Applications of the Calculus to Mechanics
by E.R. Hedrick, O.D. Kellogg
Publisher: Ginn and company 1909
Number of pages: 140
It has been the practice at the University of Missouri to follow the course in sophomore calculus with several weeks in applications to mechanics, a subject rich in the kind of material desired. This book is a formulation of the work there attempted.
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by Abdulwahab Amrani
Course objectives: To understand and use the general ideas of force vectors and equilibrium; To understand and use structural analysis and internal force and friction; To understand the ideas of center of gravity, centroids and moments of inertia.
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 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.