Mathematical Aspects of Classical and Celestial Mechanics

  • V. I. Arnold
  • V. V. Kozlov
  • A. I. Neishtadt

Table of contents

  1. Front Matter
    Pages I-XIV
  2. V. I. Arnold, V. V. Kozlov, A. I. Neishtadt
    Pages 1-48
  3. V. I. Arnold, V. V. Kozlov, A. I. Neishtadt
    Pages 49-77
  4. V. I. Arnold, V. V. Kozlov, A. I. Neishtadt
    Pages 78-106
  5. V. I. Arnold, V. V. Kozlov, A. I. Neishtadt
    Pages 107-137
  6. V. I. Arnold, V. V. Kozlov, A. I. Neishtadt
    Pages 138-211
  7. V. I. Arnold, V. V. Kozlov, A. I. Neishtadt
    Pages 212-250
  8. V. I. Arnold, V. V. Kozlov, A. I. Neishtadt
    Pages 251-273
  9. Back Matter
    Pages 274-294

About this book

Introduction

From the reviews: "... As an encyclopaedia article, this book does not seek to serve as a textbook, nor to replace the original articles whose results it describes. The book's goal is to provide an overview, pointing out highlights and unsolved problems, and putting individual results into a coherent context. It is full of historical nuggets, many of them surprising. ... The examples are especially helpful; if a particular topic seems difficult, a later example frequently tames it. The writing is refreshingly direct, never degenerating into a vocabulary lesson for its own sake. The book accomplishes the goals it has set for itself. While it is not an introduction to the field, it is an excellent overview. ..." American Mathematical Monthly, Nov. 1989
"This is a book to curl up with in front of a fire on a cold winter's evening. ..." SIAM Reviews, Sept. 1989

Keywords

Mechanical systems Störungstheorie mechanische Systeme n-Körper Problem n-body problem perturbation theory bifurcation classical mechanics differential equation extrema Hamiltonian mechanics hamiltonian system integrable system integral integration invariant manifold mechanics solution stability

Authors and affiliations

  • V. I. Arnold
    • 1
    • 2
  • V. V. Kozlov
    • 3
  • A. I. Neishtadt
    • 4
  1. 1.Steklov Mathematical InstituteMoscowRussia
  2. 2.CEREMADEUniversity Paris 9 - DauphineParis Cedex 16-eFrance
  3. 3.Department of Mathematics and MechanicsUniversity of MoscowMoscowRussia
  4. 4.Space Research InstituteMoscowRussia

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-642-61237-4
  • Copyright Information Springer-Verlag Berlin Heidelberg 1997
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-61224-7
  • Online ISBN 978-3-642-61237-4
  • Series Print ISSN 0938-0396
  • About this book