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

作者: Falko Lorenz; Silvio Levy
出版商: New York : Springer, ©2008.
叢書: Universitext.
版本/格式:   電子書 : 文獻 : 英語所有版本和格式的總覽
資料庫:WorldCat
提要:
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  再讀一些...
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類型/形式: Electronic books
Problems and exercises
Textbooks
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其他的實體格式: Print version:
Lorenz, Falko.
Algebra. Vol. 2, Fields with structure, algebras, and advanced topics.
New York : Springer, ©2008
(DLC)cis00003089
資料類型: 文獻, 網際網路資源
文件類型 網際網路資源, 電腦檔案
所有的作者/貢獻者: Falko Lorenz; Silvio Levy
ISBN: 9780387724881 0387724885
OCLC系統控制編碼: 308295908
描述: 1 online resource (1 volume) : illustrations.
内容: 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
叢書名: Universitext.
其他題名: Einführung in die Algebra.
Fields with structure, algebras, and advanced topics
責任: Falko Lorenz ; with the collaboration of the translator, Silvio Levy.

摘要:

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  再讀一些...

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