Variational Principles in Classical Mechanics
by Douglas Cline
Publisher: River Campus Libraries 2017
Number of pages: 587
This book introduces variational principles, and illustrates the intellectual beauty, the remarkable power, and the broad scope, of applying variational principles to classical mechanics. Applications presented cover a wide variety of topics, as well as extensions to accommodate relativistic mechanics, and quantum theory.
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by Oene Bottema, Bernard Roth - Dover Publications
An important reference for any researcher in kinematics, it covers many important results for analysis and design of mechanisms. The authors used the adjective theoretical in the title in order to distinguish the subject from applied kinematics.
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 John C. Baez - University of California
These are course notes for a mathematics graduate course on classical mechanics. The author started with the Lagrangian approach, with a heavy emphasis on action principles, and derived the Hamiltonian approach from that.