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 Ray M. Bowen - Springer
This textbook is an introduction to the essentials of modern Continuum Mechanics for engineering graduate students. The book is self contained and suitable for self study. It establishes certain classical continuum models within a modern framework.
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.
by Ingemar Bengtsson - Stockholms universitet, Fysikum
These are lecture notes for an undergraduate course in analytical mechanics. From the table of contents: Lagrangian mechanics; The central force two-body problem; Rotation and rigid bodies; The Hamiltonian formulation; Integrable and chaotic motion.
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.