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Integer Partitions

Integer Partitions

$51.99 (P)

  • Date Published: October 2004
  • availability: Available
  • format: Paperback
  • isbn: 9780521600903

$ 51.99 (P)
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About the Authors
  • The theory of integer partitions is a subject of enduring interest as well as a major research area. It has found numerous applications, including celebrated results such as the Rogers-Ramanujan identities. The aim of this introductory textbook is to provide an accessible and wide-ranging introduction to partitions, without requiring anything more than some familiarity with polynomials and infinite series. Many exercises are included, together with some solutions and helpful hints.

    • Early treatment of Rogers-Ramanujan identities
    • Includes an introduction to the interaction of probability and partitions
    • The first elementary introduction to this exciting topic
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    Reviews & endorsements

    "...until now there has not been a good introduction to the subject at an elementary level. Integer Partitions...is written at a level that most undergraduates, and even many high school students, could follow quite easily."
    -MAA Reviews, Darren Glass, Columbia University

    "This book is written in a very easy and friendly style. The authors start from scratch and lead the readers from the easy to the unsolved problems. It is really a pleasure to read."
    -Mathematical Reviews

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    Product details

    • Date Published: October 2004
    • format: Paperback
    • isbn: 9780521600903
    • length: 152 pages
    • dimensions: 229 x 152 x 9 mm
    • weight: 0.23kg
    • contains: 58 b/w illus. 5 tables 168 exercises
    • availability: Available
  • 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.

  • Resources for

    Integer Partitions

    George E. Andrews, Kimmo Eriksson

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  • Authors

    George E. Andrews, Pennsylvania State University
    George E. Andrews is Evan Pugh Professor of Mathematics at the Pennsylvania State University. He has been a Guggenheim Fellow, the Principal Lecturer at a Conference Board for the Mathematical Sciences meeting, and a Hedrick Lecturer for the MAA. Having published extensively on the theory of partitions and related areas, he has been formally recognized for his contribution to pure mathematics by several prestigious universities and is a member of the National Academy of Sciences (USA).

    Kimmo Eriksson, Mälardalens Högskola, Sweden
    Kimmo Eriksson is Professor of Mathematics at M�lardalen University College, where he has served as the dean of the Faculty of Science and Technology. He has published in combinatorics, computational biology and game theory. He is also the author of several textbooks in discrete mathematics and recreational mathematics, and has received numerous prizes for excellence in teaching.

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