现货Introduction to Cyclotomic Fields (1997. Softcover Reprint of the Original 2nd 1997)[9781461273462]

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作者Washington, Lawrence C

出版社Springer

ISBN9781461273462

出版时间2012-09

装帧平装

纸张其他

页数490页

正文语种英语

上书时间2023-08-14

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商品描述: 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.

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