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＜電子ブック＞
A Course in Enumeration / by Martin Aigner
(Graduate Texts in Mathematics. ISSN:21975612 ; 238)

版	1st ed. 2007.
出版者	(Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer)
出版年	2007
本文言語	英語
大きさ	X, 565 p. 55 illus : online resource
著者標目	*Aigner, Martin author SpringerLink (Online service)
件　名	LCSH:Algebra LCSH:Discrete mathematics LCSH:Mathematical physics LCSH:Computer science -- Mathematics  全ての件名で検索 FREE:Algebra FREE:Discrete Mathematics FREE:Theoretical, Mathematical and Computational Physics FREE:Discrete Mathematics in Computer Science
一般注記	Basics -- Fundamental Coefficients -- Formal Series and Infinite Matrices -- Methods -- Generating Functions -- Hypergeometric Summation -- Sieve Methods -- Enumeration of Patterns -- Topics -- The Catalan Connection -- Symmetric Functions -- Counting Polynomials -- Models from Statistical Physics Combinatorial enumeration is a readily accessible subject full of easily stated, but sometimes tantalizingly difficult problems. This book leads the reader in a leisurely way from the basic notions to a variety of topics, ranging from algebra to statistical physics. Its aim is to introduce the student to a fascinating field, and to be a source of information for the professional mathematician who wants to learn more about the subject. The book is organized in three parts: Basics, Methods, and Topics. There are 666 exercises, and as a special feature every chapter ends with a highlight, discussing a particularly beautiful or famous result HTTP:URL=https://doi.org/10.1007/978-3-540-39035-0

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