Notes on Analytical Mechanics
by Ingemar Bengtsson
Publisher: Stockholms universitet, Fysikum 2017
Number of pages: 139
These are lecture notes for an undergraduate course in analytical mechanics. From the table of contents: The Best of all Possible Worlds; Lagrangian mechanics; The central force two-body problem; Rotation and rigid bodies; The Hamiltonian formulation; Integrable and chaotic motion.
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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 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.
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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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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.