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 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 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.
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 Joel A. Shapiro - Rutgers
A textbook for an advanced course in classical mechanics covering: Particle Kinematics; Lagrange's and Hamilton's Equations; Two Body Central Forces; Rigid Body Motion; Small Oscillations; Hamilton's Equations; Perturbation Theory; Field Theory.