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A Concrete Introduction to Higher Algebra 3rd ed.(Undergraduate Texts in Mathematics) H xv, 555 p. 08

Childs, Lindsay N.  著

在庫状況 海外在庫有り  お届け予定日 1ヶ月  数量 冊 
価格 特価  \15,566(税込)         

発行年月 2008年11月
出版社/提供元
出版国 アメリカ合衆国
言語 英語
媒体 冊子
装丁 hardcover
ページ数/巻数 XIV, 604 p.
ジャンル 洋書/理工学/数学/代数学
ISBN 9780387745275
商品コード 0200784923
本の性格 テキスト
新刊案内掲載月 2007年11月
商品URL
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https://kw.maruzen.co.jp/ims/itemDetail.html?itmCd=0200784923

内容

This book is an informal and readable introduction to higher algebra at the post-calculus level. The concepts of ring and field are introduced through study of the familiar examples of the integers and polynomials. A strong emphasis on congruence classes leads in a natural way to finite groups and finite fields. The new examples and theory are built in a well-motivated fashion and made relevant by many applications--to cryptography, coding, integration, history of mathematics, and especially to elementary and computational number theory. The later chapters include expositions of Rabiin's probabilistic primality test, quadratic reciprocity, and the classification of finite fields. Over 900 exercises, ranging from routine examples to extensions of theory, are found throughout the book; hints and answers for many of them are included in an appendix.

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