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This title in other editions

Integer Partitions

by

Integer Partitions Cover

 

Synopses & Reviews

Publisher Comments:

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.

Book News Annotation:

Andrews (mathematics, Pennsylvania State University) and Eriksson (applied mathematics, M<:a>lardalen University, Sweden) introduce integer partitions in this text for a one-semester undergraduate course for students with some background in polynomials and indefinite series. Coverage progresses from Euler's theorem through Ferrers boards and unsolved problems. To make the test both easier and more stimulating, many arguments have been omitted and left as exercises.
Annotation 2005 Book News, Inc., Portland, OR (booknews.com)

Book News Annotation:

Andrews (mathematics, Pennsylvania State University) and Eriksson (applied mathematics, M<:a>lardalen University, Sweden) introduce integer partitions in this text for a one-semester undergraduate course for students with some background in polynomials and indefinite series. Coverage progresses from Euler's theorem through Ferrers boards and unsolved problems. To make the test both easier and more stimulating, many arguments have been omitted and left as exercises. Annotation ©2005 Book News, Inc., Portland, OR (booknews.com)

Synopsis:

Provides a wide ranging introduction to partitions, accessible to any reader familiar with polynomials and infinite series.

About the Author

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 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.

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.

Product Details

ISBN:
9780521600903
Author:
Andrews, George E.
Publisher:
Cambridge University Press
Author:
Eriksson, Kimmo
Author:
Andrews, George
Location:
New York
Subject:
Number Theory
Subject:
Partitions
Subject:
Mathematics-Number Theory
Edition Description:
Trade paper
Series Volume:
2001-21
Publication Date:
20100531
Binding:
TRADE PAPER
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
58 b/w illus. 5 tables 168 exercises
Pages:
152
Dimensions:
8.92x6.08x.42 in. .48 lbs.

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Related Subjects

History and Social Science » Linguistics » General
History and Social Science » World History » General
Science and Mathematics » Mathematics » General
Science and Mathematics » Mathematics » Number Theory

Integer Partitions New Trade Paper
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Product details 152 pages Cambridge University Press - English 9780521600903 Reviews:
"Synopsis" by , Provides a wide ranging introduction to partitions, accessible to any reader familiar with polynomials and infinite series.
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