Mathematical cosmology

the long version

Cosmology is a subject of much scientific and philosophical interest, but accounts are usually either non-mathematical or fully relativistic. This book seeks to give readers a quantitative understanding of some important aspects of general relativistic cosmology starting only with mathematics and Newtonian ideas in physics. The book is concerned mainly with various models that have been proposed to explain the large-scale structure of the universe: the Friedmann models, steady-state models, and model universes involving pressure. Topics also covered include special relativity, red-shift magnitude relations, radio source counts, Olbers' paradox, horizons, and cosmological coincidences.