J.N.Islam – 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 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. Book Description This book provides a concise introduction to the mathematical aspects of the origin, structure and evolution of the universe. After a brief overview of cosmology and general relativity, the book moves on to discuss more advanced topics. This new edition takes into account the advances that have been made in the field in recent years, and includes much new material. Suitable as a textbook for beginning graduate students, the book will also be of interest to cosmologists, astrophysicists, applied mathematicians and mathematical physicists.