Overview
- The chosen problems often originate from real physical situations
- They are worked out in detail so that the reader may perfectly integrate all the notions presented in the summary of the course
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Table of contents (8 chapters)
Keywords
About this book
The aim of this work is to bridge the gap between the well-known Newtonian mechanics and the studies on chaos, ordinarily reserved to experts. Several topics are treated: Lagrangian, Hamiltonian and Jacobi formalisms, studies of integrable and quasi-integrable systems. The chapter devoted to chaos also enables a simple presentation of the KAM theorem. All the important notions are recalled in summaries of the lectures. They are illustrated by many original problems, stemming from real-life situations, the solutions of which are worked out in great detail for the benefit of the reader.
This book will be of interest to undergraduate students as well as others whose work involves mechanics, physics and engineering in general.
Reviews
From the reviews:
“The present book fills an important gap in the scientific literature since most books on analytical mechanics concentrate on the theoretical aspects. A great number of exercises and problems are divided into eight chapters … . In conclusion, this is an excellent source of concrete examples for students and mathematicians from several fields.” (Mircea Crâşmăreanu, Zentralblatt MATH, Vol. 1172, 2009)Authors and Affiliations
Bibliographic Information
Book Title: Solved Problems in Lagrangian and Hamiltonian Mechanics
Authors: Claude Gignoux, Bernard Silvestre-Brac
DOI: https://doi.org/10.1007/978-90-481-2393-3
Publisher: Springer Dordrecht
eBook Packages: Physics and Astronomy, Physics and Astronomy (R0)
Copyright Information: Springer Science+Business Media B.V. 2009
Hardcover ISBN: 978-90-481-2392-6Published: 17 July 2009
Softcover ISBN: 978-94-007-9176-3Published: 16 November 2014
eBook ISBN: 978-90-481-2393-3Published: 14 July 2009
Edition Number: 1
Number of Pages: XVIII, 464
Additional Information: Original French edition published by Grenoble Sciences, 2004
Topics: Classical Mechanics, Complex Systems, Classical Electrodynamics, Statistical Physics and Dynamical Systems