A treatise on the analytical dynamics of particles and rigid bodies : with an introduction to the problem of three bodies

By E.T. Whittaker ; with a foreword by Sir William McCrea

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.

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[目次]

  • 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.

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この本の情報

書名 A treatise on the analytical dynamics of particles and rigid bodies : with an introduction to the problem of three bodies
著作者等 Whittaker, E. T.
McCrae Sir William
Whittaker E.T.
書名別名 A treatise on the analytical dynamics of particles & rigid bodies
シリーズ名 Cambridge mathematical library
出版元 Cambridge University Press
刊行年月 1988
版表示 4th ed
ページ数 xvii, 456 p.
大きさ 23 cm
ISBN 0521358833
NCID BA05092473
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言語 英語
出版国 イギリス
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