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A Course in Enumeration
Buch von Martin Aigner
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung

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 of combinatorial enumeration to a variety of topics, ranging from algebra to statistical physics. The aim of the author is to introduce readers to a fascinating field, and to offer a sophisticated 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 section, discussing in detail a particularly beautiful or famous result.

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2007
Fachbereich: Grundlagen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 576
Reihe: Graduate Texts in Mathematics
Inhalt: x
566 S.
ISBN-13: 9783540390329
ISBN-10: 3540390324
Sprache: Englisch
Herstellernummer: 11846307
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Aigner, Martin
Auflage: 2007
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Graduate Texts in Mathematics
Maße: 241 x 160 x 36 mm
Von/Mit: Martin Aigner
Erscheinungsdatum: 26.06.2007
Gewicht: 1,021 kg
preigu-id: 102066346
Zusammenfassung

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 of combinatorial enumeration to a variety of topics, ranging from algebra to statistical physics. The aim of the author is to introduce readers to a fascinating field, and to offer a sophisticated 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 section, discussing in detail a particularly beautiful or famous result.

Inhaltsverzeichnis
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.
Details
Erscheinungsjahr: 2007
Fachbereich: Grundlagen
Genre: Mathematik
Rubrik: Naturwissenschaften & Technik
Medium: Buch
Seiten: 576
Reihe: Graduate Texts in Mathematics
Inhalt: x
566 S.
ISBN-13: 9783540390329
ISBN-10: 3540390324
Sprache: Englisch
Herstellernummer: 11846307
Ausstattung / Beilage: HC runder Rücken kaschiert
Einband: Gebunden
Autor: Aigner, Martin
Auflage: 2007
Hersteller: Springer Berlin
Springer Berlin Heidelberg
Graduate Texts in Mathematics
Maße: 241 x 160 x 36 mm
Von/Mit: Martin Aigner
Erscheinungsdatum: 26.06.2007
Gewicht: 1,021 kg
preigu-id: 102066346
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