Singularity Theory I

  • V. I. Arnold
  • V. V. Goryunov
  • O. V. Lyashko
  • V. A. Vasil’ev

Part of the Encylopedia of Mathematical Sciences book series (volume 6)

Table of contents

  1. Front Matter
    Pages I-9
  2. V. I. Arnold, V. V. Goryunov, O. V. Lyashko, V. A. Vasil’ev
    Pages 10-50
  3. V. I. Arnold, V. V. Goryunov, O. V. Lyashko, V. A. Vasil’ev
    Pages 50-147
  4. V. I. Arnold, V. V. Goryunov, O. V. Lyashko, V. A. Vasil’ev
    Pages 147-185
  5. V. I. Arnold, V. V. Goryunov, O. V. Lyashko, V. A. Vasil’ev
    Pages 185-220
  6. Back Matter
    Pages 221-245

About this book


From the reviews of the first printing of this book, published as volume 6 of the Encyclopaedia of Mathematical Sciences: "... My general impression is of a particularly nice book, with a well-balanced bibliography, recommended!"
Medelingen van Het Wiskundig Genootschap, 1995

"... The authors offer here an up to date guide to the topic and its main applications, including a number of new results. It is very convenient for the reader, a carefully prepared and extensive bibliography ... makes it easy to find the necessary details when needed. The books (EMS 6 and EMS 39) describe a lot of interesting topics. ... Both volumes are a very valuable addition to the library of any mathematician or physicist interested in modern mathematical analysis."
European Mathematical Society Newsletter, 1994
"...The authors are recognized experts in their fields and so are ideal choices to write such a survey. ...The text of the book is liberally sprinkled with illustrative examples and so the style is not heavy going or turgid... The bibliography is very good and extremely large ..."

IMS Bulletin, 1995


Dimension Singularitätentheorie Smooth function bifurcation differential equation dynamical systems integral integration manifold mathematical analysis operator residue singularity singularity theory stability

Authors and affiliations

  • V. I. Arnold
    • 1
    • 2
  • V. V. Goryunov
    • 3
    • 4
  • O. V. Lyashko
    • 5
  • V. A. Vasil’ev
    • 1
  1. 1.Steklov Mathematical InstituteMoscowRussia
  2. 2.CEREMADEUniversité Paris 9 — DauphineParis Cedex 16-eFrance
  3. 3.Moscow Aviation InstituteMoscowRussia
  4. 4.Division of Pure MathematicsThe University of LiverpoolLiverpoolUK
  5. 5.Airforce Engineering AcademyMoscowRussia

Bibliographic information

  • DOI
  • Copyright Information Springer-Verlag Berlin Heidelberg 1998
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-63711-0
  • Online ISBN 978-3-642-58009-3
  • Series Print ISSN 0938-0396
  • Buy this book on publisher's site
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