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 Abdulwahab Amrani
Course objectives: To understand and use the general ideas of force vectors and equilibrium; To understand and use structural analysis and internal force and friction; To understand the ideas of center of gravity, centroids and moments of inertia.
by Ralph Abraham, Jerrold E. Marsden - Addison-Wesley
The advanced book on mechanics for mathematicians, physicists, and engineers interested in geometrical methods in mechanics. The basic results in manifold theory are included, as well as some key facts from point set topology and Lie group theory.
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 Walter Wilcox - Bookboon
This is a two semester introductory classical mechanics text. The coverage of material includes some unusual topics in variational techniques and deterministic chaos. The treatment of relativity is more complete than usual.