Item description for Spacetime: Foundations of General Relativity and Differential Geometry (Lecture Notes in Physics Monographs) by Marcus Kriele, W. Beiglbock, R. Beig, J. Ehlers, U. Frisch, K. Hepp & R. L. Jaffe...
This textbook is for mathematicians and mathematical physicists and is mainly concerned with the physical justification of both the mathematical framework and the foundations of the theory of general relativity. Previous knowledge of the relevant physics is not assumed. This book is also suitable as an introduction to pseudo-Riemannian geometry with emphasis on geometrical concepts. A significant part of the text is devoted to the discussion of causality and singularity theorems. The insights obtained are applied to black hole astrophysics, thereby making the connection to current active research in mathematical physics and cosmology.
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Est. Packaging Dimensions: Length: 0.75" Width: 6.5" Height: 9.5" Weight: 1.65 lbs.
Release Date Nov 9, 2001
ISBN 3540663770 ISBN13 9783540663775
Availability 77 units. Availability accurate as of Oct 25, 2016 11:56.
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More About Marcus Kriele, W. Beiglbock, R. Beig, J. Ehlers, U. Frisch, K. Hepp & R. L. Jaffe
Reviews - What do customers think about Spacetime: Foundations of General Relativity and Differential Geometry (Lecture Notes in Physics Monographs)?
Typing errors Dec 13, 2003
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.
Differential geometry, ralativity, and cosmology together. Jun 22, 2000
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).