##
Differential Forms and the Geometry of General Relativity

This 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.

*Differential Forms and the Geometry of General Relativity*

Tevian Dray

A K Peters/CRC Press (c)2014

ISBN: 978-1-4665-1000-5

(publisher website,
Amazon)

### Resources

The resources below have been developed for the two-term sequence on
Diffferential Forms and General Relativity at OSU, which runs for a total of
20 weeks, with three hours of instruction per week.

### Course overview

Course homepages are available separately for
Differential Forms and
General Relativity.
The homepages include a syllabus and schedule, complete with links to a
(prepublication) wiki version of the text material.

### Wiki

A prepublication version of the book in wiki format is available in two parts,
for Differential Forms
and General Relativity.

### Feedback and Updates

Feedback can be sent to the author via email at the address below.
Updates and further discussion of selected topics will be posted
here.

### Errata

A list of known errors in the print version of the book will be maintained
here.
(Typos will be fixed in the wiki version of the book, which however does not
contain all of the edits in the printed version.)

*
Tevian Dray
*

books at geometryof dot org