## Mechanics: Volume 1, Band 1Devoted to the foundation of mechanics, namely classical Newtonian mechanics, the subject is based mainly on Galileo's principle of relativity and Hamilton's principle of least action. The exposition is simple and leads to the most complete direct means of solving problems in mechanics. The final sections on adiabatic invariants have been revised and augmented. In addition a short biography of L D Landau has been inserted. |

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### Inhalt

Chapter 1 The Equations of Motion | 1 |

Chapter 2 Conservation Laws | 13 |

Chapter 3 Integration of the Equations of Motion | 25 |

Chapter 4 Collisions Between Particles | 41 |

Chapter 5 Small Oscillations | 58 |

Chapter 6 Motion of a Rigid Body | 96 |

Chapter 7 The Canonical Equations | 131 |

168 | |

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### Häufige Begriffe und Wortgruppen

according action amplitude angle angular momentum angular velocity arbitrary axes axis becomes body calculation called canonical centre of mass closed co-ordinates complete components condition conservation consider constant corresponding deﬁned degrees of freedom depends derivative Determine differential direction distance effective equal equations of motion evident example expression external ﬁeld ﬁnd ﬁrst ﬁxed follows force formula frame frequency function given gives Hence homogeneous homogeneous function independent inertia integral kinetic energy Lagrangian Landau linear means mechanical momenta moving obtain origin oscillations parameter particle particular path period phase physics plane position possible potential energy principle PROBLEM properties quantities reference relation relative remain replaced resonance respect result rotation scattering shows side simply SOLUTION space substituting symmetrical taken theory tion transformation variables variation varies vector zero