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<図書>
Introduction to analytic number theory

責任表示 Tom M. Apostol
シリーズ Undergraduate texts in mathematics
データ種別 図書
出版者 New York ; Tokyo ; Berlin ; Heidelberg : Springer-Verlag
出版年 c1976
本文言語 英語
大きさ xii, 338 p. : ill. ; 25 cm
概要 This introductory textbook is designed to teach undergraduates the basic ideas and techniques of number theory, with special consideration to the principles of analytic number theory. The first five ...hapters treat elementary concepts such as divisibility, congruence and arithmetical functions. The topics in the next chapters include Dirichlet's theorem on primes in progressions, Gauss sums, quadratic residues, Dirichlet series, and Euler products with applications to the Riemann zeta function and Dirichlet L-functions. Also included is an introduction to partitions. Among the strong points of the book are its clarity of exposition and a collection of exercises at the end of each chapter. The first ten chapters, with the exception of one section, are accessible to anyone with knowledge of elementary calculus; the last four chapters require some knowledge of complex function theory including complex integration and residue calculus. 続きを見る
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所蔵情報


理系図3F 数理独自 068222480003938 APOS/20/3 1976

理系図 自動書庫 068582182019225 412.93/A 59/1 1976
: us 理系図3F 数理独自 023212009002332 APOS/20/3A 1976

書誌詳細

一般注記 "First volume of a two-volume textbook which evolved from a course (Mathematics 160) offered at the California Institute of Technology"--Pref
Continued by the author's Modular functions and Dirichlet series in number theory
Bibliography: p. 329-332
Includes indexes
著者標目 *Apostol, Tom M., 1923-
件 名 LCSH:Numbers, Theory of
LCSH:Arithmetic functions
LCSH:Numbers, Prime
分 類 LCC:QA241
DC:512/.73
NDC8:412.3
NDLC:MA61
書誌ID 1000029564
ISBN 0387901639
NCID BA00933310
巻冊次 : us ; ISBN:0387901639
: gw ; ISBN:3540901639
登録日 2009.09.10
更新日 2017.02.18

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