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Integer Partitions (Hardcover, 2Rev ed)
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Integer Partitions (Hardcover, 2Rev ed)
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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.
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