Dynamical Systems IV

Symplectic Geometry and its Applications

  • V. I. Arnol’d
  • S. P. Novikov

Part of the Encyclopaedia of Mathematical Sciences book series (EMS, volume 4)

Table of contents

  1. Front Matter
    Pages i-vii
  2. V. I. Arnol’d, A. B. Givental’
    Pages 1-136
  3. A. A. Kirillov
    Pages 137-172
  4. B. A. Dubrovin, I. M. Krichever, S. P. Novikov
    Pages 173-280
  5. Back Matter
    Pages 281-286

About this book

Introduction

This book takes a snapshot of the mathematical foundations of classical and quantum mechanics from a contemporary mathematical viewpoint. It covers a number of important recent developments in dynamical systems and mathematical physics and places them in the framework of the more classical approaches; the presentation is enhanced by many illustrative examples concerning topics which have been of especial interest to workers in the field, and by sketches of the proofs of the major results. The comprehensive bibliographies are designed to permit the interested reader to retrace the major stages in the development of the field if he wishes. Not so much a detailed textbook for plodding students, this volume, like the others in the series, is intended to lead researchers in other fields and advanced students quickly to an understanding of the 'state of the art' in this area of mathematics. As such it will serve both as a basic reference work on important areas of mathematical physics as they stand today, and as a good starting point for further, more detailed study for people new to this field.

Keywords

contact geometry dynamical systems manifold mathematical physics symplectic geometry

Editors and affiliations

  • V. I. Arnol’d
    • 1
  • S. P. Novikov
    • 2
  1. 1.Steklov Mathematical InstituteMoscowUSSR
  2. 2.L.D. Landau Institute for Theoretical PhysicsAcademy of Sciences of the USSRMoscowUSSR

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-662-06793-2
  • Copyright Information Springer-Verlag Berlin Heidelberg 1990
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-662-06795-6
  • Online ISBN 978-3-662-06793-2
  • Series Print ISSN 0938-0396
  • About this book