Notes on Analytical Mechanics
by Ingemar Bengtsson
Publisher: Stockholms universitet, Fysikum 2018
Number of pages: 143
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 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 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.
by Paul Lammert
We will study some famous and amusing problems. We will recast Newton's mechanics in languages (Lagrangian and Hamiltonian) which are not only practical for many problems but allow the methods of mechanics to be extended into every corner of physics.
by A. Nony Mous - Archive.org
Contents: Generalized Coordinate Systems; Differential Equations; One Dimensional Motion; Motion of a Particle in Two and Three Dimensions; Accelerated Frames of Reference; Systems of Interacting Particles; The Special Theory of Relativity; etc.