Introduction to Cyclotomic Fields (Hardcover, 2nd ed. 1997)

Introduction to Cyclotomic Fields is a carefully written exposition of a central area of number theory that can be used as a second course in algebraic number theory. Starting at an elementary level, the volume covers p-adic L-functions, class numbers, cyclotomic units, Fermat's Last Theorem, and Iwasawa's theory of Z_p-extensions, leading the reader to an understanding of modern research literature. Many exercises are included. The second edition includes a new chapter on the work of Thaine, Kolyvagin, and Rubin, including a proof of the Main Conjecture. There is also a chapter giving other recent developments, including primality testing via Jacobi sums and Sinnott's proof of the vanishing of Iwasawa's f-invariant.

General

Imprint:	Springer-Verlag New York
Country of origin:	United States
Series:	Graduate Texts in Mathematics, 83
Release date:	December 1996
First published:	1997
Authors:	Lawrence C. Washington
Dimensions:	235 x 155 x 37mm (L x W x T)
Format:	Hardcover
Pages:	490
Edition:	2nd ed. 1997
ISBN-13:	978-0-387-94762-4
Categories:	Books > Science & Mathematics > Mathematics > Number theory > General
LSN:	0-387-94762-0
Barcode:	9780387947624

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