This book provides an introduction to the theory of relativity and the
mathematics used in its processes. Three elements of the book make it
stand apart from previously published books on the theory of relativity.
First, the book starts at a lower mathematical level than standard books
with tensor calculus of sufficient maturity to make it possible to give
detailed calculations of relativistic predictions of practical
experiments. Self-contained introductions are given, for example vector
calculus, differential calculus and integrations. Second, in-between
calculations have been included, making it possible for the
non-technical reader to follow step-by-step calculations. Thirdly, the
conceptual development is gradual and rigorous in order to provide the
inexperienced reader with a philosophically satisfying understanding of
the theory.
The goal of this book is to provide the reader with a sound conceptual
understanding of both the special and general theories of relativity,
and gain an insight into how the mathematics of the theory can be
utilized to calculate relativistic effects.