Lecture Notes - Amin Witno

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	LECTURE NOTES AND E-BOOKS FOR SELF-STUDY Programming Notes Trial Division To Twelve Digits Last updated: December 2011 JavaScript factorization program for integers up to one trillion, using trial division by prime numbers from 2 to 999,983. Testing Primes To Nine Quadrillion Last updated: January 2012 Primality testing algorithm based on Miller-Rabin test to the bases 2, 3, 5, and 7. Written in JavaScript, where integer upperbound is 53 bits. Textbooks Discrete Structures in Five Chapters 14.49US$, 198pp, July 2010 Strongly recommended for Discrete Structures Comp 104, Discrete Mathematics Math 151 and Eng 204, as well as a reference text for Set Theory Math 251 and Graph Theory Math 351. Printed by CreateSpace, the pdf softcopies of the five chapters remain available for free download. Theory of Numbers 14.49US$, 144pp, April 2008 Recommended text for both Math 313 Number Theory and Math 472 Computational Number Theory. Published by BookSurge. Lecture Notes These works are licensed under a Creative Commons License. From Groups to Galois 295kb, 54pp, May 2012 Required notes for the Abstract Algebra series of Math 342–442, containing some extra sections on a sketchy introduction to Galois Theory for independent studies. The Primitive Root Theorem 94kb, 9pp, April 2012 Supplementary lecture notes for Number Theory (Math 313) discussing the details of the proof of the primitive root theorem. Computational Number Theory 229kb, 25pp, January 2011 Required notes for Math 472. The contents are structured in a way that also accomodates students who have not taken the Number Theory course of Math 313. Discrete Structures 167kb, 24pp, January 2011 The revision notes for Comp 104—obsolete but are still relevant for students who are currently taking the Discrete Structures or Discrete Mathematics course. Logic and Set Theory 204kb, 24pp, December 2010 Required notes for Math 251 course. Number Theory 227kb, 25pp, December 2006 Outdated lecture notes for Math 313. No longer used. Graph Theory 183kb, 16pp, May 2006 Revision notes from Math 351. Incomplete.
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