Algebraic Number Theory

ISBN-13: 9781439845981 / Angielski / Twarda / 2011 / 442 str.

Richard A. Mollin

Opis

This second edition features coverage of L-functions and function fields to provide a more modern view of the field. It also introduces class groups for both binary and quadratic forms, making it much easier to prove the finiteness of the class number of both groups via an isomorphism.

Spis treści

Integral Domains, Ideals, and Unique Factorization. Field Extensions. Class Groups. Applications: Equations and Sieves. Ideal Decomposition in Number Fields. Reciprocity Laws. Appendices. Bibliography. Solutions to Odd-Numbered Exercises. Index.

O autorze

Richard A. Mollin is a professor in the Department of Mathematics and Statistics at the University of Calgary. In the past twenty-five years, Dr. Mollin has founded the Canadian Number Theory Association and has been awarded six Killam Resident Fellowships. He has written more than 200 publications, including Advanced Number Theory with Applications (CRC Press, August 2009), Fundamental Number Theory with Applications, Second Edition (CRC Press, February 2008), An Introduction to Cryptography, Second Edition (CRC Press, September 2006), Codes: The Guide to Secrecy from Ancient to Modern Times (CRC Press, May 2005), and RSA and Public-Key Cryptography (CRC Press, November 2002).