Recent advances in the study of dynamical systems have revolutionized the way that classical mechanics is taught and understood. This new and comprehensive textbook provides a complete description of this fundamental branch of physics. The authors cover all the material that one would expect to find in a standard graduate course: Lagrangian and Hamiltonian dynamics, canonical transformations, the Hamilton-Jacobi equation, perturbation methods, and rigid bodies. They also deal with more advanced topics such as the relativistic Kepler problem, Liouville and Darboux theorems, and inverse and chaotic scattering. A key feature of the book is the early introduction of geometric (differential manifold) ideas, as well as detailed treatment of topics in nonlinear dynamics (such as the KAM theorem) and continuum dynamics (including solitons). Over 200 homework exercises are included. It will be an ideal textbook for graduate students of physics, applied mathematics, theoretical chemistry, and engineering, as well as a useful reference for researchers in these fields. A solutions manual is available exclusively for instructors. Advances in the study of dynamical systems have revolutionized the way that classical mechanics is taught and understood. Classical Dynamics, first published in 1998, is a comprehensive textbook that provides a complete description of this fundamental branch of physics. The authors cover all the material that one would expect to find in a standard graduate course: Lagrangian and Hamiltonian dynamics, canonical transformations, the Hamilton-Jacobi equation, perturbation methods, and rigid bodies. They also deal with more advanced topics such as the relativistic Kepler problem, Liouville and Darboux theorems, and inverse and chaotic scattering. A key feature of the book is the early introduction of geometric (differential manifold) ideas, as well as detailed treatment of topics in nonlinear dynamics (such as the KAM theorem) and continuum dynamics (including solitons). The book contains many worked examples and over 200 homework exercises. It will be an ideal textbook for graduate students of physics, applied mathematics, theoretical chemistry, and engineering, as well as a useful reference for researchers in these fields. A solutions manual is available exclusively for instructors. Recent Advances In The Study Of Dynamical Systems Have Revolutionized The Way That Classical Mechanics Is Taught And Understood. Classical Dynamics: A Contemporary Approach Is A New And Comprehensive Textbook That Provides A Complete Description Of This Fundamental Branch Of Physics. It Will Be An Ideal Textbook For Graduate Students Of Physics, Applied Mathematics, Theoretical Chemistry, And Engineering, And Will Also Serve As A Useful Reference For Researchers In These Fields.--jacket. Fundamentals Of Mechanics -- Lagrangian Formulation Of Mechanics -- Topics In Lagrangian Dynamics -- Scattering And Linear Oscillations -- Hamiltonian Formulation Of Mechanics -- Topics In Hamiltonian Dynamics -- Nonlinear Dynamics -- Virigid Bodies -- Continuum Dynamics. Jorge V. José And Eugene J. Saletan. Includes Bibliographical References (p. [656]-662) And Index. Recent advances in the study of dynamical systems have revolutionized the way that classical mechanics is taught and understood. The authors cover all the material that one would expect to find in a standard graduate course: Lagrangian and Hamiltonian dynamics, canonical transformations, the Hamilton-Jacobi equation, perturbation methods, and rigid bodies. They also deal with more advanced topics such as the relativistic Kepler problem, Liouville and Darboux theorems, and inverse and chaotic scattering. A key feature of the book is the early introduction of geometric (differential manifold) ideas, as well as derailed treatment of topics in nonlinear dynamics (such as the KAM theorem) and continuum dynamics (including solitons). A solutions manual is available exclusively for instructors.
