Classical Mechanics (2^nd Ed.)

Classical Mechanics, Second Edition presents a complete account of the classical mechanics of particles and systems for physics students at the advanced undergraduate level. The book evolved from a set of lecture notes for a course on the subject taught by the author at California State University, Stanislaus, for many years. It assumes the reader has been exposed to a course in calculus and a calculus-based general physics course. However, no prior knowledge of differential equations is required. Differential equations and new mathematical methods are developed in the text as the occasion demands.

The book begins by describing fundamental concepts, such as velocity and acceleration, upon which subsequent chapters build. The second edition has been updated with two new sections added to the chapter on Hamiltonian formulations, and the chapter on collisions and scattering has been rewritten. The book also contains three new chapters covering Newtonian gravity, the Hamilton-Jacobi theory of dynamics, and an introduction to Lagrangian and Hamiltonian formulations for continuous systems and classical fields. To help students develop more familiarity with Lagrangian and Hamiltonian formulations, these essential methods are introduced relatively early in the text.

The topics discussed emphasize a modern perspective, with special note given to concepts that were instrumental in the development of modern physics, for example, the relationship between symmetries and the laws of conservation. Applications to other branches of physics are also included wherever possible. The author provides detailed mathematical manipulations, while limiting the inclusion of the more lengthy and tedious ones. Each chapter contains homework problems of varying degrees of difficulty to enhance understanding of the material in the text. This edition also contains four new appendices on D'Alembert's principle and Lagrange's equations, derivation of Hamilton?s principle, Noether?s theorem, and conic sections.

Kinematics: Describing the Motion. Newtonian Mechanics. Integration of Newton’s Equation of Motion. Lagrangian Formulation of Mechanics: Descriptions of Motion in Configuration Space. Hamiltonian Formulation of Mechanics: Descriptions of Motion in PhaseSpaces. Motion Under a Central Force. Harmonic Oscillator. Coupled Oscillations and Normal Coordinates. Nonlinear Oscillations. Collisions and Scatterings. Motion in Non-Inertial Systems. Motion of Rigid Bodies. Theory of Special Relativity. Newtonian Gravity and Newtonian Cosmology. Hamilton–Jacobi Theory of Dynamics. Introduction to Lagrangian and Hamiltonian Formulations for Continuous Systems and Classical Fields. Appendices. Index.

Dr. Tai Chow was born and raised in China. He received the Bachelor of Science degree in physics from National Taiwan University, a master’s degree in physics from Case Western Reserve University in Cleveland, and a Ph.D. degree in physics from the University of Rochester in New York. Since 1970, Dr. Chow has been in the Department of Physics at California State University, Stanislaus, and served as the department chairman for 18 years. He has published more than 40 articles in physics and astrophysics journals and is the author of four textbooks.