Solved Problems in Lagrangian and Hamiltonian Mechanics / Edition 1

by Claude Gignoux, Bernard Silvestre-Brac

Overview

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.

Product Details

ISBN-13:	9789048123926
Publisher:	Springer Netherlands
Publication date:	07/15/2009
Edition description:	2009
Pages:	464
Product dimensions:	6.10(w) x 9.30(h) x 1.30(d)

Table of Contents

The Lagrangian Formulation.- Lagrangian Systems.- Hamilton’s Principle.- Hamiltonian Formalism.- Hamilton–Jacobi Formalism.- Integrable Systems.- Quasi-Integrable Systems.- From Order to Chaos.

Editorial 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)

From the Publisher