Integer Partitions

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Cambridge University Press, Oct 11, 2004 - Mathematics - 141 pages
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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.
  

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Contents

II
ii
III
5
IV
6
V
8
VI
10
VII
14
VIII
15
IX
16
XXXI
69
XXXII
71
XXXIII
74
XXXIV
75
XXXV
78
XXXVI
79
XXXVII
81
XXXVIII
85

X
19
XI
23
XII
24
XIII
29
XIV
31
XV
33
XVI
35
XVII
39
XVIII
41
XIX
42
XX
47
XXI
48
XXII
49
XXIII
51
XXIV
52
XXV
55
XXVI
57
XXVII
58
XXVIII
61
XXIX
64
XXX
67
XXXIX
88
XL
90
XLI
92
XLII
99
XLIII
101
XLIV
103
XLV
106
XLVI
107
XLVII
110
XLVIII
113
XLIX
115
L
116
LI
121
LII
123
LIII
124
LIV
125
LV
126
LVI
129
LVII
132
LVIII
139
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About the author (2004)

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.

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