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Spr2006: MAS4203 3173 Intro.Number.Theory MWF5 LIT223

Number Theory 1 We may use more advanced computing devices...

May the Force be with you! Since time-travel into the Future is now possible, you may wish to visit the Spring 2007 webpage for the Time-Travel version of this course.

NT1 will have a continuation course, with emphasis on Mathematical Cryptography: Number Theory 2, in Fall 2006.

On my 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.

Our main textbook is Fundamentals of Number Theory.
Author: William J. Leveque ISBN: 0-486-68906-9
Year: 1996 Publisher: Dover
Other good references are Strayer's text and Silverman's text. A good (but challenging) text is Niven, Zuckerman, Montgomery.

Aut2006: MAT4930 5662 Number Theory2 (Special Topics) MWF2 LIT239

Number Theory & Cryptography We may use more advanced computing devices...

Welcome! This is a continuation of my Number Theory 1 of Spring2006; it should be accessible to anyone with an introductory course or who has read the first few chapters of a beginning text (E.g. Elementary Number Theory by James Strayer; or A Friendly Introduction Number Theory by Joseph Silverman; or Elementary Number Theory by David Burton; or 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 ISBN: 0-521-85154-8
Year: 2005 Publisher: Cambridge University Press
Photo of text cover
Here are links to this book at The Publisher's site and at
The author has made freely available a 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.

Here are syllabi and exams and notes from my three earlier Number Theory courses:
Number Theory 1 and 2, from Spring 2000 and Spring 2001.
Number Theory 1, Spring 2006.

Also, Time Travel permits the viewing of the Autumn 2007 NT Special Topics course.

Web Resources on The Web

Approx. Syllabus

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____End: Number Theory