A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
Published on 15. December 1988
978-1-316-04314-1 (ISBN)
Description
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 / Votes
'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 SocietyMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Publishing group
Cambridge University Press
Target group
Professional and scholarly
Illustrations
Worked examples or Exercises
File size
24,12 MB
ISBN-13
978-1-316-04314-1 (9781316043141)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
E. T. Whittaker
A Treatise on the Analytical Dynamics of Particles and Rigid Bodies
With an Introduction to the Problem of Three Bodies
Book
12/1988
4th Edition
Cambridge University Press
€124.80
Shipment within 15-20 days
Persons
Content
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.
