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Algebra

作者: Falko Lorenz; Silvio Levy
出版商: New York : Springer, 2006-2008.
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
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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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類型/形式: Textbooks
Manuels d'enseignement supérieur
其他的實體格式: Print version:
Lorenz, Falko.
Algebra.
New York : Springer, 2006-2008
(DLC) 2005932557
(OCoLC)63127532
資料類型: 文獻, 網際網路資源
文件類型: 網路資源, 電腦資料
所有的作者/貢獻者: Falko Lorenz; Silvio Levy
ISBN: 9780387316086 0387316086 9780387724881 0387724885
OCLC系統控制編碼: 209914197
注意: Textbook for graduates.
描述: 1 online resource (2 v.(vi, 293; ix, 336) : ill.
内容: Vol. I. Fields and Galois theory / with the collaboration of the translator, Silvio Levy --
Constructibility with Ruler and Compass --
Algebraic Extensions --
Simple Extensions --
Fundamentals of Divisibility --
Prime Factorization in Polynomial Rings. Gauss's Theorem --
Polynomial Splitting Fields --
Separable Extensions --
Galois Extensions --
Finite Fields, Cyclic Groups and Roots of Unity --
Group Actions --
Applications of Galois Theory to Cyclotomic Fields --
Further Steps into Galois Theory --
Norm and Trace --
Binomial Equations --
Solvability of Equations --
Integral Ring Extensions --
The Transcendence of [pi] --
Transcendental Field Extensions --
Hilbert's Nullstellensatz --
Appendix: Problems and Remark --
Index of Notation. Vol. 2. Fields with structure, algebras, and advanced topics / with the collaboration of the translator, Silvio Levy --
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.
叢書名: Universitext.
其他題名: Einführung in die Algebra.
責任: Falko Lorenz.
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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 再讀一些...

 
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