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## Details

Genre/Form: | Electronic books |
---|---|

Additional Physical Format: | Print version: Corben, H.C. Classical Mechanics : 2nd Edition. Newburyport : Dover Publications, ©2013 |

Material Type: | Document, Internet resource |

Document Type: | Internet Resource, Computer File |

All Authors / Contributors: |
H C Corben; Philip Stehle |

ISBN: | 9780486140780 0486140784 |

OCLC Number: | 898771601 |

Notes: | 70. integral invariants and liouville's theorem. |

Description: | 1 online resource (711 pages) |

Contents: | Dover Books on Mathematics; Title Page; Copyright Page; PREFACE; Table of Contents; 1 KINEMATICS OF PARTICLES; 1. INTRODUCTION; 2. DEFINITION AND DESCRIPTION OF PARTICLES; 3. VELOCITY; 4. ACCELERATION; 5. SPECIAL COORDINATE SYSTEMS; 6. VECTOR ALGEBRA; 7. KINEMATICS AND MEASUREMENT; GENERAL REFERENCES; EXERCISES; 2 THE LAWS OF MOTION; 8. MASS; 9. MOMENTUM AND FORCE; 10. KINETIC ENERGY; 11. POTENTIAL ENERGY; 12. CONSERVATION OF ENERGY; 13. ANGULAR MOMENTUM; 14. RIGID BODY ROTATING ABOUT A FIXED POINT; 15. A THEOREM ON QUADRATIC FUNCTIONS; 16. INERTIAL AND GRAVITATIONAL MASSES. General referencesexercises; 3 conservative systems with one degree of freedom; 17. the oscillator; 18. the plane pendulum; 19. child-langmuir law; exercises; 4 two-particle systems; 20. introduction; 21. reduced mass; 22. relative kinetic energy; 23. laboratory and center-of-mass systems; 24. central motion; exercises; 5 time-dependent forces and nonconservative motion; 25. introduction; 26. the inverted pendulum; 27. rocket motion; 28. atmospheric drag; 29. the poynting-robertson effect; 30. the damped oscillator; exercises; 6 lagrange's equations of motion. 31. derivation of lagrange's equations32. the lagrangian function; 33. the jacobian integral; 34. momentum integrals; 35. charged particle in an electromagnetic field; general references; exercises; 7 applications of lagrange's equations; 36. orbits under a central force; 37. kepler motion; 38. rutherford scattering; 39. the spherical pendulum; 40. larmor's theorem; 41. the cylindrical magnetron; exercises; 8 small oscillations; 42. oscillations of a natural system; 43. systems with few degrees of freedom; 44. the stretched string, discrete masses. 45. reduction of the number of degrees of freedom46. laplace transforms and dissipative systems; general references; exercises; 9 rigid bodies; 47. displacements of a rigid body; 48. euler's angles; 49. kinematics of rotation; 50. the momental ellipsoid; 51. the free rotator; 52. euler's equations of motion; general references; exercises; 10 hamiltonian theory; 53. hamilton's equations; 54. hamilton's equations in various coordinate systems; 55. charged particle in an electromagnetic field; 56. the virial theorem; 57. variational principles; 58. contact transformations. 59. alternative forms of contact transformations60. alternative forms of the equations of motion; general references; exercises; 11 the hamilton-jacobi method; 61. the hamilton-jacobi equation; 62. action and angle variables-periodic systems; 63. separable multiply-periodic systems; 64. applications; general references; exercises; 12 infinitesimal contact transformations; 65. transformation theory of classical dynamics; 66. poisson brackets; 67. jacobi's identity; 68. poisson brackets in quantum mechanics; exercises; 13 further development of transformation theory; 69. notation. |

Series Title: | Dover books on physics. |

More information: |

### Abstract:

Applications not usually taught in physics courses include theory of space-charge limited currents, atmospheric drag, motion of meteoritic dust, variational principles in rocket motion, transfer functions, much more. 1960 edition.

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