Combinatorics
Combinatorics
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Combinatorics is a subject of increasing importance because of its links with computer science, statistics, and algebra. This textbook stresses common techniques (such as generating functions and recursive construction) that underlie the great variety of subject matter, and the fact that a constructive or algorithmic proof is more valuable than an existence proof. The author emphasizes techniques as well as topics and includes many algorithms described in simple terms. The text should provide essential background for students in all parts of discrete mathematics.
- Written in two parts at different levels
- Includes projects for brighter students
- Features historical notes which add perspective
- Incorporates numerous exercises
Reviews & endorsements
"Cameron covers an impressive amount of material in a relatively small space...an outstanding supplement to other texts..." M. Henle, Choice
"...used as a text at the senior or graduate level and is an excellent reference....The range of topics is very good." The UMAP Journal
Product details
January 1995Paperback
9780521457613
368 pages
234 × 191 × 25 mm
0.649kg
Available
Table of Contents
- Preface
- 1. What is combinatorics?
- 2. On numbers and counting
- 3. Subsets, partitions, permutations
- 4. Recurrence relations and generating functions
- 5. The principle of inclusion and exclusion
- 6. Latin squares and SDRs
- 7. Extremal set theory
- 8. Steiner triple theory
- 9. Finite geometry
- 10. Ramsey's theorem
- 11. Graphs
- 12. Posets, lattices and matroids
- 13. More on partitions and permutations
- 14. Automorphism groups and permutation groups
- 15. Enumeration under group action
- 16. Designs
- 17. Error-correcting codes
- 18. Graph colourings
- 19. The infinite
- 20. Where to from here?
- Answers to selected exercises
- Bibliography
- Index.
