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A Treatise on the Analytical Dynamics of Particles and Rigid Bodies (Cambridge Mathematical 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. 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.
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.
Brief Description:
An encylopaedic account of the classical theory of analytical dynamics. The book looks at 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.
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