An Introduction to Mathematical Cosmology

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Cambridge University Press, 2002 - Mathematics - 248 pages
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This book provides a concise introduction to the mathematical aspects of the origin, structure and evolution of the universe. The book begins with a brief overview of observational and theoretical cosmology, along with a short introduction of general relativity. It then goes on to discuss Friedmann models, the Hubble constant and deceleration parameter, singularities, the early universe, inflation, quantum cosmology and the distant future of the universe. This new edition contains a rigorous derivation of the Robertson-Walker metric. It also discusses the limits to the parameter space through various theoretical and observational constraints, and presents a new inflationary solution for a sixth degree potential. This book is suitable as a textbook for advanced undergraduates and beginning graduate students. It will also be of interest to cosmologists, astrophysicists, applied mathematicians and mathematical physicists.
 

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Contents

III
1
IV
12
V
18
VI
21
VII
24
VIII
28
IX
32
X
37
XL
122
XLI
126
XLII
128
XLIII
135
XLIV
142
XLV
143
XLVI
148
XLVII
153

XI
42
XII
45
XIII
51
XIV
53
XV
60
XVI
64
XVII
67
XVIII
68
XX
71
XXI
73
XXII
76
XXIV
77
XXV
80
XXVI
85
XXVII
90
XXVIII
94
XXIX
98
XXX
100
XXXI
102
XXXII
104
XXXIII
107
XXXIV
112
XXXV
113
XXXVI
115
XXXVII
118
XXXVIII
120
XXXIX
121
XLVIII
159
XLIX
164
L
166
LI
167
LII
174
LIII
178
LIV
180
LV
183
LVI
186
LVII
189
LVIII
191
LIX
195
LX
197
LXI
199
LXIII
201
LXIV
202
LXV
206
LXVI
209
LXVII
211
LXVIII
213
LXIX
215
LXX
216
LXXI
218
LXXII
220
LXXIII
238
LXXIV
247
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About the author (2002)

Jamal Nazrul Islam received his PhD and ScD from the University of Cambridge. In 1984 he became Professor of Mathematics at the University of Chittagong, Bangladesh and is currently Director of the Research Centre for Mathematical and Physical Sciences, University of Chittagong. Professor Islam has held research positions in university departments and institutes throughout the world, and has published numerous papers on quantum field theory, general relativity and cosmology. He has also written and contributed to several books.

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