This is an ex-library book and may have the usual library/used-book markings inside.This book has soft covers. With owner's name inside cover. In fair condition, suitable as a study copy. Please note the Image in this listing is a stock photo and may not match the covers of the actual item,300grams, ISBN:0412224305.

Bestandsnummer des Verk�ufers 7091922

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Bibliografische Details

Titel

Independence Theory in Combinatorics: An Introductory Account With Applications to Graphs and Transversals (Chapman and Hall Mathematics)

Verlag

Chapman & Hall

Ver�ffentlichungsdatum

1980

Sprache

Englisch

ISBN-10

0412224305

ISBN-13

9780412224300

Bindung

Softcover

Zustand

Fair

Verk�uferkataloge

Mathematics

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Inhaltsangabe

Combinatorics may very loosely be described as that branch of mathematics which is concerned with the problems of arranging objects in accordance with various imposed constraints. It covers a wide range of ideas and because of its fundamental nature it has applications throughout mathematics. Among the well-established areas of combinatorics may now be included the studies of graphs and networks, block designs, games, transversals, and enumeration problem s concerning permutations and combinations, from which the subject earned its title, as weil as the theory of independence spaces (or matroids). Along this broad front,various central themes link together the very diverse ideas. The theme which we introduce in this book is that of the abstract concept of independence. Here the reason for the abstraction is to unify; and, as we sh all see, this unification pays off handsomely with applications and illuminating sidelights in a wide variety of combinatorial situations. The study of combinatorics in general, and independence theory in particular, accounts for a considerable amount of space in the mathematical journais. For the most part, however, the books on abstract independence so far written are at an advanced level, �whereas the purpose of our short book is to provide an elementary in� troduction to the subject.

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