[PDF] An Introduction to Mathematical Cosmology by J.N Islam
An Introduction to Mathematical Cosmology by J.N Islam 2nd Edition
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 to 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.
[PDF] An Introduction to Mathematical Cosmology by J.N Islam Table Of Contents
An Introduction.to.Mathematical.Cosmology……Page 1
Preface to the first edition……Page 11
Preface to the second edition……Page 13
1 Some basic concepts and an overview of cosmology……Page 17
2 Introduction to general relativity……Page 28
3 The Robertson–Walker metric……Page 53
4 The Friedmann models……Page 76
5 The Hubble constant and the deceleration parameter……Page 91
6 Models with a cosmological constant……Page 109
7 Singularities in cosmology……Page 127
8 The early universe……Page 144
9 The very early universe and inflation……Page 182
10 Quantum cosmology……Page 204
11 The distant future of the universe……Page 227
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