JK Contradance calling
L0 Contradance program
L1 Contradance program
L2 Contradance program
L3 Contradance program
L4 Contradance program
L5 Contradance program
Michael Dyck's Contradance Index
NT & Math Crypto 2016g
Complex Vars 2017g
Spr2006: MAS4203 3173 Intro.Number.Theory MWF5 LIT223
Number Theory 1
May the Force be with you!
Since time-travel into the Future is now possible, you may wish to visit
the Spring 2007 webpage
of this course.
NT1 will have a continuation course, with emphasis on Mathematical Cryptography:
Number Theory 2
in Fall 2006.
- Here is the thrilling
available for your thinking and writing pleasure.
- The astonishing
has been instantiated. Accept no substitutes!
Get your copy today!
- The fabulous
- The wonderful
came into being.
- The gorgeous
persists. Get your solns posted before the O*t*h*e*r*s beat you to it!
(Sumeet already has TWO solns posted.)
- The fantastic
Extra A-Home (pdf)
is available, for those who want to work on extra stuff.
Teaching Page you will find
a wealth of useful information for students in all of my classes.
Our syllabus (text)
lists approximately what we will cover.
Other good references are Strayer's
text and Silverman's text.
A good (but challenging) text is
Niven, Zuckerman, Montgomery.
Our main textbook
Fundamentals of Number Theory
|Author: ||William J. Leveque
Aut2006: MAT4930 5662 Number Theory2 (Special Topics) MWF2 LIT239
Number Theory & Cryptography
This is a continuation of my
Number Theory 1 of
it should be accessible to anyone with an introductory course or who has
read the first few chapters of a beginning text
Elementary Number Theory by James Strayer;
A Friendly Introduction Number Theory by Joseph Silverman;
Elementary Number Theory by David Burton;
Fundamentals of Number Theory by William Leveque;
or the text by Vanden Eynden).
Our textbook is
A Computational Introduction to Number Theory and Algebra
|Author: ||Victor Shoup
||Publisher: ||Cambridge University Press
Here are links to
this book at The Publisher's site
The author has made freely available
PDF copy of his text
for those who wish to print a copy.
Among other nice features, this has a description+proof of the
Polynomial-time Deterministic Algorithm
(AKS primality test)
for testing whether a positive integer is prime.
- A review of modular arithmetic.
- The Euclidean Algorithm (the
Lightning Bolt alg).
- Euler phi function, Fermat's Little Thm. RSA Cryptosystem.
- The Chinese Remainder Thm and a brief introduction to Rings and Ring-isomorphism.
- Distribution of Primes: Chebyshev thm, Bertrand's postulate, PNT (Prime Number Thm).
- Miller-Rabin algorithm. Also, polytime testing whether N is a prime-power.
- AKS polytime primality-test algorithm.
JK Home page