Combinatorics and Graph Theory - Rilegato

Harris, John M.; Hirst, Jeffry L.; Mossinghoff, Michael J.

Rilegato

ISBN 10: 0387987363 ISBN 13: 9780387987361

Casa editrice: Springer Verlag, 2000

Riassunto

This book evolved from several courses in combinatorics and graph theory given at Appalachian State University and UCLA. Chapter 1 focuses on finite graph theory, including trees, planarity, coloring, matchings, and Ramsey theory. Chapter 2 studies combinatorics, including the principle of inclusion and exclusion, generating functions, recurrence relations, Polya theory, the stable marriage problem, and several important classes of numbers. Chapter 3 presents infinite pigeonhole principles, Konig's lemma, and Ramsey's theorem, and discusses their connections to axiomatic set theory.
The text includes results and problems that cross subdisciplines, emphasizing relationships between different areas of mathematics. In addition, recent results appear in the text, illustrating the fact that mathematics is a living discipline. The text is primarily directed toward upper-division undergraduate students, but lower-division undergraduates with a penchant for proof and graduate students seeking an introduction to these subjects will also find much of interest.

Su questo libro

Informazioni sull?autore

Michael J. Mossinghoff has taught at Appalachian State University and UCLA.

Dettagli dell?edizione

• Editore: Springer Verlag
• Data di pubblicazione: 2000
• Lingua: Inglese
• ISBN 10: 0387987363
• ISBN 13: 9780387987361
• Rilegatura: Copertina rigida
• Numero edizione: 1
• Numero di pagine: 225
• Contatto del produttore: non disponibile