Combinatorics
Topics, Techniques, Algorithms
Seiten
1994
Cambridge University Press (Verlag)
978-0-521-45761-3 (ISBN)
Cambridge University Press (Verlag)
978-0-521-45761-3 (ISBN)
A textbook in combinatorics for second-year undergraduate to beginning graduate students.
Combinatorics is a subject of increasing importance, owing to its links with computer science, statistics and algebra. This is a textbook aimed at second-year undergraduates to beginning graduates. It stresses common techniques (such as generating functions and recursive construction) which underlie the great variety of subject matter and also stresses the fact that a constructive or algorithmic proof is more valuable than an existence proof. The book is divided into two parts, the second at a higher level and with a wider range than the first. Historical notes are included which give a wider perspective on the subject. More advanced topics are given as projects and there are a number of exercises, some with solutions given.
Combinatorics is a subject of increasing importance, owing to its links with computer science, statistics and algebra. This is a textbook aimed at second-year undergraduates to beginning graduates. It stresses common techniques (such as generating functions and recursive construction) which underlie the great variety of subject matter and also stresses the fact that a constructive or algorithmic proof is more valuable than an existence proof. The book is divided into two parts, the second at a higher level and with a wider range than the first. Historical notes are included which give a wider perspective on the subject. More advanced topics are given as projects and there are a number of exercises, some with solutions given.
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.
| Erscheint lt. Verlag | 6.10.1994 |
|---|---|
| Verlagsort | Cambridge |
| Sprache | englisch |
| Maße | 191 x 234 mm |
| Gewicht | 649 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Graphentheorie |
| ISBN-10 | 0-521-45761-0 / 0521457610 |
| ISBN-13 | 978-0-521-45761-3 / 9780521457613 |
| Zustand | Neuware |
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