Douglas B. West

Combinatorial Mathematics (eBook, PDF)

• Format: PDF

Produktbeschreibung

This is the most readable and thorough graduate textbook and reference for combinatorics, covering enumeration, graphs, sets, and methods.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 16. Juli 2020
• Englisch
• ISBN-13: 9781108889520
• Artikelnr.: 70911579

Autorenporträt

Douglas B. West is Professor of Mathematics at Zhejiang Normal University and Professor Emeritus at the University of Illinois, where he won a campus-wide teaching award in 2002. Professor West has written more than 250 research articles on diverse topics in combinatorics and has advised 38 doctoral students. His earlier books include Introduction to Graph Theory (2001), a popular textbook adopted around the world for courses. He is Editor-in-Chief of Discrete Mathematics (since 2007) and Associate Editor of the American Mathematical Monthly (editing solutions for the Problems section since 1986). He also maintains web pages at https://faculty.math.illinois.edu/~west/ giving links to conferences in discrete mathematics and advice on writing mathematics.

Inhaltsangabe

Introduction
Part I. Enumeration: 1. Combinatorial arguments
2. Recurrence relations
3. Generating functions
4. Further topics
Part II. Graphs: 5. First concepts for graphs
6. Matchings
7. Connectivity and cycles
8. Coloring
9. Planar graphs
Part III. Sets: 10. Ramsey theory
11. Extremal problems
12. Partially ordered sets
13. Combinatorial designs
Part IV. Methods: 14. The probabilistic method
15. Linear algebra
16. Geometry and topology
Appendix. Hints to selected exercises
References
Author index
Notation index
Subject index.