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Combinatorial Mathematics

Combinatorial Mathematics

c.£59.99

textbook
  • Publication planned for: June 2020
  • availability: Not yet published - available from June 2020
  • format: Hardback
  • isbn: 9781107058583

c.£ 59.99
Hardback

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  • This long-awaited textbook is the most comprehensive introduction to a broad swath of combinatorial and discrete mathematics. The text covers enumeration, graphs, sets, and methods, and it includes both classical results and more recent developments. Assuming no prior exposure to combinatorics, it explains the basic material for graduate-level students in mathematics and computer science. Optional more advanced material also makes it valuable as a research reference. Suitable for a one-year course or a one-semester introduction, this textbook prepares students to move on to more advanced material. It is organized to emphasize connections among the topics, and facilitate instruction, self-study, and research, with more than 2100 exercises (many accompanied by hints) at various levels of difficulty. Consistent notation and terminology are used throughout, allowing for a discussion of diverse topics in a unified language. The thorough bibliography, containing thousands of citations, makes this a valuable source for students and researchers alike.

    • Can be used as a text for a one-year sequence, or as a one-semester introduction leading to an advanced course, with a complete solutions manual available online for instructors
    • Contains more than 2100 exercises at various levels. Especially instructive, interesting, or valuable exercises are marked with a diamond symbol
    • Includes several thousand references (with pointers to pages where cited) and many exercises, theorems, and proofs that have not previously appeared in textbooks
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    Reviews & endorsements

    'This is a great book by a great writer. It covers the main topics of combinatorics, is well written and presents many beautiful ideas and techniques. It is very helpful to students, teachers and researchers. I would like to have this book on my desk.' Alexandr Kostochka, University of Illinois

    'This is a real gem, capturing the spirit, breadth and depth of Combinatorics. Doug West is a master of exposition, his thorough treatment of the subject will be useful for students and researchers in mathematics and computer science.' Noga Alon, Princeton University, New Jersey

    'A comprehensive and comprehensible treatment of combinatorial mathematics - what the author intended, and more - a valuable resource on the subject. It may well stimulate the addition to the university curriculum of courses in this area. Borrowing advice from the past, my recommendation for anyone wanting a definitive book on combinatorics is 'Go West, my friend, go West!'.' Lowell Beineke, Purdue University Fort Wayne

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    Product details

    • Publication planned for: June 2020
    • format: Hardback
    • isbn: 9781107058583
    • dimensions: 246 x 189 mm
    • contains: 2170 exercises
    • availability: Not yet published - available from June 2020
  • Table of Contents

    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.

  • Author

    Douglas B. West, Zhejiang University, China
    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.

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