Classical Theory of Algebraic Numbers
by Paulo Ribenboim;P Ribenboim (9780387950709)

Classical Theory of Algebraic Numbers
 
Paulo Ribenboim;P Ribenboim
Release Date: 01 January 2001
Format: Hardback
Pages: 682
Category: Number Theory
ISBN: 9780387950709
ISBN-10: 0387950702



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 KummerAs theory of cyclotomic fields, and includes Bernoulli numbers and the proof of FermatAs Last Theorem for regular prime exponents. Finally, in part four, the emphasis is on analytical methods and it includes DirichletAs 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.

AUD $165.95

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