CLASSICAL MECHANICS
Narayan Chandra Rana
- New Delhi, India : Tata McGraw-Hill Pub. Co., 1991.
- xx, 607 pages : illustrations ; 24 cm
Chapter 1 Constrained Motions in Cartesian Coordinates Chapter 2 Lagrangian Formulation in Generalised Coordinates Chapter 3 Rotating Frames of Reference Chapter 4 Central Force Chapter 5 Hamilton's Equations of Motion Chapter 6 Principles of Least Action and Hamilton's Principle Chapter 7 Brachistochrones, Tautochrones and the Cycloid Family Chapter 8 Canonical Transformations Chapter 9 The Poisson Bracket Chapter 10 Hamilton-Jacobi Theory Chapter 11 Small Oscillations Chapter 12 Rigid Body Dynamics Chapter 13 Elasticity Chapter 14 Fluid Dynamics
The book presents a lucid treatment of classical mechanics with an emphasis on the understanding of the fundamentals. It develops an appreciation of the versatility of practically all the fundamental principles of Physics. The book incorporates the recent developments in classical mechanics over the past four decades, and discusses in detail such topics as constrained systems, Lagrangian and Hamiltonian systems, canonical transformations, Hamilton jacobi theory, small oscillations, rigid body dynamics, central force problems, elasticity and fluid mechanics.