This book was written to fill a gap between elementary expositions and more advanced material. It takes the challenge to explain the most relevant ideas and to show the most important applications using plain language and simple mathematics, often through an original approach. Basic calculus is enough for the reader to proceed through the book and when more is required, the new mathematical concepts are illustrated, again in plain language. The book is conceived in such a way that some difficult chapters can be bypassed, whilst still grasping the main ideas. However, anybody wishing to go deeper in some directions will find at least the flavour of recent developments and many bibliographical references.
1: Geometric and kinematic foundations of Lagrangian mechanics 2: Dynamics: general laws and the dynamics of a point particle 3: One-dimensional motion 4: The dynamics of discrete systems. Lagrangian formalism 5: Motion in a central field 6: Rigid bodies: geometry and kinematics 7: The mechanics of rigid bodies: dynamics 8: Analytical mechanics: Hamiltonian formalism 9: Analytical mechanics: variational principles 10: Analytical mechanics: canonical formalism 11: Analytical mechanics: Hamilton-Jacobi theory and integrability 12: Analytical mechanics: canonical perturbation theory 13: Analytical mechanics: an introduction to ergodic theory and to chaotic motion 14: Statistical mechanics: kinetic theory 15: Statistical mechanics: Gibbs sets 16: Lagrangian formalism in continuum mechanics Appendices
Professor Antonio Fasano Dipartimento di Matematica U. Dini Universita di Firenze Viale Morgagni 67A 50134 Firenze Italy Professor Stefano Marmi Scuola Normale Superiore Piazza dei Cavalieri 7 56126 Pisa Italy
Reviews for Analytical Mechanics: An Introduction
Pleasantly presented. * K. Lindsay, University of Glasgow *