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Algebra. Vol. 2, Fields with structure, algebras, and advanced topics

著者: Falko Lorenz; Silvio Levy
出版社: New York : Springer, ©2008.
シリーズ: Universitext.
エディション/フォーマット:   電子書籍 : Document : Englishすべてのエディションとフォーマットを見る
データベース:WorldCat
概要:
The present textbook is a lively, problem-oriented and carefully written introduction to classical modern algebra. The author leads the reader through interesting subject matter, while assuming only the background provided by a first course in linear algebra. The first volume focuses on field extensions. Galois theory and its applications are treated more thoroughly than in most texts. It also covers basic  続きを読む
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ジャンル/形式: Electronic books
Problems and exercises
Textbooks
Problems, exercises, etc
その他のフォーマット: Print version:
Lorenz, Falko.
Algebra. Vol. 2, Fields with structure, algebras, and advanced topics.
New York : Springer, ©2008
(DLC)cis00003089
資料の種類: Document, インターネット資料
ドキュメントの種類 インターネット資料, 電子ファイル
すべての著者/寄与者: Falko Lorenz; Silvio Levy
ISBN: 9780387724881 0387724885
OCLC No.: 308295908
物理形態: 1 online resource (1 volume) : illustrations.
コンテンツ: Foreword --
Ordered fields and real fields --
Hilbert's seventeenth problem and the real nullstellensatz --
Orders and quadratic forms --
Absolute values on fields --
Residue class degree and ramification index --
Local fields --
Witt vectors --
The tsen rank of a field --
Fundamentals of modules --
Wedderburn theory --
Crossed products --
The brauer group of a local field --
Local class field theory --
Semisimple representations of finite groups --
The schur group of a field --
Appendix: problems and remarks --
Index
シリーズタイトル: Universitext.
その他のタイトル: Einführung in die Algebra.
Fields with structure, algebras, and advanced topics
責任者: Falko Lorenz ; with the collaboration of the translator, Silvio Levy.

概要:

This is Volume II of a two-volume introductory text in classical algebra. The text moves methodically with numerous examples and details so that readers with some basic knowledge of algebra can read  続きを読む

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From the reviews: "The approach taken by the author is very straightforward, both in its presentation of proofs and its examples. Unlike some books, it is very possible to teach yourself the subject 続きを読む

 
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