This book provides a lucid introduction to both modern differential
geometry and relativity for advanced undergraduates and first-year
graduate students of applied mathematics and physical sciences.
This book meets an overwhelming need for a book on modern
differential geometry and relativity that is student-friendly, and
which is also suitable for self-study. The book presumes a minimal
level of mathematical maturity so that any student who has
completed the standard Calculus sequence should be able to read and
understand the book. The key features of the book are: Detailed
solutions are provided to the Exercises in each chapter; Many of
the missing steps' that are often omitted from standard
mathematical derivations have been provided to make the book easier
to read and understand; A detailed introduction to Electrodynamics
is provided so that the book is accessible to students who have not
had a formal course in this area; In its treatment of modern
differential geometry, the book employs both a modern,
co-ordinate-free approach, and the standard co-ordinate-based
approach. This makes the book attractive to a large audience of
readers. Also, the book is particularly attractive to professional
non-specialists who would like an easy to read introduction to the
subject.
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