Advanced Number Theory with Applications
by Richard A Mollin (9781420083286)

Advanced Number Theory with Applications
Richard A Mollin
Release Date: 26 August 2009
Format: Hardback
Pages: 440
Category: Number Theory
Publisher: Taylor and Francis
ISBN: 9781420083286
ISBN-10: 1420083287

Exploring one of the most dynamic areas of mathematics, Advanced Number Theory with Applications covers a wide range of algebraic, analytic, combinatorial, cryptographic, and geometric aspects of number theory. Written by a recognized leader in algebra and number theory, the book includes a page reference for every citing in the bibliography and more than 1,500 entries in the index so that students can easily cross-reference and find the appropriate data.

With numerous examples throughout, the text begins with coverage of algebraic number theory, binary quadratic forms, Diophantine approximation, arithmetic functions, p-adic analysis, Dirichlet characters, density, and primes in arithmetic progression. It then applies these tools to Diophantine equations, before developing elliptic curves and modular forms. The text also presents an overview of Fermat's Last Theorem (FLT) and numerous consequences of the ABC conjecture, including Thue-Siegel-Roth theorem, Hall's conjecture, the Erdos-Mollin--Walsh conjecture, and the Granville-Langevin Conjecture. In the appendix, the author reviews sieve methods, such as Eratothesenes', Selberg's, Linnik's, and Bombieri's sieves. He also discusses recent results on gaps between primes and the use of sieves in factoring.

By focusing on salient techniques in number theory, this textbook provides the most up-to-date and comprehensive material for a second course in this field. It prepares students for future study at the graduate level.

AUD $210.00

 This title is not held in stock & is ordered from suppliers, subject to availability.

View other Richard A Mollin titles like "Advanced Number Theory with Applications"

Write a customer review of Advanced Number Theory with Applications.

If you like this title please tell others:

tell others

post to your Facebook wall post on Twitter post on Digg recommend to Stumbleupon bookmark on Delicious RSS feed send to a friend

Australian BookShop
Australian Bookshop. Established 2003
Shopping Cart Customer Support

International Online Store
of Inspiration
we ship everywhere
Australia Post
Australia Wide