Skip to content

Due to scheduled maintenance, online ordering will not be available on this site from 10:00 until 22:00 GMT on Saturday 16th December. We apologise for the inconvenience.

Cart

Your Cart

×

You have 0 items in your cart.

Register Sign in Wishlist
Integer Partitions

Integer Partitions

£29.99

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

£ 29.99
Paperback

Add to cart Add to wishlist

Other available formats:
Hardback


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • 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.

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

    Reviews & endorsements

    'Interesting historical remarks and recent results are also contained. This book offers a charming entryway to partition theory.' Zentralblatt MATH

    'The clarity, accuracy, and motivation found in the writing should make the book especially attractive to students who want to begin to learn about the beautiful theory of partitions.' Combinatorics, Probability and Computing

    See more reviews

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity

    ×

    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?

    ×

    Product details

    • Date Published: December 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

    General Resources

    Welcome to the resources site

    Here you will find free-of-charge online materials to accompany this book. The range of materials we provide across our academic and higher education titles are an integral part of the book package whether you are a student, instructor, researcher or professional.

    Find resources associated with this title

    Type Name Unlocked * Format Size

    Showing of

    Back to top

    *This title has one or more locked files and access is given only to lecturers adopting the textbook for their class. We need to enforce this strictly so that solutions are not made available to students. To gain access to locked resources you either need first to sign in or register for an account.


    These resources are provided free of charge by Cambridge University Press with permission of the author of the corresponding work, but are subject to copyright. You are permitted to view, print and download these resources for your own personal use only, provided any copyright lines on the resources are not removed or altered in any way. Any other use, including but not limited to distribution of the resources in modified form, or via electronic or other media, is strictly prohibited unless you have permission from the author of the corresponding work and provided you give appropriate acknowledgement of the source.

    If you are having problems accessing these resources please email lecturers@cambridge.org

  • 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 Mälardalen 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.

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email lecturers@cambridge.org

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

Find content that relates to you

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.

Cancel

Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

×
Please fill in the required fields in your feedback submission.
×