Classical Theory of Algebraic Numbers (Hardcover, 2nd ed. 2001)

This book has a clear and thorough exposition of the classical theory of algebraic numbers, and contains a large number of exercises as well as worked out numerical examples. The introduction is a recapitulation of results about principal ideal domains, unique factorization domains and commutative fields. Part one is devoted to residue classes and quadratic residues. In part two one finds the study of algebraic integers, ideals, units, class numbers, the theory of decomposition, inertia and ramification of ideals. part three is devoted to Kummer¿s theory of cyclotomic fields, and includes Bernoulli numbers and the proof of Fermat¿s Last Theorem for regular prime exponents. Finally, in part four, the emphasis is on analytical methods and it includes Dirichlet¿s Theorem on primes in arithmetic progressions, the theorem of Chebotarev and class number formulas. A careful study of this book will provide a solid background to the learning of more recent topics, as suggested at the end of the book.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Universitext
Release date:	March 2001
First published:	2001
Authors:	Paulo Ribenboim
Dimensions:	234 x 156 x 38mm (L x W x T)
Format:	Hardcover
Pages:	682
Edition:	2nd ed. 2001
ISBN-13:	978-0-387-95070-9
Categories:	Books > Science & Mathematics > Mathematics > Algebra > General Books > Science & Mathematics > Mathematics > Number theory > General
LSN:	0-387-95070-2
Barcode:	9780387950709

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