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Combinatorial Theory

  • Book
  • © 1979


Part of the book series: Grundlehren der mathematischen Wissenschaften (GL, volume 234)

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Table of contents (9 chapters)


About this book

It is now generally recognized that the field of combinatorics has, over the past years, evolved into a fully-fledged branch of discrete mathematics whose potential with respect to computers and the natural sciences is only beginning to be realized. Still, two points seem to bother most authors: The apparent difficulty in defining the scope of combinatorics and the fact that combinatorics seems to consist of a vast variety of more or less unrelated methods and results. As to the scope of the field, there appears to be a growing consensus that combinatorics should be divided into three large parts: (a) Enumeration, including generating functions, inversion, and calculus of finite differences; (b) Order Theory, including finite posets and lattices, matroids, and existence results such as Hall's and Ramsey's; (c) Configurations, including designs, permutation groups, and coding theory. The present book covers most aspects of parts (a) and (b), but none of (c). The reasons for excluding (c) were twofold. First, there exist several older books on the subject, such as Ryser [1] (which I still think is the most seductive introduction to combinatorics), Hall [2], and more recent ones such as Cameron-Van Lint [1] on groups and designs, and Blake-Mullin [1] on coding theory, whereas no compre­ hensive book exists on (a) and (b).

Authors and Affiliations

  • II. Institut für Mathematik, Freie Universität Berlin, Berlin 33, Federal Republic of Germany

    Martin Aigner

Bibliographic Information

  • Book Title: Combinatorial Theory

  • Authors: Martin Aigner

  • Series Title: Grundlehren der mathematischen Wissenschaften

  • DOI:

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag New York Inc. 1979

  • Softcover ISBN: 978-1-4615-6668-7Published: 24 April 2012

  • eBook ISBN: 978-1-4615-6666-3Published: 06 December 2012

  • Series ISSN: 0072-7830

  • Series E-ISSN: 2196-9701

  • Edition Number: 1

  • Number of Pages: VIII, 484

  • Additional Information: Original German edition published in two parts in the series: Hochschultexte

  • Topics: Mathematics, general

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