Structure and Interpretation of Classical Mechanics
by Gerald Jay Sussman, Jack Wisdom
Publisher: The MIT Press 2001
Number of pages: 527
This textbook takes an innovative approach to the teaching of classical mechanics, emphasizing the development of general but practical intellectual tools to support the analysis of nonlinear Hamiltonian systems. The development is organized around a progressively more sophisticated analysis of particular natural systems and weaves examples throughout the presentation. Explorations of phenomena such as transitions to chaos, nonlinear resonances, and resonance overlap to help the student to develop appropriate analytic tools for understanding.
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by Howard Georgi - Harvard College
For students with good preparation in physics and mathematics at the level of the advanced placement curriculum. Topics include an introduction to Lagrangian mechanics, Noether's theorem, special relativity, collisions and scattering, etc.
by Ralph Abraham, Jerrold E. Marsden - Addison-Wesley
The advanced book on mechanics for mathematicians, physicists, and engineers interested in geometrical methods in mechanics. The basic results in manifold theory are included, as well as some key facts from point set topology and Lie group theory.
by Robert L. Dewar - The Australian National University
We develop a more abstract viewpoint in which one thinks of the dynamics of a system described by a number of generalized coordinates, but in which the dynamics can be encapsulated in a single scalar function: the Lagrangian or the Hamiltonian.
by A. Nony Mous - Archive.org
Contents: Generalized Coordinate Systems; Differential Equations; One Dimensional Motion; Motion of a Particle in Two and Three Dimensions; Accelerated Frames of Reference; Systems of Interacting Particles; The Special Theory of Relativity; etc.