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Introduction To Spacetime

A First Course on Relativity

Introduction To Spacetime
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The theory of relativity is tackled directly in this book, dispensing with the need to establish the insufficiency of Newtonian mechanics. This book takes advantage from the start of the geometrical nature of the relativity theory. The reader is assumed to be familiar with vector calculus in ordinary three-dimensional Euclidean space.

Contents: Principles. Basic Applications: Clocks and Acceleration; Vector Algebra; Vector Characteristics; Simultaneity and Space Distance; Linear Independence; Relative Velocity and Four-Velocity; Two-Dimensional Spacetime; Plane Waves; Particle Reactions; Curved World Lines; Tensors: Definition and Examples; Algebraic Properties; Tensor Fields; Spacetime Volumes; Currents; Electrodynamics: Sourcefree Electromagnetism; Electro-Magnetism with Sources; Solution of the Wave Equation.

Readership: Undergraduates and graduates in astronomy and astrophysics.