A Course in Combinatorics
2nd Edition
$96.99 (X)
- Authors:
- J. H. van Lint, Technische Universiteit Eindhoven, The Netherlands
- R. M. Wilson, California Institute of Technology
- Date Published: December 2001
- availability: Available
- format: Paperback
- isbn: 9780521006019
$
96.99
(X)
Paperback
-
Combinatorics, a subject dealing with ways of arranging and distributing objects, involves ideas from geometry, algebra, and analysis. The breadth of the theory is matched by that of its applications, which include topics as diverse as codes, circuit design and algorithm complexity. It has thus become an essential tool in many scientific fields. In this second edition the authors have made the text as comprehensive as possible, dealing in a unified manner with such topics as graph theory, extremal problems, designs, colorings, and codes. The depth and breadth of the coverage make the book a unique guide to the whole of the subject. It is ideal for courses on combinatorical mathematics at the advanced undergraduate or beginning graduate level, and working mathematicians and scientists will also find it a valuable introduction and reference.
Read more- Uniquely comprehensive coverage
- Authors are leading experts
- Very pedagogic - carefully explained
Reviews & endorsements
"...their choice of subject matter is superb...would indeed make an excellent text for a full-year introduction to combinatorics." Mathematical Reviews
See more reviews"...this is a valuable book both for the professional with a passing interest in combinatorics and for the students for whom it is primarily intended." Times Higher Education Supplement
Customer reviews
Not yet reviewed
Be the first to review
Review was not posted due to profanity
×Product details
- Edition: 2nd Edition
- Date Published: December 2001
- format: Paperback
- isbn: 9780521006019
- length: 620 pages
- dimensions: 244 x 170 x 33 mm
- weight: 1.02kg
- contains: 66 b/w illus.
- availability: Available
Table of Contents
Preface
1. Graphs
2. Trees
3. Colorings of graphs and Ramsey's theorem
4. Turán's theorem and extremal graphs
5. Systems of distinct representatives
6. Dilworth's theorem and extremal set theory
7. Flows in networks
8. De Bruijn sequences
9. The addressing problem for graphs
10. The principle of inclusion and exclusion: inversion formulae
11. Permanents
12. The Van der Waerden conjecture
13. Elementary counting: Stirling numbers
14. Recursions and generating functions
15. Partitions
16. (0,1)-matrices
17. Latin squares
18. Hadamard matrices, Reed-Muller codes
19. Designs
20. Codes and designs
21. Strongly regular graphs and partial geometries
22. Orthogonal Latin squares
23. Projective and combinatorial geometries
24. Gaussian numbers and q-analogues
25. Lattices and Möbius inversion
26. Combinatorial designs and projective geometries
27. Difference sets and automorphisms
28. Difference sets and the group ring
29. Codes and symmetric designs
30. Association schemes
31. Algebraic graph theory: eigenvalue techniques
32. Graphs: planarity and duality
33. Graphs: colorings and embeddings
34. Electrical networks and squared squares
35. Pólya theory of counting
36. Baranyai's theorem
Appendices
Name index
Subject index.
Related Books
related journals
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» 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 ×Are you sure you want to delete your account?
This cannot be undone.
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.
×