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Title: Spacetime: Foundations of General Relativity and Differential Geometry (Lecture Notes in Physics. New Series M., 59) by Marcus Kriele, W. Beiglbock, R. Beig, J. Ehlers, U. Frisch, K. Hepp, R. L. Jaffe, R. Kippenhahn, I. Ojima, H. A. Weidenmuller ISBN: 3-540-66377-0 Publisher: Springer Verlag Pub. Date: 15 November, 1999 Format: Hardcover Volumes: 1 List Price(USD): $93.00

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Average Customer Rating: 3.5 (2 reviews)

Rating: 2
Summary: Typing errors
Comment: I have been reading the 1999 editions and I hoped that new editions have shown up. This book is very concise and clear. However, typing errors occur in ALMOST EVERY PAGE!! When it comes to something that I really do not understand, I have to place brute force in order to figure out if it is typing error or not.

Rating: 5
Summary: Differential geometry, ralativity, and cosmology together.
Comment: 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.

Please take a look at the rest of my reviews (just click on my name above).