che-chandler.de
A Course in Enumeration
HC runder Rücken kaschiert
Sofort lieferbar | Lieferzeit: Sofort lieferbar I
Alle Preise inkl. MwSt. | Versandkostenfrei
ISBN-13:
9783540390329
Veröffentl:
2007
Einband:
HC runder Rücken kaschiert
Erscheinungsdatum:
26.06.2007
Seiten:
576
Autor:
Martin Aigner
Gewicht:
1021 g
Format:
241x160x36 mm
Serie:
238, Graduate Texts in Mathematics
Sprache:
Englisch
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 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.
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.