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A Treatise on the Analytical Dynamics of Particles and Rigid Bodies

A Treatise on the Analytical Dynamics of Particles and Rigid Bodies


Part of Cambridge Mathematical Library

  • Date Published: December 1988
  • availability: Available
  • format: Paperback
  • isbn: 9780521358835

£ 67.99

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About the Authors
  • This classic book is a encylopaedic and comprehensive account of the classical theory of analytical dynamics. The treatment is rigorous yet readable, starting from first principles with kinematics before moving to equations of motion and specific and explicit methods for solving them, with chapters devoted to particle dyanmics, rigid bodies, vibration, and dissipative systems. Hamilton's principle is introduced and then applied to dynamical systems, including three-body systems and celestial mechanics. Very many examples and exercisies are supplied throughout.

    Reviews & endorsements

    'The classical treatise on the subject of analytical dynamics - a work at once eminently readable, rigorously exact, and almost encyclopaedically comprehensive.' Science Progress

    'It has become the standard work on the topics with which it deals.' Mathematical Gazette

    'The best in the English language.' Bulletin of the American Mathematical Society

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    Product details

    • Date Published: December 1988
    • format: Paperback
    • isbn: 9780521358835
    • length: 480 pages
    • dimensions: 234 x 156 x 30 mm
    • weight: 0.71kg
    • availability: Available
  • Table of Contents

    Part I. Kinematical Preliminaries
    Part II. The Equations of Motion
    Part III. Principles Available for the Integration
    Part IV. The Soluble Problems of Particle Dynamics
    Part V. The Dynamical Specification of Bodies
    Part VI. The Soluble Problems of Rigid Dynamics
    Part VII. Theory of Vibrations
    Part VIII. Non-Holonomic Systems, Dissipative Systems
    Part IX. The Principles of Least Action and Least Curvature
    Part X. Hamiltonian Systems and their Integral-Invariants
    Part XI. The Transformation-Theory of Dynamics
    Part XII. Properties of the Integrals of Dynamical Systems
    Part XIII. The Reduction of the Problem of Three Bodies
    Part XIV. The Theorems of Bruns and Poincare
    Part XV. The General Theory of Orbits
    Part XVI. Integration by Series
    Index of authors quoted
    Index of terms employed.

  • Author

    E. T. Whittaker


    Sir William McCrae

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