General Relativity for Mathematicians (Graduate Texts in Mathematics) [Hardcover]

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

Product Details

• Hardcover: 291 pages
• Publisher: Springer; 1 edition (February 7, 1983)
• Language: English
• ISBN-10: 038790218X
• ISBN-13: 978-0387902180
• Average Customer Review: 4.7 out of 5 stars  See all reviews (3 customer reviews)
• Amazon Best Sellers Rank: #1,688,113 in Books (See Top 100 in Books)

Customer Reviews

Most Helpful Customer Reviews

14 of 15 people found the following review helpful:

5.0 out of 5 stars Outstanding math/physics text, October 24, 2003

By 

topoman "topoman" (Newark, California USA) - See all my reviews

This review is from: General Relativity for Mathematicians (Graduate Texts in Mathematics) (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.

11 of 12 people found the following review helpful:

4.0 out of 5 stars As the title says...., January 25, 2002

By 

Dr. Lee D. Carlson (Baltimore, Maryland USA) - See all my reviews
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This review is from: General Relativity for Mathematicians (Graduate Texts in Mathematics) (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.

5 of 5 people found the following review helpful:

5.0 out of 5 stars unique and fundemental viewpoint, April 22, 2008

By 

Scott (New Jersey, USA) - See all my reviews

This review is from: General Relativity for Mathematicians (Graduate Texts in Mathematics) (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.