A Treatise on the Analytical Dynamics of Particles and Rigid Bodies: With an Introduction to the Problem of Three Bodies

ISBN-13: 9780521358835 / Angielski / Miękka / 1988 / 480 str.

E. T. Whittaker; William McCrea

Opis

Cambridge University Press has a long and honourable history of publishing in mathematics and counts many classics of the mathematical literature within its list. Some of these titles have been out of print for many years now and yet the methods which they espouse are still of considerable relevance today.The Cambridge Mathematical Library will provide an inexpensive edition of these titles in a durable paperback format and at a price which will make the books attractive to individuals wishing to add them to their personal libraries. It is intended that certain volumes in the series will have forewords, written by leading experts in the subject, which will place the title in its historical and mathematical context.

Recenzje

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

Spis treści

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.