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[ 洋図書 ] An illustrated theory of numbers /

Martin H. Weissman. -- American Mathematical Society, -- c2017. --

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中央	2F	一般洋図書	DF/412.0/W43/I	7109611792		配架図 Digital BookShelf
2018/03/06	可能	利用可			0

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資料詳細

ISBN	1470434938 (hardcover)
ISBN13桁	9781470434939 (hardcover)
テキストの言語	英語
分類：NDC10版	412
個人著者標目	Weissman, Martin H.,
生没年等	1976-
本タイトル	An illustrated theory of numbers /
著者名	Martin H. Weissman.
出版地・頒布地	Providence, Rhode Island :
出版者・頒布者名	American Mathematical Society,
出版年・頒布年	c2017.
数量	xv, 323 pages ;
大きさ	29 cm.
書誌注記	Includes bibliographical references and index.
内容注記	Seeing arithmetic -- Foundations -- The Euclidean algorithm -- Prime factorization -- Rational and constructible numbers -- Gaussian and Eisenstein integers -- Modular arithmetic -- The modular worlds -- Modular dynamics -- Assembling the modular worlds -- Quadratic residues -- Quadratic forms -- The topograph -- Definite forms -- Indefinite forms.
要約、抄録、注釈等	"An Illustrated Theory of Numbers gives a comprehensive introduction to number theory, with complete proofs, worked examples, and exercises. Its exposition reflects the most recent scholarship in mathematics and its history. Almost 500 sharp illustrations accompany elegant proofs, from prime decomposition through quadratic reciprocity. Geometric and dynamical arguments provide new insights, and allow for a rigorous approach with less algebraic manipulation. The final chapters contain an extended treatment of binary quadratic forms, using Conway's topograph to solve quadratic Diophantine equations (e.g., Pell's equation) and to study reduction and the finiteness of class numbers. Data visualizations introduce the reader to open questions and cutting-edge results in analytic number theory such as the Riemann hypothesis, boundedness of prime gaps, and the class number 1 problem. Accompanying each chapter, historical notes curate primary sources and secondary scholarship to trace the development of number theory within and outside the Western tradition. Requiring only high school algebra and geometry, this text is recommended for a first course in elementary number theory. It is also suitable for mathematicians seeking a fresh perspective on an ancient subject."--Back cover.
団体名(副出標目)	American Mathematical Society.
一般件名	Number theory. Number theory.
資料情報1	『An illustrated theory of numbers /』　Martin H. Weissman.　American Mathematical Society,　c2017. （所蔵館：中央　請求記号：DF/412.0/W43/I　資料コード：7109611792）
URL	https://catalog.library.metro.tokyo.lg.jp/winj/opac/switch-detail.do?lang=ja&bibid=1352028355

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