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  • © 1997

Combinatorial Theory

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Part of the book series: Classics in Mathematics (CLASSICS)

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Table of contents (9 chapters)

  1. Front Matter

    Pages N3-viii
  2. Preliminaries

    • Martin Aigner
    Pages 1-4
  3. Mappings

    • Martin Aigner
    Pages 5-29
  4. Lattices

    • Martin Aigner
    Pages 30-72
  5. Counting Functions

    • Martin Aigner
    Pages 73-136
  6. Incidence Functions

    • Martin Aigner
    Pages 137-195
  7. Generating Functions

    • Martin Aigner
    Pages 196-254
  8. Matroids: Introduction

    • Martin Aigner
    Pages 255-321
  9. Matroids: Further Theory

    • Martin Aigner
    Pages 322-390
  10. Combinatorial Order Theory

    • Martin Aigner
    Pages 391-451
  11. Back Matter

    Pages 453-485

About this book

Reihentext + Combinatorial Theory From the reviews: "This book presents a very good introduction to combinatorics. It covers most aspects of enumeration and order theory,... It is divided into three parts. The first part presents the basic material on mappings and posets... The second part deals with enumeration ... Finally the third part treats of the order-theoretic aspects ... In the text examples are given and at the end of each chapter valuable notes, also very good selected exercises. They constitute an organic part of the book. This book can warmly be recommended first of all to students interested in combinatorics. A two semester course can also be based on it." (Publicationes Mathematicae Debrecen)

Authors and Affiliations

  • Institut für Mathematik II, Freie Universität Berlin, Berlin, Germany

    Martin Aigner

About the author

Biography of Martin Aigner

Martin Aigner received his Ph.D. in Mathematics in 1965 from the University of Vienna. He then spent five years in the United States, the last two at the University of North Carolina at Chapel Hill where he was introduced to the combinatorial world (which he has never left since) by G. C. Rota and the late R. C. Bose. After extensive travels he returned to Europe and spent three years at the University of Tübingen with a senior fellowship of the German Science Foundation. Since 1974 he has been a Professor of Mathematics at the Free University of Berlin.
Martin Aigner has published in various fields of combinatorics and graph theory and is the author of several monographs on discrete mathematics, graph theory and the theory of search.

Bibliographic Information

  • Book Title: Combinatorial Theory

  • Authors: Martin Aigner

  • Series Title: Classics in Mathematics

  • DOI: https://doi.org/10.1007/978-3-642-59101-3

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1997

  • Softcover ISBN: 978-3-540-61787-7Published: 16 December 1996

  • eBook ISBN: 978-3-642-59101-3Published: 06 December 2012

  • Series ISSN: 1431-0821

  • Series E-ISSN: 2512-5257

  • Edition Number: 1

  • Number of Pages: X, 483

  • Additional Information: Originally published as volume 234 in the series: Grundlehren der mathematischen Wissenschaften

  • Topics: Combinatorics, Convex and Discrete Geometry, Order, Lattices, Ordered Algebraic Structures

Buy it now

Buying options

eBook USD 44.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 59.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access