An Introduction to Mathematical Cosmology

2. Auflage 2016
ISBN: 978-0-521-49650-6
Verlag: Cambridge University Press

Buch, Englisch, 262 Seiten, Format (B × H): 157 mm x 235 mm, Gewicht: 538 g

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.

Autoren/Hrsg.

Islam, J. N.

Fachgebiete

• Mathematik | Informatik EDV | Informatik Professionelle Anwendung Computer-Aided Design (CAD)
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Computeranwendungen in der Mathematik
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Naturwissenschaften Astronomie Galaxien und Sterne
• Naturwissenschaften Astronomie Kosmologie, Urknalltheorie
• Technische Wissenschaften Technik Allgemein Computeranwendungen in der Technik
• Mathematik | Informatik EDV | Informatik Angewandte Informatik Computeranwendungen in Wissenschaft & Technologie
• Naturwissenschaften Astronomie Astronomie: Allgemeines
• Naturwissenschaften Physik Angewandte Physik Astrophysik
• Naturwissenschaften Astronomie Astrophysik

Inhaltsverzeichnis

Preface to first edition; Preface to second edition; 1. Some basic concepts and an overview of cosmology; 2. Introduction to general relativity; 3. The Robertson-Walker metric; 4. The Friedmann models; 5. The Hubble constant and the deceleration parameter; 6. Models with a cosmological constant; 7. Singularities in cosmology; 8. The early universe; 9. The very early universe and inflation; 10. Quantum cosmology; 11. The distant future of the universe; Appendix.

Über Autor(innen)

Islam, J. N.
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.