General Relativity for Mathematicians (Graduate Texts in Mathematics) Softcover reprint of the original 1st ed. 1977 Edition

by R.K. Sachs (Author), H.-H. Wu (Author)

3 customer reviews

ISBN-13: 978-1461299059

ISBN-10: 1461299055

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This is a book about physics, written for mathematicians. The readers we have in mind can be roughly described as those who: I. are mathematics graduate students with some knowledge of global differential geometry 2. have had the equivalent of freshman physics, and find popular accounts of astrophysics and cosmology interesting 3. appreciate mathematical elarity, but are willing to accept physical motiva tions for the mathematics in place of mathematical ones 4. are willing to spend time and effort mastering certain technical details, such as those in Section 1. 1. Each book disappoints so me readers. This one will disappoint: 1. physicists who want to use this book as a first course on differential geometry 2. mathematicians who think Lorentzian manifolds are wholly similar to Riemannian ones, or that, given a sufficiently good mathematical back ground, the essentials of a subject !ike cosmology can be learned without so me hard work on boring detaiis 3. those who believe vague philosophical arguments have more than historical and heuristic significance, that general relativity should somehow be "proved," or that axiomatization of this subject is useful 4. those who want an encyclopedic treatment (the books by Hawking-Ellis [1], Penrose [1], Weinberg [1], and Misner-Thorne-Wheeler [I] go further into the subject than we do; see also the survey article, Sachs-Wu [1]). 5. mathematicians who want to learn quantum physics or unified fieId theory (unfortunateIy, quantum physics texts all seem either to be for physicists, or merely concerned with formaI mathematics).

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Product details

Series: Graduate Texts in Mathematics (Book 48)
Paperback: 292 pages
Publisher: Springer; Softcover reprint of the original 1st ed. 1977 edition (January 24, 2012)
Language: English
ISBN-10: 1461299055
ISBN-13: 978-1461299059
Product Dimensions: 6.1 x 0.7 x 9.2 inches
Shipping Weight: 1.2 pounds (View shipping rates and policies)
Average Customer Review: 3 customer reviews
Amazon Best Sellers Rank: #1,826,616 in Books (See Top 100 in Books)
- #246 in Books > Science & Math > Physics > Gravity
- #1322 in Books > Science & Math > Physics > Mathematical Physics
- #4540 in Books > Textbooks > Science & Mathematics > Physics

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Scott

unique and fundemental viewpoint

April 22, 2008

Format: Hardcover

As a student of physics, I'm always plagued by the presentation of any modern physics. Questions of "where does this come from" or "what does this mean" are never answered and rather students are expected to simply work calculations until those questions fade away, answered (or rather unanswered) by a new familiarity with just how to do calculations. It is as if understanding the theory was only a means to an end.

Anyway, this book went a long way for presenting the material in a way that satisfies those questions. Even if the answer is just "it seems somewhat plausible to define something that way based on what we observe experimentally", the book actually gets down to it and says that and defines it -- rather than just assuming that you knew it was obvious to describe particles using a mass density function, for example.

Also, the book actually covers not just GR, but also electrodynamics (the foundational way) and also matter models. It's worth it just for the chapter on matter.

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As the title says....

January 25, 2002

Format: Hardcover

It is too bad this book is out of print, as it is nicely written and addresses a mathematically sophisticated reader with a solid background in differential geometry. It is written by two very competent mathematicians, and still could be read as background for more modern developments in general relativity, particularly singularity theorems and as mathematical preparation to the current research in quantization of gravity. It could serve as a textbook in a class the mathematical foundations of general relativity at the graduate level.

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topoman

Outstanding math/physics text

October 24, 2003

Format: Hardcover

I took the course on which this book is based from Mr. Sachs at UC Berkeley when the book was in the form of printed handouts.
This book is aimed at readers with a fairly advanced level of mathematical background - differentiable manifolds and some basic riemannian geometry (e.g Warner "Differential Manifolds"). This background is assumed and a prospective reader without this knowledge would be well advised to use the Hawking and Ellis book The Large Scale Structure of Space-Time (Cambridge Monographs on Mathematical Physics) as a companion volume.
Penrose's Techniques of Differential Topology in Relativity (CBMS-NSF Regional Conference Series in Applied Mathematics) (CBMS-NSF Regional Conference Series in Applied Mathematics) is also a good companion volume.

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General Relativity for Mathematicians (Graduate Texts in Mathematics) Softcover reprint of the original 1st ed. 1977 Edition

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