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 Michael Spivak - University of Georgia
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.
by Jerrold E. Marsden, Tudor S. Ratiu - Springer
This volume contains much of the basic theory of mechanics and should prove to be a useful foundation for further, as well as more specialized topics. As the name of the book implies, a consistent theme running through the book is that of symmetry.
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.
by Zdenek Martinec - Charles University in Prague
This text is suitable for a two-semester course on Continuum Mechanics. It is based on notes from undergraduate courses. The material is intended for use by undergraduate students of physics with a year or more of college calculus behind them.