Free Book Online
Book Local Fields and Their Extensions: A Constructive Approach (Translations of Mathematical Monographs Reprint)

Pdf

Local Fields and Their Extensions: A Constructive Approach (Translations of Mathematical Monographs Reprint)

4.2 (2612)

Log in to rate this item

    Available in PDF - DJVU Format | Local Fields and Their Extensions: A Constructive Approach (Translations of Mathematical Monographs Reprint).pdf | Language: ENGLISH
    Fesenko (Author), Vostokov (Author)

    Book details


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 $K$-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 $p$-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 $K$-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. The book is designed for graduate students and research mathematicians interested in local number theory and its applications in arithmetic algebraic geometry.
2.4 (3440)
  • Pdf

*An electronic version of a printed book that can be read on a computer or handheld device designed specifically for this purpose.

Formats for this Ebook

PDF
Required Software Any PDF Reader, Apple Preview
Supported Devices Windows PC/PocketPC, Mac OS, Linux OS, Apple iPhone/iPod Touch.
# of Devices Unlimited
Flowing Text / Pages Pages
Printable? Yes

Book details

  • PDF | 345 pages
  • Fesenko (Author), Vostokov (Author)
  • American Mathematical Society: 2nd Revised edition edition (30 July 2002)
  • English
  • 4
  • Science Nature

Read online or download a free book: Local Fields and Their Extensions: A Constructive Approach (Translations of Mathematical Monographs Reprint)

 

Review Text


Name:
Email*:
The message text*: