## math_class: Number Theory 101 (Introduction)## How is this going to go?My name is Patrick (patrickwonders on LiveJournal). I've tutored many folks one-on-one and I've written a few articles on PlanetMath. This, however, is my first foray into lecturing (on math) to a group of people that I don't already know pretty well. So, make it to bring to my attention anything that I pass over too lightly or beat into the ground. I'm going to shoot for a new lecture every Thursday evening
(GMT). Some of the lectures will be longer than others depending
upon the depth of the material being discussed. I will give
problems for people to practice with when appropriate. I'll post
the solutions to the problems on Monday evening (GMT). On
LiveJournal, I will keep the body of the lessons and all problem
solutions behind ## What are we going to learn?I'm going to work mostly out of two books called - Burton, David M.
**Elementary Number Theory: Fifth Edition**. McGraw-Hill Higher Education, Boston, 2002. ISBN 0-072-32569-0. - Jones, Gareth A. and J. Mary Jones.
**Elementary Number Theory**. Springer-Verlag, London, 1998. ISBN 3-540-76197-7. - Singh, Simon.
**Fermat's Enigma: The Epic Quest to Solve the World's Greatest Mathematical Problem**. Walker and Company, New York, 1997. ISBN 0-802-71331-9.
You will not need any particular textbook for this class. I'm more than willing to take requests. But, at the very least, I hope to cover divisibility in the integers, the Fundamental Theorem of Arithmetic, Fermat's Little Theorem, RSA Encryption, a survey of Prime Factorization methods, an intro to the Discrete Logarithm problem, continued fractions, partitions, the Riemann Zeta Function, and some information about Fermat's Last Theorem. I plan on liberally sprinkling the lectures with mentions of unsolved problems in Number Theory. |