Foundations of Mechanics, Second Edition
by Ralph Abraham, Jerrold E. Marsden
Publisher: Addison-Wesley 1987
Number of pages: 826
The basic audience for the second edition of the book remains the same: mathematicians, physicists, and engineers interested in geometrical methods in mechanics, assuming a background in calculus, linear algebra, some classical analysis, and point set topology. The basic results in manifold theory are included, as well as some key facts from point set topology and Lie group theory.
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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.
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.
by Walter Wilcox - Bookboon
This is a two semester introductory classical mechanics text. The coverage of material includes some unusual topics in variational techniques and deterministic chaos. The treatment of relativity is more complete than usual.
by A. W. Thomson, T. Alexander - MacMillan
The work forms an elementary consecutive treatise on the subject of Internal Stress and Strain. The whole is illustrated by a systematic and graduated set of Examples. At every point graphical methods are combined with the analytical.