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Advanced Combinatorics

The Art of Finite and Infinite Expansions

  • Book
  • © 1974

Overview

Authors:
  1. Louis Comtet

    1. University of Paris-Sud, Orsay, France

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Table of contents (7 chapters)

  1. Front Matter

    Pages I-XI
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  2. Vocabulary of Combinatorial Analysis

    • Louis Comtet
    Pages 1-93

  3. Partitions of Integers

    • Louis Comtet
    Pages 94-126

  4. Identities and Expansions

    • Louis Comtet
    Pages 127-175

  5. Sieve Formulas

    • Louis Comtet
    Pages 176-203

  6. Stirling Numbers

    • Louis Comtet
    Pages 204-229

  7. Permutations

    • Louis Comtet
    Pages 230-267

  8. Examples of Inequalities and Estimates

    • Louis Comtet
    Pages 268-304

  9. Back Matter

    Pages 305-343
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Keywords

About this book

Notwithstanding its title, the reader will not find in this book a systematic account of this huge subject. Certain classical aspects have been passed by, and the true title ought to be "Various questions of elementary combina­ torial analysis". For instance, we only touch upon the subject of graphs and configurations, but there exists a very extensive and good literature on this subject. For this we refer the reader to the bibliography at the end of the volume. The true beginnings of combinatorial analysis (also called combina­ tory analysis) coincide with the beginnings of probability theory in the 17th century. For about two centuries it vanished as an autonomous sub­ ject. But the advance of statistics, with an ever-increasing demand for configurations as well as the advent and development of computers, have, beyond doubt, contributed to reinstating this subject after such a long period of negligence. For a long time the aim of combinatorial analysis was to count the different ways of arranging objects under given circumstances. Hence, many of the traditional problems of analysis or geometry which are con­ cerned at a certain moment with finite structures, have a combinatorial character. Today, combinatorial analysis is also relevant to problems of existence, estimation and structuration, like all other parts of mathema­ tics, but exclusively forjinite sets.

Authors and Affiliations

  • University of Paris-Sud, Orsay, France

    Louis Comtet

Bibliographic Information

  • Book Title: Advanced Combinatorics

  • Book Subtitle: The Art of Finite and Infinite Expansions

  • Authors: Louis Comtet

  • DOI: https://doi.org/10.1007/978-94-010-2196-8

  • Publisher: Springer Dordrecht

  • eBook Packages: Springer Book Archive

  • Copyright Information: D. Reidel Publishing Company, Dordrecht, Holland 1974

  • Hardcover ISBN: 978-90-277-0441-2Due: 01 April 1974

  • Softcover ISBN: 978-94-010-2198-2Published: 06 November 2011

  • eBook ISBN: 978-94-010-2196-8Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: XI, 343

  • Topics: Combinatorics, Science, Humanities and Social Sciences, multidisciplinary

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