, 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...")
• 21:35, 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...")
• 20:48, 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...")
• 21:04, 12 November 2021 (diff | hist) . . (+2,208)‎ . . Math 360, Fall 2021, Assignment 9 ‎ (current)
• 20:04, 12 November 2021 (diff | hist) . . (-345)‎ . . Math 360, Fall 2021, Assignment 8 ‎ (current)
• 19:37, 12 November 2021 (diff | hist) . . (+1,336)‎ . . Math 360, Fall 2021, Assignment 7 ‎ (current)
• 19:11, 12 November 2021 (diff | hist) . . (+1,043)‎ . . Math 360, Fall 2021, Assignment 6 ‎ (current)
• 02:21, 5 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...")
• 18:26, 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...")
• 20:46, 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...")
• 16:59, 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:=...")
• 01:15, 8 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...")
• 20:52, 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...")
• 13:07, 1 October 2021 (diff | hist) . . (+40)‎ . . Math 360, Fall 2021 ‎ (current)
• 02:28, 24 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,...")
• 20:56, 17 September 2021 (diff | hist) . . (+1,135)‎ . . Math 360, Fall 2021 ‎
• 20:35, 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...")
• 13:54, 10 September 2021 (diff | hist) . . (+2)‎ . . Math 360, Fall 2021, Assignment 1 ‎
• 13:40, 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...")
• 21:33, 6 September 2021 (diff | hist) . . (+73)‎ . . Main Page ‎
• 21:31, 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...")
• 22:22, 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)
• 21:59, 13 May 2021 (diff | hist) . . (+20)‎ . . Math 361, Spring 2021 ‎ (current)
• 21:54, 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)
• 14:07, 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)

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