Aigner A Course in Enumeration
1. Auflage 2007
ISBN: 978-3-540-39035-0
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
E-Book, Englisch, 565 Seiten, Web PDF
Reihe: Graduate Texts in Mathematics
ISBN: 978-3-540-39035-0
Verlag: Springer
Format: PDF
Kopierschutz: 1 - PDF Watermark
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.
Zielgruppe
Professional/practitioner
Autoren/Hrsg.
Weitere Infos & Material
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.
