A Course in Enumeration

TRAMA

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.

SOMMARIO

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.

ALTRE INFORMAZIONI

• Condizione: Nuovo
• ISBN: 9783540390329
• Collana: Graduate Texts in Mathematics
• Dimensioni: 235 x 155 mm
• Formato: Copertina rigida
• Illustration Notes: X, 565 p. 55 illus.
• Pagine Arabe: 566
• Pagine Romane: x