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.
General
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