Lewis A. Lagrangian Mechanics, Dynamics, and Control

World Scientific Publishing Company, 173 pages, 2004. An Introduction to Lagrangian Mechanics begins with a proper historical perspective on the Lagrangian method by presenting Fermat s Principle of Least Time (as an introduction to the Calculus of Variations) as well as the principles of Maupertuis, Jacobi, and d Alembert that preceded Hamilton s formulation of the Principle of Least Action, from which the Euler Lagrange equations of motion are...

World Scientific Publishing Company, 221 pages, 1996, ISBN-10: 9810226721 This book takes the student from the Newtonian mechanics typically taught in the first and the second year to the areas of recent research. The discussion of topics such as invariance, Hamiltonian Jacobi theory, and action-angle variables is especially complete; the last includes a discussion of the Hannay angle, not found in other texts. The final chapter is an introducti...

Springer, 2010, 308 p. In our presentation of the material we have tried, where possible, to replace intuitive motivations and scientific folklore by exact proofs or direct computations. To illustrate how classical-mechanics formalism works in other branches of theoretical physics, we have presented examples related to electrodynamics, as well as to relativistic and quantum mechanics. Most of the suggested exercises are directly related to the ma...

Brian Fabien. Analytical System Dynamics: Modeling and Simulation. Springer, 2008. - 338 p. - ISBN: 0387856048 "Analytical System Dynamics: Modeling and Simulation" combines results from analytical mechanics and system dynamics to develop an approach to modeling constrained multidiscipline dynamic systems. This combination yields a modeling technique based on the energy method of Lagrange, which in turn, results in a set of differential-algebrai...

Second Edition, CRC Press, 1999, 534 pages Complicated problems in nonlinear mechanics pose a challenge - many cannot be solved with existing closed-form methods. You would probably like easier methods for obtaining analytical and numerically exact solutions for finite elements, updated or total Lagrangian formulation, and arc-length methods of nonlinear elastic problem solving. Nonlinear Mechanics, Second Edition gives you what you want - conv...

Cambridge University Press, 2006. - 608 Pages. Gregory's Classical Mechanics is a major new textbook for undergraduates in mathematics and physics. It is a thorough, self-contained and highly readable account of a subject many students find difficult. The author's clear and systematic style promotes a good understanding of the subject; each concept is motivated and illustrated by worked examples, while problem sets provide plenty of practice for...

Cambridge University Press, 590 pages, 1998, ISBN-10: 0521575729 This introductory undergraduate text provides a detailed introduction to the key analytical techniques of classical mechanics, one of the cornerstones of physics. It deals with all the important subjects encountered in an undergraduate course and thoroughly prepares the reader for further study at graduate level. The authors set out the fundamentals of Lagrangian and Hamiltonian me...

Brooks Cole, 5th edition, 672 pages, 2003, ISBN-10: 0534408966 This best-selling classical mechanics text, written for the advanced undergraduate one- or two-semester course, provides a complete account of the classical mechanics of particles, systems of particles, and rigid bodies. Vector calculus is used extensively to explore topics.The Lagrangian formulation of mechanics is introduced early to show its powerful problem solving ability. Moder...

World Scientific Pubtishing, 2001, 440 pages This is both a textbook and a monograph. It is partially based on a two-semester course, held by the author for third-year students in physics and mathematics at the University of Salerno, on analytical mechanics, differential geometry, symplectic manifolds and integrable systems. As a textbook, it provides a systematic and self-consistent formulation of Hamiltonian dynamics both in a rigorous coordi...