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 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 E.R. Hedrick, O.D. Kellogg - Ginn and company
It has been the practice at the University of Missouri to follow the course in sophomore calculus with several weeks in applications to mechanics, a subject rich in the kind of material desired. This book is a formulation of the work there attempted.
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 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.