Elementary Mechanics from a Mathematician's Viewpoint
by Michael Spivak
Publisher: University of Georgia 2004
Number of pages: 102
From the table of contents: The Hardest Part of Mechanics (The Fundamentals); How Newton Analyzed Planetary Motion; Systems of Particles; Conservation Laws; Rigid Bodies; Constraints; Holonomic and Non-Holonomic Constraints; Statically Indeterminate Structures.
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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 Rudra Pratap, Andy Ruina - Cornell University
This is an engineering statics and dynamics text intended as both an introduction and as a reference. The book emphasizes use of vectors, free-body diagrams, momentum and energy balance and computation. Intuitive approaches are discussed throughout.
by Oene Bottema, Bernard Roth - Dover Publications
An important reference for any researcher in kinematics, it covers many important results for analysis and design of mechanisms. The authors used the adjective theoretical in the title in order to distinguish the subject from applied kinematics.
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.