Introduction to Mechanics and Symmetry
by Jerrold E. Marsden, Tudor S. Ratiu
Publisher: Springer 1998
Number of pages: 549
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.
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by Sunil Golwala - California Institute of Technology
These notes cover classical mechanics and special relativity. You will learn new techniques 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 understanding of physics.
Classical mechanics is the study of the motion of bodies based upon Isaac Newton's famous laws of mechanics. The reader should be comfortable with basic physics concepts. Familiarity with geometry, algebra, and calculus is a must.
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 Eric Poisson - University of Guelph
These lecture notes are suitable for a one-semester course at the third-year undergraduate level. The table of contents: Newtonian mechanics; Lagrangian mechanics; Hamiltonian mechanics; Term project: Motion around a black hole.