Bela Bollobas: Combinatorics | Taschenbuch

Cover: 9780521337038 | Combinatorics | Bela Bollobas (u. a.) | Taschenbuch | Englisch | 1986

Rückseite: 9780521337038 | Combinatorics | Bela Bollobas (u. a.) | Taschenbuch | Englisch | 1986

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Sprache: Englisch

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Beschreibung

Combinatorics is a book whose main theme is the study of subsets of a finite set. It gives a thorough grounding in the theories of set systems and hypergraphs, while providing an introduction to matroids, designs, combinatorial probability and Ramsey theory for infinite sets. The gems of the theory are emphasized: beautiful results with elegant proofs. The book developed from a course at Louisiana State University and combines a careful presentation with the informal style of those lectures. It should be an ideal text for senior undergraduates and beginning graduates.

Inhaltsverzeichnis

Frontispiece; Preface; 1. Notation; 2. Representing sets; 3. Sperner systems; 4. The Littlewood - Offord problem; 5. Shadows; 6. Random sets; 7. Intersecting hypergraphs; 8. The Turán problem; 9. Saturated hypergraphs; 10. Well-separated systems; 11. Helly families; 12. Hypergraphs with a given number of disjoint edges; 13. Intersecting families; 14. Factorizing complete hypergraphs; 15. Weakly saturated hypergraphs; 16. Isoperimetric problems; 17. The trace of a set system; 18. Partitioning sets of vectors; 19. The four functions theorem; 20. Infinite ramsey theory; References; Index.

Details

Erscheinungsjahr:	1986
Fachbereich:	Allgemeines
Genre:	Importe , Mathematik
Rubrik:	Naturwissenschaften & Technik
Medium:	Taschenbuch
ISBN-13:	9780521337038
ISBN-10:	0521337038
Sprache:	Englisch
Einband:	Kartoniert / Broschiert
Autor:	Bollobas, Bela Bolloboas, Boela
Redaktion:	Bollobas, Bela
Hersteller:	Cambridge University Press
Verantwortliche Person für die EU:	Libri GmbH, Europaallee 1, D-36244 Bad Hersfeld, gpsr@libri.de
Maße:	229 x 152 x 11 mm
Von/Mit:	Bela Bollobas (u. a.)
Erscheinungsdatum:	01.08.1986
Gewicht:	0,287 kg