hf6391964 2007-6-23 23:17
An Introduction to Mathematical Cosmology【Islam】2nd Ed
An Introduction to Mathematical Cosmology 2nd ed
jladam 2007-11-3 13:58
An Introduction to Mathematical Cosmology
By J. N. Islam
Publisher: Cambridge University Press
Number Of Pages: 262
Publication Date: 2001-12-15
Sales Rank: 1484826
ISBN / ASIN: 0521499739
EAN: 9780521499736
Binding: Paperback
Manufacturer: Cambridge University Press
Studio: Cambridge University Press
Average Rating: 4
Total Reviews: 2
Book Description:
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.
Contents:
1 Some basic concepts and an overview of cosmology 1
2 Introduction to general relativity 12
3 The Robertson-Walker metric 37
4 The Friedmann models 60
5 The Hubble constant and the deceleration parameter 76
6 Models with a cosmological constant 94
7 Singularities in cosmology 112
8 The early universe 128
9 The very early universe and inflation 166
10 Quantum cosmology 189
11 The distant future of the universe 211
