by Joel A. Shapiro
Publisher: Rutgers 2003
Number of pages: 252
This is a textbook for an advanced course in classical mechanics. From the table of contents: Particle Kinematics; Lagrange's and Hamilton's Equations; Two Body Central Forces; Rigid Body Motion; Small Oscillations; Hamilton's Equations; Perturbation Theory; Field Theory.
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by Douglas Cline - River Campus Libraries
This book introduces variational principles, and illustrates the intellectual beauty, the remarkable power, and the broad scope, of applying variational principles to classical mechanics. Applications presented cover a wide variety of topics ...
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 Robert L. Dewar - The Australian National University
We develop a more abstract viewpoint in which one thinks of the dynamics of a system described by a number of generalized coordinates, but in which the dynamics can be encapsulated in a single scalar function: the Lagrangian or the Hamiltonian.