Solved Problems in Lagrangian and Hamiltonian Mechanics

Author:   Claude Gignoux ,  Bernard Silvestre-Brac
Publisher:   Springer
Edition:   2009 ed.
ISBN:  

9789400791763


Pages:   464
Publication Date:   16 November 2014
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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Solved Problems in Lagrangian and Hamiltonian Mechanics


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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.

Full Product Details

Author:   Claude Gignoux ,  Bernard Silvestre-Brac
Publisher:   Springer
Imprint:   Springer
Edition:   2009 ed.
Dimensions:   Width: 15.50cm , Height: 2.50cm , Length: 23.50cm
Weight:   0.735kg
ISBN:  

9789400791763


ISBN 10:   9400791763
Pages:   464
Publication Date:   16 November 2014
Audience:   Professional and scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.
Language:   English

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.

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 Cra m reanu, Zentralblatt MATH, Vol. 1172, 2009)


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 Cra?m?reanu, Zentralblatt MATH, Vol. 1172, 2009)


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