## An introduction to tensor calculus, relativity, and cosmology |

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#### LibraryThing Review

User Review - JJMAlmeida - LibraryThingThis review is from: Introduction to Tensor Calculus, Relativity and Cosmology (Dover Books on Physics) (Paperback) This book is very good for those seeking an introduction to Tensor Calculus ... Read full review

### Contents

Orthogonal Transformations Cartesian Tensors | 21 |

Special Relativity Mechanics | 39 |

Special Relativity Electrodynamics | 73 |

Copyright | |

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### Common terms and phrases

4-velocity acceleration accordingly affinity angle assumed Atjk Calculate the component Cartesian coordinates constant contravariant vector coordinate frame cosmical cosmos covariant derivative covariant vector Deduce defined density differentiation displacement vector distance divergence electromagnetic field employed energy energy-momentum tensor equations of motion Euclidean expressed fluid follows force freely falling galaxies given by equation gravitational field hence indices inertial frame inertial mass interval invariant line of motion Lorentz transformation Maxwell's equations measured metric ds2 metric tensor mixed tensor momentum moving null geodesics obtain orthogonal transformations parallel displacement particle's photon physical plane principle prove pseudotensor pseudovector radiation radius rectangular Cartesian coordinates reference frame region relative respect rest mass m0 result Ricci tensor rotation scalar Schwarzschild Schwarzschild metric Show skew-symmetric space space-time speed standard clock stationary Suppose symmetric tensor equation theory transformation equations valid values vanish velocity world-line x-axis x-frame zero