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© 1998

Singularity Theory I

Book

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

Introduction

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

Keywords

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

Authors and affiliations

  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

  • Book Title Singularity Theory I
  • Authors V.I. Arnold
    V.V. Goryunov
    O.V. Lyashko
    V.A. Vasil'ev
  • Series Title Encylopedia of Mathematical Sciences
  • DOI https://doi.org/10.1007/978-3-642-58009-3
  • Copyright Information Springer-Verlag Berlin Heidelberg 1998
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Hardcover ISBN 978-3-540-50583-9
  • Softcover ISBN 978-3-540-63711-0
  • eBook ISBN 978-3-642-58009-3
  • Series ISSN 0938-0396
  • Edition Number 1
  • Number of Pages V, 245
  • Number of Illustrations 1 b/w illustrations, 0 illustrations in colour
  • Additional Information Originally published as Volume 6 in the series: Encyclopaedia of Mathematical Sciences
  • Topics Algebraic Geometry
    Analysis
  • Buy this book on publisher's site
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Reviews

From the reviews: " My general impression is of a particularly nice book, with a well-balanced bibliography.  Recommended!"  Mededelingen 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