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<図書>
Primes of the form x[2] + ny[2] : Fermat, class field theory, and complex multiplication

責任表示 David A. Cox
シリーズ Pure and applied mathematics
データ種別 図書
2nd ed
出版者 Hoboken, N.J. : Wiley
出版年 c2013
本文言語 英語
大きさ xvi, 356 p. ; 24 cm
概要 Written in a unique and accessible style for readers of varied mathematical backgrounds, the Second Edition of Primes of the Form x2 + ny2 details the history behind how Pierre de Fermat's work ultima...ely gave birth to quadratic reciprocity and the genus theory of quadratic forms. The book also illustrates how results of Euler and Gauss can be fully understood only in the context of class field theory, and in addition, explores a selection of the magnificent formulas of complex multiplication. Primes of the Form x2 + ny2, Second Edition focuses on addressing the question of when a prime p is of the form x2 + ny2, which serves as the basis for further discussion of various mathematical topics. This updated edition has several new notable features, including: A well-motivated introduction to the classical formulation of class field theory, Illustrations of explicit numerical examples to demonstrate the power of basic theorems in various situations, An elementary treatment of quadratic forms and genus theory, Simultaneous treatment of elementary and advanced aspects of number theory, New coverage of the Shimura reciprocity law and a selection of recent work in an updated bibliography, Primes of the Form x2 + ny2, Second Edition is both a useful reference for number theory theorists and an excellent text for undergraduate and graduate-level courses in number and Galois theory. Book jacket.続きを見る
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所蔵情報


理系図3F 数理独自 033212013002238 COX,/10/1a 2013

書誌詳細

別書名 異なりアクセスタイトル:Primes of the form x2 + ny2 : Fermat, class field theory, and complex multiplication
一般注記 [2] is superscript
Includes bibliographical references (p. 335-346) and index
著者標目 *Cox, David A.
件 名 LCSH:Numbers, Prime
LCSH:Mathematics
分 類 LCC:QA246
DC23:512.7/23
書誌ID 1001508635
ISBN 9781118390184
NCID BB12612435
巻冊次 ISBN:9781118390184
登録日 2013.06.19
更新日 2017.02.18

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