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 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 Janusz Krodkiewski
The purpose of this text is to provide the students with the theoretical background and engineering applications of the three dimensional mechanics of a rigid body. Covered are three-dimensional kinematics and kinetics of particles and rigid bodies.
by Gerald Jay Sussman, Jack Wisdom - The MIT Press
The book emphasizes the development of general tools to support the analysis of nonlinear Hamiltonian systems. Explorations of transitions to chaos, nonlinear resonances, and resonance overlap to help the student to develop tools for understanding.
by Walter Wilcox - Bookboon
This is a two semester introductory classical mechanics text. The coverage of material includes some unusual topics in variational techniques and deterministic chaos. The treatment of relativity is more complete than usual.