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Differential Forms and the Geometry of General Relativity

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by Tevian Dray
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Differential Forms and the Geometry of General Relativity by Tevian Dray

Differential Forms and the Geometry of General Relativity provides readers with a coherent path to understanding relativity. Requiring little more than calculus and some linear algebra, it helps readers learn just enough differential geometry to grasp the basics of general relativity.

The book contains two intertwined but distinct halves. Designed for advanced undergraduate or beginning graduate students in mathematics or physics, most of the text requires little more than familiarity with calculus and linear algebra. The first half presents an introduction to general relativity that describes some of the surprising implications of relativity without introducing more formalism than necessary. This nonstandard approach uses differential forms rather than tensor calculus and minimizes the use of "index gymnastics" as much as possible.

The second half of the book takes a more detailed look at the mathematics of differential forms. It covers the theory behind the mathematics used in the first half by emphasizing a conceptual understanding instead of formal proofs. The book provides a language to describe curvature, the key geometric idea in general relativity.

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Ebook Details
Pages: 321
Size: 10.5 MB
Publisher: CRC Press
Date published:   2014
ISBN: 9781466510326 (DRM-PDF)

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This product is listed in the following categories:

Nonfiction > Science > Mathematical Physics
Nonfiction > Mathematics > Arithmetic
Nonfiction > Mathematics > Geometry

This author has products in the following categories:

Nonfiction > Science > Mathematical Physics
Nonfiction > Mathematics > Applied
Nonfiction > Mathematics > Geometry
Nonfiction > Mathematics > Arithmetic

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