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A Treatise on the Analytical Dynamics of Particles and Rigid Bodies

by E.T. Whittaker, Sir William McCrae

An 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.

FORMAT
Paperback
LANGUAGE
English
CONDITION
Brand New


Publisher Description

There can be few books on mathematical mechanics as famous as this, a work that forms a comprehensive account of all the classical results of analytical dynamics.

Author Biography

Whittaker, Professor of Mathematics in the University of Edinburgh.

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.

Review

'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

Review Quote

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

Description for Bookstore

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.

Description for Library

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.

Details

ISBN0521358833
Author Sir William McCrae
Short Title TREATISE ON THE ANALYTICAL DYN
Pages 480
Publisher Cambridge University Press
Series Cambridge Mathematical Library
Language English
Edition 4th
ISBN-10 0521358833
ISBN-13 9780521358835
Media Book
Format Paperback
DEWEY 531.163
Illustrations Yes
Imprint Cambridge University Press
Place of Publication Cambridge
Country of Publication United Kingdom
Birth 1873
Death 1956
Residence STK
DOI 10.1604/9780521358835
UK Release Date 1988-12-15
AU Release Date 1988-12-15
NZ Release Date 1988-12-15
Year 1988
Publication Date 1988-12-15
Alternative 9780511608797
Audience Professional & Vocational

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