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1 Burnside - Bldg. 2 Physics- Classical Mechanics
1 Local Warehouse Physics- Classical Mechanics

Classical Mechanics: 2nd Edition

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Classical Mechanics: 2nd Edition Cover

 

Synopses & Reviews

Publisher Comments:

Geared toward advanced undergraduates and graduate students, this text covers applications not usually taught in physics courses: the theory of space-charge limited currents, atmospheric drag, the motion of meteoritic dust, variational principles in rocket motion, transfer functions, dissipative systems, and much more. 41 illustrations. 1960 edition.

Synopsis:

Geared toward advancedundergraduates and graduate students, this text covers applications not usually taught in physics courses: the theory of space-charge limited currents, atmospheric drag, the motion of meteoritic dust, variational principles in rocket motion, transfer functions, dissipative systems, and much more. 41 illustrations. 1960 edition.

Table of Contents

Chapter 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

  Exercises

Chapter 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

  Exercises

Chapter 3. Conservative Systems with One Degree of Freedom

17. The Oscillator

18. The Plan Pendulum

19. Child-Langmuir Law

  Exercises

Chapter 4. Two-Particle Systems

20. Introduction

21. Reduced Mass

22. Relative Kinetic Energy

23. Laboratory and Center-of-Mass Systems

24. Central Motion

  Exercises

Chapter 5. Time-Dependent Forces and Nonconservative Motion

25. Introduction

26. The Inverted Pedulum

27. Rocket Motion

28. Atmospheric Drag

29. The Poynting-Robertson Effect

30. The Damped Oscillator

  Exercises

Chapter 6. Lagrange's Equations of Motion

31. Derivation of Lagrange's Equations

32. The Lagrangian Function

33. The Jacobian Integral

34. Momentum Integrals

35. Charged Particle in an Electromagnetic Field

  Exercises

Chapter 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

Chapter 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 Freedom

46. Laplace Transforms and Dissipative Systems

  Exercises

Chapter 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

  Exercises

Chapter 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 Transformations

60. Alternative Forms of the Equations of Motion

  Exercises

Chapter 11. The Hamilton-Jacobi Method

61. The Hamilton-Jacobi Equation

62. Action and Angle Variables-Periodic Systems

63. Separable Mulitply-Periodic Systems

64. Applications

  Exercises

Chapter 12. Infinitesimal Contact Transformations

65. Transformation Theory of Classical Dynamics

66. Poisson Brackets

67. Jacobi's Identity

68. Poisson Brackets in Quantum Mechanics

  Exercises

Chapter 13. Further Development of Transformation Theory

69. Notation

70. Integral Invariants and Liouville's Theorem

71. Lagrange Brackets

72. Change of Independent Variable

73. Extended Contact Transformations

74. Perturbation Theroy

75. Stationary State Perturbation Theory

76. Time-Dependent Perturbation Theory

77. Quasi Coordinates and Quasi Momenta

  Exercises

Chapter 14. Special Applications

78. Noncentral Forces

79. Spin Motion

80. Variational Principles in Rocket Motion

81. The Boltzmann and Navier-Stokes Equations

Chapter 15. Continuous Media and Fields

82. The Stretched String

83. Energy-Momentum Relations

84. Three-Dimensional Media and Fields

85. Hamiltonian Form of Field Theory

  Exercises

Chapter 16. Introduction to Special Relativity Theory

86. Introduction

87. Space-Time and Lorentz Transformation

88. The Motion of a Free Particle

89. Charged Particle in an Electromagnetic Field

90. Hamiltonian Formulation of the Equations of Motion

91. Transformation Theory and the Lorentz Group

92. Thomas Precession

  Exercises

Chapter 17. The Orbits of Particles in High Energy Accelerators

93. Introduction

94. Equilibrium Orbits

95. Betatron Oscillations

96. Weak Focusing Accelerators

97. Strong Focusing Accelerators

98. Acceleration and Synchrotron Oscillations

Appendix I Riemannian Geometry

Appendix II Linear Vector Spaces

Appendix III Group Theory and Molecular Vibrations

Apendix IV Quaternions and Pauli Spin Matrices

Index

Product Details

ISBN:
9780486680637
Author:
Corben, H. C.
Author:
Stehle, Philip
Author:
Corben, H. C.
Author:
Physics
Publisher:
Dover Publications
Location:
New York :
Subject:
Physics
Subject:
Mechanics
Subject:
Engineering - Mechanical
Subject:
Material Science
Subject:
Technology
Subject:
Mechanics, analytic
Subject:
Mechanical
Subject:
Mechanics - General
Subject:
Physics-Classical Mechanics
Copyright:
Edition Number:
2
Edition Description:
Second Edition
Series:
Dover Books on Physics
Series Volume:
no. 104
Publication Date:
19940831
Binding:
TRADE PAPER
Language:
English
Illustrations:
Yes
Pages:
416
Dimensions:
8.5 x 5.38 in 0.97 lb

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Classical Mechanics: 2nd Edition Used Trade Paper
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$9.50 In Stock
Product details 416 pages Dover Publications - English 9780486680637 Reviews:
"Synopsis" by ,
Geared toward advancedundergraduates and graduate students, this text covers applications not usually taught in physics courses: the theory of space-charge limited currents, atmospheric drag, the motion of meteoritic dust, variational principles in rocket motion, transfer functions, dissipative systems, and much more. 41 illustrations. 1960 edition.
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