Integer partitions

Author(s)

Bibliographic Information

Integer partitions

George E. Andrews, Kimmo Eriksson

Cambridge University Press, 2004

  • : hardback
  • : pbk

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Note

Includes bibliographical references (p. 129-131) and index

Description and Table of Contents

Description

The theory of integer partitions is a subject of enduring interest. A major research area in its own right, it has found numerous applications, and celebrated results such as the Rogers-Ramanujan identities make it a topic filled with the true romance of mathematics. The aim in this introductory textbook is to provide an accessible and wide ranging introduction to partitions, without requiring anything more of the reader than some familiarity with polynomials and infinite series. Many exercises are included, together with some solutions and helpful hints. The book has a short introduction followed by an initial chapter introducing Euler's famous theorem on partitions with odd parts and partitions with distinct parts. This is followed by chapters titled: Ferrers Graphs, The Rogers-Ramanujan Identities, Generating Functions, Formulas for Partition Functions, Gaussian Polynomials, Durfee Squares, Euler Refined, Plane Partitions, Growing Ferrers Boards, and Musings.

Table of Contents

  • 1. Introduction
  • 2. Euler and beyond
  • 3. Ferrers graphs
  • 4. The Rogers-Ramanujan identities
  • 5. Generating functions
  • 6. Formulas for partition functions
  • 7. Gaussian polynomials
  • 8. Durfee squares
  • 9. Euler refined
  • 10. Plane partitions
  • 11. Growing Ferrers boards
  • 12. Musings
  • A. Infinite series and products
  • B. References
  • C. Solutions and hints.

by "Nielsen BookData"

Details

  • NCID
    BA69994684
  • ISBN
    • 0521841186
    • 0521600901
  • LCCN
    2003069732
  • Country Code
    uk
  • Title Language Code
    eng
  • Text Language Code
    eng
  • Place of Publication
    Cambridge, U.K.
  • Pages/Volumes
    x, 141 p.
  • Size
    24 cm
  • Classification
  • Subject Headings
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