This compact guide presents the key features of general relativity,
to support and supplement the presentation in mainstream, more
comprehensive undergraduate textbooks, or as a re-cap of essentials
for graduate students pursuing more advanced studies. It helps
students plot a careful path to understanding the core ideas and
basics of differential geometry, as applied to general relativity,
without overwhelming them. While the guide doesn't shy away from
necessary technicalities, it emphasises the essential simplicity of
the main physical arguments. Presuming a familiarity with special
relativity (with a brief account in an appendix), it describes how
general covariance and the equivalence principle motivate
Einstein's theory of gravitation. It then introduces differential
geometry and the covariant derivative as the mathematical
technology which allows us to understand Einstein's equations of
general relativity. The book is supported by numerous worked
exampled and problems, and important applications of general
relativity are described in an appendix.
General
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