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<図書>
Galois theory

責任表示 David A. Cox
シリーズ Pure and applied mathematics
データ種別 図書
出版者 Hoboken, N.J. : Wiley
出版年 c2004
本文言語 英語
大きさ xx, 559 p. : ill. ; 25 cm
概要 Cox (mathematics, Amherst College) covers both classic applications of the theory and some of the more novel approaches. He begins with polynomials in the theory's foundations, cubic equations, advanc...ng to symmetric polynomials and the roots of polynomials. He proceeds explaining fields, including extension fields, normal and separable extensions, the Galois group, and Galois correspondence. Topics in applications include solvability by radicals, cyclotomic extensions, geometric constructions and finite fields. He then considers the work of Lagrange, Galois and Kronecker in concert, the process of computing Galois groups, solvable permutation groups, and the lemniscate, including the lemniscatic function, complex multiplication and Abel's theorem. He kindly provides information on abstract algebra as well as hints on selected exercises and a very well-organized bibliography. Annotation ©2004 Book News, Inc., Portland, OR (booknews.com) 続きを見る

所蔵情報


理系図3F 数理独自 023212004006727 COX,/10/5 2004

書誌詳細

一般注記 "Wiley-Interscience"
Includes bibliographical references (p. 543-545) and index
著者標目 *Cox, David A.
件 名 LCSH:Galois theory
分 類 LCC:QA214
DC22:512/.32
NDC9:411.73
書誌ID 1001403368
ISBN 0471434191
NCID BA69336396
巻冊次 ISBN:0471434191
登録日 2009.11.02
更新日 2009.11.02

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