## The Special Theory of Relativity: Foundations, Theory, Verification, ApplicationsThis book offers a comprehensive, university-level introduction to Einstein’s Special Theory of Relativity. In addition to the purely theoretical aspect, emphasis is also given to its historical development as well as to the experiments that preceded the theory and those performed in order to test its validity.The main body of the book consists of chapters on Relativistic Kinematics and Dynamics and their applications, Optics and Electromagnetism. These could be covered in a one-semester course. A more advanced course might include the subjects examined in the other chapters of the book and its appendices.As a textbook, it has some unique characteristics: It provides detailed proofs of the theorems, offers abundant figures and discusses numerous examples. It also includes a number of problems for readers to solve, the complete solutions of which are given at the end of the book.It is primarily intended for use by university students of physics, mathematics and engineering. However, as the mathematics needed is of an upper-intermediate level, the book will also appeal to a more general readership. |

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### Contents

1 | |

2 Prolegomena | 47 |

3 Relativistic Kinematics | 60 |

4 Applications of Relativistic Kinematics | 97 |

5 Optical Phenomena | 139 |

6 Relativistic Dynamics | 163 |

7 Applications of Relativistic Dynamics | 212 |

8 Minkowskis Spacetime and FourVectors | 243 |

Appendix 1
The Paradox of the Room and the Rod | 321 |

Appendix 2
The Appearance of Moving Bodies | 324 |

Appendix 3 The Derivation of the Expressionfor the Relativistic Massin the General Case | 333 |

Appendix 4
The Invariance of the Equationsof Maxwell and the Wave Equation Underthe Lorentz Transformation | 337 |

Appendix 5
Tachyons | 354 |

Appendix 6
The Lorentz Transformation in MatrixForm | 359 |

Appendix 7
Table of Some Functions of the Speed | 369 |

Solutions to the Problems | 373 |

### Other editions - View all

The Special Theory of Relativity: Foundations, Theory, Verification ... Costas Christodoulides No preview available - 2016 |

### Common terms and phrases

¼ V^x aether angle atoms axes beam body charge q clock collision components constant velocity corresponding cosh ð Þ difference direction of motion distance Doppler effect Dt ¼ Earth electric field electromagnetic electron emitted equal experiment F ¼ ffiffiffiffiffiffiffiffiffiffiffi ffiffiffiffiffiffiffiffiffiffiffiffiffi four-vector frame of reference frame S0 frequency h ¼ inertial frame interferometer invariant kinetic energy laboratory frame laws of conservation length light in vacuum Lorentz factor Lorentz transformation magnetic field magnitude Maxwell’s equations mean lifetime measured Michelson moves with speed muons nucleus observer orbit particle photon Phys pion positive proper acceleration pulse radius relativistic mass respectively rest mass rocket rotation Sagnac effect ſº Solution spaceship Special Theory speed of light star stationary t0 ¼ tachyon Theory of Relativity threshold energy vector velocity V ¼ wavelength x-axis zero zero-momentum frame