Advanced Number Theory with Applications pdf
Advanced Number Theory with Applications pdf
Advanced Number Theory with Applications by Richard A. Mollin
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Author: Richard A. Mollin
Number of Pages: 480 pages
Published Date: 08 Sep 2009
Publisher: Taylor & Francis Ltd
Publication Country: Boca Raton, FL, United States
Language: English
ISBN: 9781420083286
File size: 43 Mb
Download Link: Advanced Number Theory with Applications
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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.
Read online Advanced Number Theory with Applications Buy and read online Advanced Number Theory with Applications Download Advanced Number Theory with Applications ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent Download to iPad/iPhone/iOS, B&N nook Advanced Number Theory with Applications ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent
Advanced Number Theory with Applications by Richard A. Mollin
Author: Richard A. Mollin
Number of Pages: 480 pages
Published Date: 08 Sep 2009
Publisher: Taylor & Francis Ltd
Publication Country: Boca Raton, FL, United States
Language: English
ISBN: 9781420083286
File size: 43 Mb
Download Link: Advanced Number Theory with Applications
---------------------------------------------------------------
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.
Read online Advanced Number Theory with Applications Buy and read online Advanced Number Theory with Applications Download Advanced Number Theory with Applications ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent Download to iPad/iPhone/iOS, B&N nook Advanced Number Theory with Applications ebook, pdf, djvu, epub, mobi, fb2, zip, rar, torrent