Solved Problems in Lagrangian and Hamiltonian Mechanics

Solved Problems in Lagrangian and Hamiltonian Mechanics

3 (1 rating by Goodreads)
By (author)  , By (author) 

Free delivery worldwide

Available. Dispatched from the UK in 1 business day
When will my order arrive?

Description

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.
show more

Product details

  • Hardback | 482 pages
  • 156 x 234 x 26mm | 851g
  • Dordrecht, Netherlands
  • English
  • 2009 ed.
  • biography
  • 9048123925
  • 9789048123926
  • 1,066,103

Back cover copy

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.
show more

Table of contents

Foreword Synoptic Tables. Chapter 1 : The Lagrangian formulation (1 1 problems) Chapter 2 : Lagrangian systems (14 problems) Chapter 3 : The Hamilton's principle (15 problems) Chapter 4 : The Hamiltonian formalism (17 problems) Chapter 5 : The Hamilton-Jacobi formalism (1 1 problems) Chapter 6 : Integrable systems (18 problems) Chapter 7 : Quasi-integrable systems (9 problems) Chapter 8 : From order to chaos (12 problems). Bibliography.
show more

Review Text

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 Crâsmareanu, Zentralblatt MATH, Vol. 1172, 2009)
show more

Review quote

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 Crasmareanu, Zentralblatt MATH, Vol. 1172, 2009)
show more

Rating details

1 rating
3 out of 5 stars
5 0% (0)
4 0% (0)
3 100% (1)
2 0% (0)
1 0% (0)
Book ratings by Goodreads
Goodreads is the world's largest site for readers with over 50 million reviews. We're featuring millions of their reader ratings on our book pages to help you find your new favourite book. Close X