Local Fields and Their Extensions Second Edition is popular PDF and ePub book, written by Ivan B. Fesenko in 2002-07-17, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Local Fields and Their Extensions Second Edition can be Read Online from any device for your convenience.
Local Fields and Their Extensions Second Edition Book PDF Summary
This book offers a modern exposition of the arithmetical properties of local fields using explicit and constructive tools and methods. It has been ten years since the publication of the first edition, and, according to Mathematical Reviews, 1,000 papers on local fields have been published during that period. This edition incorporates improvements to the first edition, with 60 additional pages reflecting several aspects of the developments in local number theory. The volume consists of four parts: elementary properties of local fields, class field theory for various types of local fields and generalizations, explicit formulas for the Hilbert pairing, and Milnor -groups of fields and of local fields. The first three parts essentially simplify, revise, and update the first edition. The book includes the following recent topics: Fontaine-Wintenberger theory of arithmetically profinite extensions and fields of norms, explicit noncohomological approach to the reciprocity map with a review of all other approaches to local class field theory, Fesenko's -class field theory for local fields with perfect residue field, simplified updated presentation of Vostokov's explicit formulas for the Hilbert norm residue symbol, and Milnor -groups of local fields. Numerous exercises introduce the reader to other important recent results in local number theory, and an extensive bibliography provides a guide to related areas.
Detail Book of Local Fields and Their Extensions Second Edition PDF
- Author : Ivan B. Fesenko
- Release : 17 July 2002
- Publisher : American Mathematical Soc.
- ISBN : 9780821832592
- Genre : Mathematics
- Total Page : 362 pages
- Language : English
- PDF File Size : 11,8 Mb
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