A Short Introduction to Theoretical Mechanics
by A. Nony Mous
Publisher: Archive.org 2007
Number of pages: 201
Contents: Introduction; 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; Systems of Interacting Particles: Two or Three Particles; Systems of Interacting Particles: Rigid Bodies; The Special Theory of Relativity.
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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 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 Eric Poisson - University of Guelph
These lecture notes are suitable for a one-semester course at the third-year undergraduate level. The table of contents: Newtonian mechanics; Lagrangian mechanics; Hamiltonian mechanics; Term project: Motion around a black hole.
Classical mechanics is the study of the motion of bodies based upon Isaac Newton's famous laws of mechanics. The reader should be comfortable with basic physics concepts. Familiarity with geometry, algebra, and calculus is a must.