Classical Theory of Algebraic Numbers by Paulo RibenboimRequirements: .PDF reader, 43 MBOverview: Gauss created the theory of binary quadratic forms in “Disquisitiones Arithmeticae” and Kummer invented ideals and the theory of cyclotomic fields in his attempt to prove Fermat’s Last Theorem. These were the starting points for the theory of algebraic numbers, developed in the […]
Algebraic Number Theory by Frazer Jarvis Requirements: .ePUB reader, 7 MBOverview: This undergraduate textbook provides an approachable and thorough introduction to the topic of algebraic number theory, taking the reader from unique factorisation in the integers through to the modern-day number field sieve. The first few chapters consider the importance of arithmetic in fields larger […]
Algebraic Number Theory and Fermat’s Last Theorem, Fourth Edition by Ian Stewart, David TallRequirements: .PDF reader, 2.3 MbOverview: Updated to reflect current research, Algebraic Number Theory and Fermat’s Last Theorem, Fourth Edition introduces fundamental ideas of algebraic numbers and explores one of the most intriguing stories in the history of mathematics―the quest for a proof […]
Classical Theory of Algebraic Numbers, 2nd Edition by Paulo RibenboimRequirements: .PDF reader, 42,4 MBOverview: The exposition of the classical theory of algebraic numbers is clear and thorough, and there is a large number of exercises as well as worked out numerical examples. A careful study of this book will provide a solid background to the […]
A Course in Algebraic Number Theory (Dover Books on Mathematics) by Robert B. AshRequirements: PDF Reader, 1 mbOverview: This graduate-level text provides coverage for a one-semester course in algebraic number theory. It explores the general theory of factorization of ideals in Dedekind domains as well as the number field case. Detailed calculations illustrate the use […]