Skip to content
Register Sign in Wishlist

Combinatorial Mathematics

£59.99

textbook
  • Date Published: July 2020
  • availability: In stock
  • format: Hardback
  • isbn: 9781107058583

£ 59.99
Hardback

Add to cart Add to wishlist

Other available formats:
eBook


Request inspection copy

Lecturers may request a copy of this title for inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • 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 2200 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 2200 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
    Read more

    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

    'I have taught out of this book for many years. It is the ideal textbook for graduate students or advanced undergraduates. The book is filled with lots of great problems that are well suited for homework assignments and potential research projects. Highly recommended.' Arthur Benjamin, Harvey Mudd College, California

    'This book is impressive both for its breadth and its hundreds of exercises. Serious study of it will richly reward the reader.' Daniel Cranston, Virginia Commonwealth University

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: July 2020
    • format: Hardback
    • isbn: 9781107058583
    • length: 988 pages
    • dimensions: 252 x 198 x 57 mm
    • weight: 2kg
    • contains: 2200 exercises
    • availability: In stock
  • 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.

  • Resources for

    Combinatorial Mathematics

    Douglas B. West

    General Resources

    Lecturer Resources

    Find resources associated with this title

    Type Name Unlocked * Format Size

    Showing of

    Back to top

    This title is supported by one or more locked resources. Access to locked resources is granted exclusively by Cambridge University Press to lecturers whose faculty status has been verified. To gain access to locked resources, lecturers should sign in to or register for a Cambridge user account.

    Please use locked resources responsibly and exercise your professional discretion when choosing how you share these materials with your students. Other lecturers may wish to use locked resources for assessment purposes and their usefulness is undermined when the source files (for example, solution manuals or test banks) are shared online or via social networks.

    Supplementary resources are subject to copyright. Lecturers are permitted to view, print or download these resources for use in their teaching, but may not change them or use them for commercial gain.

    If you are having problems accessing these resources please contact lecturers@cambridge.org.

  • Author

    Douglas B. West, University of Illinois, Urbana-Champaign
    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.

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon
×

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×