This book deals with the physical justification of the mathematical framework involved in the modern and highly sophisticated theories of the structure of the universe.

The book seems to have been written for working physicists and mathematicians, and maybe for graduate students, but I think most of the material of the first 5 chapters could find a place in undergraduate curricula.

There are some other regarded texts treating this same subjects, but this one attempts to ensure that the mathematical description mirrors the physical concepts involved, so this approach also leads to a careful treatment of the structural aspects of mathematics.

The contents are: Local Theory of Space and Time; Analysis on Manifolds; Space and Time from a Global Point of View; Pseudo-Riemannian Manifolds; General Relativity; Robertson-Walker Cosmology; Spherical Symmetry; Causality; Singularity Theorems.

Includes an extensive list of references and a system of guidelines to read the book, because the author states that it is not meant to be read in the same order as it is written.

Very useful as a reference.

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