A Course in Combinatorics - J. H. van Lint, R. M. Wilson

A Course in Combinatorics

Buch | Hardcover
616 Seiten
2001 | 2nd Revised edition
Cambridge University Press (Verlag)
978-0-521-80340-3 (ISBN)
93,50 inkl. MwSt
  • Titel erscheint in neuer Auflage
  • Artikel merken
Combinatorics deals with ways of arranging and distributing mathematical objects, and involves ideas from geometry, algebra and analysis. The theory has broad applications, including codes, circuit design and algorithm complexity. Graph theory, enumeration, external problems, projective geometry, designs, colourings and codes, amongst others, are dealt with in a unified way.
This is the second edition of a popular book on combinatorics, a subject dealing with ways of arranging and distributing objects, and which 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 essential for workers in many scientific fields to have some familiarity with the subject. The authors have tried to be as comprehensive as possible, dealing in a unified manner with, for example, 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. The book is ideal for courses on combinatorical mathematics at the advanced undergraduate or beginning graduate level. Working mathematicians and scientists will also find it a valuable introduction and reference.

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.

Erscheint lt. Verlag 22.11.2001
Zusatzinfo 66 Line drawings, unspecified
Verlagsort Cambridge
Sprache englisch
Maße 180 x 256 mm
Gewicht 1327 g
Themenwelt Mathematik / Informatik Mathematik Graphentheorie
ISBN-10 0-521-80340-3 / 0521803403
ISBN-13 978-0-521-80340-3 / 9780521803403
Zustand Neuware
Haben Sie eine Frage zum Produkt?
Mehr entdecken
aus dem Bereich
Numbers and Counting, Groups, Graphs, Orders and Lattices

von Volker Diekert; Manfred Kufleitner; Gerhard Rosenberger …

Buch | Softcover (2023)
De Gruyter (Verlag)
64,95