{"product_id":"classical-mechanics-2nd-edition","title":"Classical Mechanics: 2nd Edition","description":"\n\u003ctable align=\"center\" border=\"0\" cellpadding=\"2\" cellspacing=\"0\" width=\"100%\"\u003e\n\u003ctr\u003e\n\u003ctd class=\"productDetailSmallElements\"\u003e\n\u003cp\u003e\n\u003cstrong\u003eMarc Notes\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tOriginally published: 2nd ed. New York: Wiley, 1960.; Includes bibliographical references and index.\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003eTable of Contents\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tChapter 1. Kinematics of Particles \n\u003cbr\u003e1. Introduction \n\u003cbr\u003e2. Definition and Description of Particles \n\u003cbr\u003e3. Velocity \n\u003cbr\u003e4. Acceleration \n\u003cbr\u003e5. Special Coordinate Systems \n\u003cbr\u003e6. Vector Algebra \n\u003cbr\u003e7. Kinematics and Measurement \n\u003cbr\u003e Exercises \n\u003cbr\u003eChapter 2. The Laws of Motion \n\u003cbr\u003e8. Mass \n\u003cbr\u003e9. Momentum and Force \n\u003cbr\u003e10. Kinetic Energy \n\u003cbr\u003e11. Potential Energy \n\u003cbr\u003e12. Conservation of Energy \n\u003cbr\u003e13. Angular Momentum \n\u003cbr\u003e14. Rigid Body Rotating about a Fixed Point \n\u003cbr\u003e15. A Theorem on Quadratic Functions \n\u003cbr\u003e16. Inertial and Gravitational Masses \n\u003cbr\u003e Exercises \n\u003cbr\u003eChapter 3. Conservative Systems with One Degree of Freedom \n\u003cbr\u003e17. The Oscillator \n\u003cbr\u003e18. The Plan Pendulum \n\u003cbr\u003e19. Child-Langmuir Law \n\u003cbr\u003e Exercises \n\u003cbr\u003eChapter 4. Two-Particle Systems \n\u003cbr\u003e20. Introduction \n\u003cbr\u003e21. Reduced Mass \n\u003cbr\u003e22. Relative Kinetic Energy \n\u003cbr\u003e23. Laboratory and Center-of-Mass Systems \n\u003cbr\u003e24. Central Motion \n\u003cbr\u003e Exercises \n\u003cbr\u003eChapter 5. Time-Dependent Forces and Nonconservative Motion \n\u003cbr\u003e25. Introduction \n\u003cbr\u003e26. The Inverted Pedulum \n\u003cbr\u003e27. Rocket Motion \n\u003cbr\u003e28. Atmospheric Drag \n\u003cbr\u003e29. The Poynting-Robertson Effect \n\u003cbr\u003e30. The Damped Oscillator \n\u003cbr\u003e Exercises \n\u003cbr\u003eChapter 6. Lagrange's Equations of Motion \n\u003cbr\u003e31. Derivation of Lagrange's Equations \n\u003cbr\u003e32. The Lagrangian Function \n\u003cbr\u003e33. The Jacobian Integral \n\u003cbr\u003e34. Momentum Integrals \n\u003cbr\u003e35. Charged Particle in an Electromagnetic Field \n\u003cbr\u003e Exercises \n\u003cbr\u003eChapter 7. Applications of Lagrange's Equations \n\u003cbr\u003e36. Orbits under a Central Force \n\u003cbr\u003e37. Kepler Motion \n\u003cbr\u003e38. Rutherford Scattering \n\u003cbr\u003e39. The Spherical Pendulum \n\u003cbr\u003e40. Larmor's Theorem \n\u003cbr\u003e41. The Cylindrical Magnetron \n\u003cbr\u003e Exercises \n\u003cbr\u003eChapter 8. Small Oscillations \n\u003cbr\u003e42. Oscillations of a Natural System \n\u003cbr\u003e43. Systems with Few Degrees of Freedom \n\u003cbr\u003e44. \"The Stretched String, Discrete Masses\" \n\u003cbr\u003e45. Reduction of the Number of Degrees of Freedom \n\u003cbr\u003e46. Laplace Transforms and Dissipative Systems \n\u003cbr\u003e Exercises \n\u003cbr\u003eChapter 9. Rigid Bodies \n\u003cbr\u003e47. Displacements of a Rigid Body \n\u003cbr\u003e48. Euler's Angles \n\u003cbr\u003e49. Kinematics of Rotation \n\u003cbr\u003e50. The Momental Ellipsoid \n\u003cbr\u003e51. The Free Rotator \n\u003cbr\u003e52. Euler's Equations of Motion \n\u003cbr\u003e Exercises \n\u003cbr\u003eChapter 10. Hamiltonian Theory \n\u003cbr\u003e53. Hamilton's Equations \n\u003cbr\u003e54. Hamilton's Equations in Various Coordinate Systems \n\u003cbr\u003e55. Charged Particle in an Electromagnetic Field \n\u003cbr\u003e56. The Virial Theorem \n\u003cbr\u003e57. Variational Principles \n\u003cbr\u003e58. Contact Transformations \n\u003cbr\u003e59. Alternative Forms of Contact Transformations \n\u003cbr\u003e60. Alternative Forms of the Equations of Motion \n\u003cbr\u003e Exercises \n\u003cbr\u003eChapter 11. The Hamilton-Jacobi Method \n\u003cbr\u003e61. The Hamilton-Jacobi Equation \n\u003cbr\u003e62. Action and Angle Variables-Periodic Systems \n\u003cbr\u003e63. Separable Mulitply-Periodic Systems \n\u003cbr\u003e64. Applications \n\u003cbr\u003e Exercises \n\u003cbr\u003eChapter 12. Infinitesimal Contact Transformations \n\u003cbr\u003e65. Transformation Theory of Classical Dynamics \n\u003cbr\u003e66. Poisson Brackets \n\u003cbr\u003e67. Jacobi's Identity \n\u003cbr\u003e68. Poisson Brackets in Quantum Mechanics \n\u003cbr\u003e Exercises \n\u003cbr\u003eChapter 13. Further Development of Transformation Theory \n\u003cbr\u003e69. Notation \n\u003cbr\u003e70. Integral Invariants and Liouville's Theorem \n\u003cbr\u003e71. Lagrange Brackets \n\u003cbr\u003e72. Change of Independent Variable \n\u003cbr\u003e73. Extended Contact Transformations \n\u003cbr\u003e74. Perturbation Theroy \n\u003cbr\u003e75. Stationary State Perturbation Theory \n\u003cbr\u003e76. Time-Dependent Perturbation Theory \n\u003cbr\u003e77. Quasi Coordinates and Quasi Momenta \n\u003cbr\u003e Exercises \n\u003cbr\u003eChapter 14. Special Applications \n\u003cbr\u003e78. Noncentral Forces \n\u003cbr\u003e79. Spin Motion \n\u003cbr\u003e80. Variational Principles in Rocket Motion \n\u003cbr\u003e81. The Boltzmann and Navier-Stokes Equations \n\u003cbr\u003eChapter 15. Continuous Media and Fields \n\u003cbr\u003e82. The Stretched String \n\u003cbr\u003e83. Energy-Momentum Relations \n\u003cbr\u003e84. Three-Dimensional Media and Fields \n\u003cbr\u003e85. Hamiltonian Form of Field Theory \n\u003cbr\u003e Exercises \n\u003cbr\u003eChapter 16. Introduction to Special Relativity Theory \n\u003cbr\u003e86. Introduction \n\u003cbr\u003e87. Space-Time and Lorentz Transformation \n\u003cbr\u003e88. The Motion of a Free Particle \n\u003cbr\u003e89. Charged Particle in an Electromagnetic Field \n\u003cbr\u003e90. Hamiltonian Formulation of the Equations of Motion \n\u003cbr\u003e91. Transformation Theory and the Lorentz Group \n\u003cbr\u003e92. Thomas Precession \n\u003cbr\u003e Exercises \n\u003cbr\u003eChapter 17. The Orbits of Particles in High Energy Accelerators \n\u003cbr\u003e93. Introduction \n\u003cbr\u003e94. Equilibrium Orbits \n\u003cbr\u003e95. Betatron Oscillations \n\u003cbr\u003e96. Weak Focusing Accelerators \n\u003cbr\u003e97. Strong Focusing Accelerators \n\u003cbr\u003e98. Acceleration and Synchrotron Oscillations \n\u003cbr\u003eAppendix I Riemannian Geometry \n\u003cbr\u003eAppendix II Linear Vector Spaces \n\u003cbr\u003eAppendix III Group Theory and Molecular Vibrations \n\u003cbr\u003eApendix IV Quaternions and Pauli Spin Matrices \n\u003cbr\u003eIndex \n\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\n\u003cstrong\u003ePublisher Marketing\u003c\/strong\u003e:\u003cbr\u003e\n\t\t\t\t\t\t\t\tClassical mechanics is the study of the motion of particles and rigid bodies under the influence of given forces. It applies to the enormous range of motions between the atomic scale, where quantum effects dominate, and the cosmological scale, where general relativity provides the framework. Coupled with classical electromagnetic theory it provides the basis for sophisticated technologies such as plasma physics, accelerator design, space technology, and more. \n\u003cbr\u003eIn this edition, the authors have included the fundamental subjects of Lagrangian mechanics, Hamiltonian mechanics, rigid-body motion, action-angle variables, perturbation theory, and motion with speeds approaching that of light, showing how these theories can be applied to a variety of problems. They treat central motion, the motion of planets and satellites, in detail. They also develop the theory of small vibrations governing resonant systems of all kinds, analyze the motion of particles in high energy accelerators and describe the motion of spinning systems, important for space technology. Nonstandard topics like the Navier-Stokes equation and the inverted pendulum are included. \n\u003cbr\u003eA number of exercises are provided and most chapters contain references to relevant books and other literature. \n\u003cbr\u003e\u003cbr\u003e\u003cbr\u003e\n\u003c\/p\u003e\n\u003cbr\u003e\n\u003cbr\u003e\n\u003c\/td\u003e\n\u003c\/tr\u003e\n\u003c\/table\u003e\n","brand":"Dover Publications","offers":[{"title":"Default Title","offer_id":46431149064323,"sku":"SPTM-9780486680637","price":17.95,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0564\/6830\/8099\/files\/9780486680637_spiral.png?v=1769660320","url":"https:\/\/sebink.com\/products\/classical-mechanics-2nd-edition","provider":"Sebink","version":"1.0","type":"link"}