Lecture Notes on Classical Mechanics
by Sunil Golwala
Publisher: California Institute of Technology 2007
Number of pages: 396
These notes cover classical mechanics and special relativity at a level of sophistication beyond the introductory sequence. You will learn a variety of new techniques and formalism that will allow you to attack a wider set of problems than you saw in the introductory sequences as well as provide you a deeper, more unified understanding of the structure and fundamental principles of classical physics.
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by Michael Spivak - University of Georgia
Contents: The Hardest Part of Mechanics (The Fundamentals); How Newton Analyzed Planetary Motion; Systems of Particles; Conservation Laws; Rigid Bodies; Constraints; Holonomic and Non-Holonomic Constraints; Statically Indeterminate Structures.
by Jerrold E. Marsden, Tudor S. Ratiu - Springer
This volume contains much of the basic theory of mechanics and should prove to be a useful foundation for further, as well as more specialized topics. As the name of the book implies, a consistent theme running through the book is that of symmetry.
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 John C. Baez - University of California
These are course notes for a mathematics graduate course on classical mechanics. The author started with the Lagrangian approach, with a heavy emphasis on action principles, and derived the Hamiltonian approach from that.