Classical Mechanics, Second Edition, 2nd Edition

Book description

Classical Mechanics, Second Edition presents a complete account of the classical mechanics of particles and systems for physics students at the advanced undergraduate level. The book evolved from a set of lecture notes for a course on the subject taught by the author at California State University, Stanislaus, for many years. It assumes the reader has been exposed to a course in calculus and a calculus-based general physics course. However, no prior knowledge of differential equations is required. Differential equations and new mathematical methods are developed in the text as the occasion demands.

The book begins by describing fundamental concepts, such as velocity and acceleration, upon which subsequent chapters build. The second edition has been updated with two new sections added to the chapter on Hamiltonian formulations, and the chapter on collisions and scattering has been rewritten. The book also contains three new chapters covering Newtonian gravity, the Hamilton-Jacobi theory of dynamics, and an introduction to Lagrangian and Hamiltonian formulations for continuous systems and classical fields. To help students develop more familiarity with Lagrangian and Hamiltonian formulations, these essential methods are introduced relatively early in the text.

The topics discussed emphasize a modern perspective, with special note given to concepts that were instrumental in the development of modern physics, for example, the relationship between symmetries and the laws of conservation. Applications to other branches of physics are also included wherever possible. The author provides detailed mathematical manipulations, while limiting the inclusion of the more lengthy and tedious ones. Each chapter contains homework problems of varying degrees of difficulty to enhance understanding of the material in the text. This edition also contains four new appendices on D'Alembert's principle and Lagrange's equations, derivation of Hamilton’s principle, Noether’s theorem, and conic sections.

Table of contents

  1. Front Cover (1/2)
  2. Front Cover (2/2)
  3. Contents (1/2)
  4. Contents (2/2)
  5. Preface
  6. Author
  7. Chapter 1 - Kinematics: Describing the Motion (1/5)
  8. Chapter 1 - Kinematics: Describing the Motion (2/5)
  9. Chapter 1 - Kinematics: Describing the Motion (3/5)
  10. Chapter 1 - Kinematics: Describing the Motion (4/5)
  11. Chapter 1 - Kinematics: Describing the Motion (5/5)
  12. Chapter 2 - Newtonian Mechanics (1/7)
  13. Chapter 2 - Newtonian Mechanics (2/7)
  14. Chapter 2 - Newtonian Mechanics (3/7)
  15. Chapter 2 - Newtonian Mechanics (4/7)
  16. Chapter 2 - Newtonian Mechanics (5/7)
  17. Chapter 2 - Newtonian Mechanics (6/7)
  18. Chapter 2 - Newtonian Mechanics (7/7)
  19. Chapter 3 - Integration of Newton’s Equation of Motion (1/6)
  20. Chapter 3 - Integration of Newton’s Equation of Motion (2/6)
  21. Chapter 3 - Integration of Newton’s Equation of Motion (3/6)
  22. Chapter 3 - Integration of Newton’s Equation of Motion (4/6)
  23. Chapter 3 - Integration of Newton’s Equation of Motion (5/6)
  24. Chapter 3 - Integration of Newton’s Equation of Motion (6/6)
  25. Chapter 4 - Lagrangian Formulation of Mechanics: Descriptions of Motion in Configuration Space (1/8)
  26. Chapter 4 - Lagrangian Formulation of Mechanics: Descriptions of Motion in Configuration Space (2/8)
  27. Chapter 4 - Lagrangian Formulation of Mechanics: Descriptions of Motion in Configuration Space (3/8)
  28. Chapter 4 - Lagrangian Formulation of Mechanics: Descriptions of Motion in Configuration Space (4/8)
  29. Chapter 4 - Lagrangian Formulation of Mechanics: Descriptions of Motion in Configuration Space (5/8)
  30. Chapter 4 - Lagrangian Formulation of Mechanics: Descriptions of Motion in Configuration Space (6/8)
  31. Chapter 4 - Lagrangian Formulation of Mechanics: Descriptions of Motion in Configuration Space (7/8)
  32. Chapter 4 - Lagrangian Formulation of Mechanics: Descriptions of Motion in Configuration Space (8/8)
  33. Chapter 5 - Hamiltonian Formulation of Mechanics: Descriptions of Motion in Phase Spaces (1/6)
  34. Chapter 5 - Hamiltonian Formulation of Mechanics: Descriptions of Motion in Phase Spaces (2/6)
  35. Chapter 5 - Hamiltonian Formulation of Mechanics: Descriptions of Motion in Phase Spaces (3/6)
  36. Chapter 5 - Hamiltonian Formulation of Mechanics: Descriptions of Motion in Phase Spaces (4/6)
  37. Chapter 5 - Hamiltonian Formulation of Mechanics: Descriptions of Motion in Phase Spaces (5/6)
  38. Chapter 5 - Hamiltonian Formulation of Mechanics: Descriptions of Motion in Phase Spaces (6/6)
  39. Chapter 6 - Motion Under a Central Force (1/9)
  40. Chapter 6 - Motion Under a Central Force (2/9)
  41. Chapter 6 - Motion Under a Central Force (3/9)
  42. Chapter 6 - Motion Under a Central Force (4/9)
  43. Chapter 6 - Motion Under a Central Force (5/9)
  44. Chapter 6 - Motion Under a Central Force (6/9)
  45. Chapter 6 - Motion Under a Central Force (7/9)
  46. Chapter 6 - Motion Under a Central Force (8/9)
  47. Chapter 6 - Motion Under a Central Force (9/9)
  48. Chapter 7 - Harmonic Oscillator (1/10)
  49. Chapter 7 - Harmonic Oscillator (2/10)
  50. Chapter 7 - Harmonic Oscillator (3/10)
  51. Chapter 7 - Harmonic Oscillator (4/10)
  52. Chapter 7 - Harmonic Oscillator (5/10)
  53. Chapter 7 - Harmonic Oscillator (6/10)
  54. Chapter 7 - Harmonic Oscillator (7/10)
  55. Chapter 7 - Harmonic Oscillator (8/10)
  56. Chapter 7 - Harmonic Oscillator (9/10)
  57. Chapter 7 - Harmonic Oscillator (10/10)
  58. Chapter 8 - Coupled Oscillations and Normal Coordinates (1/5)
  59. Chapter 8 - Coupled Oscillations and Normal Coordinates (2/5)
  60. Chapter 8 - Coupled Oscillations and Normal Coordinates (3/5)
  61. Chapter 8 - Coupled Oscillations and Normal Coordinates (4/5)
  62. Chapter 8 - Coupled Oscillations and Normal Coordinates (5/5)
  63. Chapter 9 - Nonlinear Oscillations (1/8)
  64. Chapter 9 - Nonlinear Oscillations (2/8)
  65. Chapter 9 - Nonlinear Oscillations (3/8)
  66. Chapter 9 - Nonlinear Oscillations (4/8)
  67. Chapter 9 - Nonlinear Oscillations (5/8)
  68. Chapter 9 - Nonlinear Oscillations (6/8)
  69. Chapter 9 - Nonlinear Oscillations (7/8)
  70. Chapter 9 - Nonlinear Oscillations (8/8)
  71. Chapter 10 - Collisions and Scatterings (1/5)
  72. Chapter 10 - Collisions and Scatterings (2/5)
  73. Chapter 10 - Collisions and Scatterings (3/5)
  74. Chapter 10 - Collisions and Scatterings (4/5)
  75. Chapter 10 - Collisions and Scatterings (5/5)
  76. Chapter 11 - Motion in Non-Inertial Systems (1/8)
  77. Chapter 11 - Motion in Non-Inertial Systems (2/8)
  78. Chapter 11 - Motion in Non-Inertial Systems (3/8)
  79. Chapter 11 - Motion in Non-Inertial Systems (4/8)
  80. Chapter 11 - Motion in Non-Inertial Systems (5/8)
  81. Chapter 11 - Motion in Non-Inertial Systems (6/8)
  82. Chapter 11 - Motion in Non-Inertial Systems (7/8)
  83. Chapter 11 - Motion in Non-Inertial Systems (8/8)
  84. Chapter 12 - Motion of Rigid Bodies (1/10)
  85. Chapter 12 - Motion of Rigid Bodies (2/10)
  86. Chapter 12 - Motion of Rigid Bodies (3/10)
  87. Chapter 12 - Motion of Rigid Bodies (4/10)
  88. Chapter 12 - Motion of Rigid Bodies (5/10)
  89. Chapter 12 - Motion of Rigid Bodies (6/10)
  90. Chapter 12 - Motion of Rigid Bodies (7/10)
  91. Chapter 12 - Motion of Rigid Bodies (8/10)
  92. Chapter 12 - Motion of Rigid Bodies (9/10)
  93. Chapter 12 - Motion of Rigid Bodies (10/10)
  94. Chapter 13 - Theory of Special Relativity (1/10)
  95. Chapter 13 - Theory of Special Relativity (2/10)
  96. Chapter 13 - Theory of Special Relativity (3/10)
  97. Chapter 13 - Theory of Special Relativity (4/10)
  98. Chapter 13 - Theory of Special Relativity (5/10)
  99. Chapter 13 - Theory of Special Relativity (6/10)
  100. Chapter 13 - Theory of Special Relativity (7/10)
  101. Chapter 13 - Theory of Special Relativity (8/10)
  102. Chapter 13 - Theory of Special Relativity (9/10)
  103. Chapter 13 - Theory of Special Relativity (10/10)
  104. Chapter 14 - Newtonian Gravity and Newtonian Cosmology (1/8)
  105. Chapter 14 - Newtonian Gravity and Newtonian Cosmology (2/8)
  106. Chapter 14 - Newtonian Gravity and Newtonian Cosmology (3/8)
  107. Chapter 14 - Newtonian Gravity and Newtonian Cosmology (4/8)
  108. Chapter 14 - Newtonian Gravity and Newtonian Cosmology (5/8)
  109. Chapter 14 - Newtonian Gravity and Newtonian Cosmology (6/8)
  110. Chapter 14 - Newtonian Gravity and Newtonian Cosmology (7/8)
  111. Chapter 14 - Newtonian Gravity and Newtonian Cosmology (8/8)
  112. Chapter 15 - Hamilton–Jacobi Theory of Dynamics (1/4)
  113. Chapter 15 - Hamilton–Jacobi Theory of Dynamics (2/4)
  114. Chapter 15 - Hamilton–Jacobi Theory of Dynamics (3/4)
  115. Chapter 15 - Hamilton–Jacobi Theory of Dynamics (4/4)
  116. Chapter 16 - Introduction to Lagrangian and Hamiltonian Formulations for Continuous Systems and Classical Fields (1/5)
  117. Chapter 16 - Introduction to Lagrangian and Hamiltonian Formulations for Continuous Systems and Classical Fields (2/5)
  118. Chapter 16 - Introduction to Lagrangian and Hamiltonian Formulations for Continuous Systems and Classical Fields (3/5)
  119. Chapter 16 - Introduction to Lagrangian and Hamiltonian Formulations for Continuous Systems and Classical Fields (4/5)
  120. Chapter 16 - Introduction to Lagrangian and Hamiltonian Formulations for Continuous Systems and Classical Fields (5/5)
  121. Appendix 1: Vector Analysis and Ordinary Differential Equations (1/6)
  122. Appendix 1: Vector Analysis and Ordinary Differential Equations (2/6)
  123. Appendix 1: Vector Analysis and Ordinary Differential Equations (3/6)
  124. Appendix 1: Vector Analysis and Ordinary Differential Equations (4/6)
  125. Appendix 1: Vector Analysis and Ordinary Differential Equations (5/6)
  126. Appendix 1: Vector Analysis and Ordinary Differential Equations (6/6)
  127. Appendix 2: D’Alembert’s Principle and Lagrange’s Equations (1/2)
  128. Appendix 2: D’Alembert’s Principle and Lagrange’s Equations (2/2)
  129. Appendix 3: Derivation of Hamilton’s Principle from D’Alembert’s Principle
  130. Appendix 4: Noether’s Theorem (1/2)
  131. Appendix 4: Noether’s Theorem (2/2)
  132. Appendix 5: Conic Sections, Ellipse, Parabola, and Hyperbola (1/2)
  133. Appendix 5: Conic Sections, Ellipse, Parabola, and Hyperbola (2/2)
  134. Back Cover

Product information

  • Title: Classical Mechanics, Second Edition, 2nd Edition
  • Author(s): Tai L. Chow
  • Release date: May 2013
  • Publisher(s): CRC Press
  • ISBN: 9781466570009