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TLFeBOOK
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TLFeBOOK
AN INTRODUCTION TO MATHEMATICAL
COSMOLOGY
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 undergradu-
ates and beginning graduate students. It will also be of interest to
cosmologists, astrophysicists, applied mathematicians and
mathematical physicists.
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.
TLFeBOOK
 TLFeBOOK
AN INTRODUCTION TO
MATHEMATICAL
COSMOLOGY
Second edition
J. N. ISLAM
Research Centre for Mathematical and Physical Sciences,
University of Chittagong, Bangladesh
TLFeBOOK
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