## Introduction to the relativity principleRelativity, almost a hundred years old in its classic Einsteinian form, is one of the most fascinating threads running through science from Galileo's day to ours. This book, based on a short course at the University of Sussex, presents relativity as a natural outgrowth of dynamics: the concepts are introduced through careful physical reasoning and simple mathematics, and are then applied over a wide range, well meshed with current undergraduate syllabuses. Features * An accessible introduction through pre-Einstein relativity * Scrupulously assessed experimental evidence (mostly modern) * Elementary mathematics, aimed at a working acquaintance with kinematics, energy and momentum conservation, and the propagation of plane waves * The book includes many carefully chosen examples and student problems Introduction to the Relativity Principle is suitable for undergraduates studying physics, also as a preliminary to more formal courses designed for mathematicians. |

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### Contents

The Relativity Principle and its Applications in Newtonian Physics | 11 |

Einsteins Relativity Principle | 37 |

Lorentz Transformations | 53 |

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acceleration angle approximate atoms axes axis beam Calculate called Chapter clock collinear collisions components conservation laws consider constant coordinates decay defined derive determine dilation direction dispersion relation distance Doppler effect earth Einsteinian Einsteinian physics electromagnetic electron emitted entails equal equation evidence Example expression fact Figure form-invariant four-momentum four-scalar four-vector four-velocity frequency function Galilean transformations given group velocity Hence inertial frame interval invariant speed inverse kinetic energy laboratory frame light cone Lorentz contraction Lorentz transformations mass measured medium mesons momentum motion moving Newton's Newtonian physics nonrelativistic observed orbit parallel particle velocities phase velocity photons plane waves positive primed and unprimed problem ratio relative velocity relativistic relativity principle respect rest frame result rotation scattering Section shows signals Solution space space-time diagrams spacelike standard configuration theory three-momentum timelike trajectory transformation rules variables vector velocity-combination rule wavelength whence yields zero