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<図書>
Elements of algebra : geometry, numbers, equations

責任表示 John Stillwell
シリーズ Undergraduate texts in mathematics
データ種別 図書
出版者 New York ; Berlin : Springer-Verlag
出版年 c1994
本文言語 英語
大きさ xi, 181 p. : ill. ; 24 cm
概要 This book is a concise, self-contained introduction to abstract algebra which stresses its unifying role in geometry and number theory. There is a strong emphasis on historical motivation - both to tr...ce abstract concepts to their concrete roots, but also to show the power of new ideas to solve old problems. This approach shows algebra as an integral part of mathematics and makes this text more informative to both beginners and experts than others. Classical results of geometry and number theory (such as straightedge-and-compass construction and its relation to Fermat primes) are used to motivate and illustrate algebraic techniques, and classical algebra itself (solutions of cubic and quartic equations) is used to motivate the problem of solvability by radicals and its solution via Galois theory. Modern methods are used whenever they are clearer or more efficient, but technical machinery is introduced only when needed. The lively style and clear expositions make this book a pleasure to read and to learn from. 続きを見る

所蔵情報


理系図3F 数理独自 068222194004061 STIL/20/1 1994

理系図 自動書庫 068252194006828 101/STI 1994

書誌詳細

一般注記 Includes bibliographical references (p. [162]-169) and index
著者標目 *Stillwell, John
件 名 LCSH:Algebra
分 類 LCC:QA155
DC20:512/.02
NDLC:MA61
書誌ID 1000042154
ISBN 0387942904
NCID BA23355086
巻冊次 : us ; ISBN:0387942904
: gw ; ISBN:3540942904 ; PRICE:DM69.90
登録日 2009.09.10
更新日 2009.09.17

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