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Singularity Theory I

  • Book
  • © 1998

Overview

Authors:
  1. V. I. Arnold

    1. Steklov Mathematical Institute, Moscow, Russia
      CEREMADE, Université Paris 9 — Dauphine, Paris Cedex 16-e, France

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  2. V. V. Goryunov

    1. Moscow Aviation Institute, Moscow, Russia
      Division of Pure Mathematics, The University of Liverpool, Liverpool, UK

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  3. O. V. Lyashko

    1. Airforce Engineering Academy, Moscow, Russia

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  4. V. A. Vasil’ev

    1. Steklov Mathematical Institute, Moscow, Russia

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  • This is a survey book on singularity theory by one of the world's top research groups on the topic

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Table of contents (4 chapters)

  1. Front Matter

    Pages I-9
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  2. Critical Points of Functions

    • V. I. Arnold, V. V. Goryunov, O. V. Lyashko, V. A. Vasil’ev
    Pages 10-50

  3. Monodromy Groups of Critical Points

    • V. I. Arnold, V. V. Goryunov, O. V. Lyashko, V. A. Vasil’ev
    Pages 50-147

  4. Basic Properties of Maps

    • V. I. Arnold, V. V. Goryunov, O. V. Lyashko, V. A. Vasil’ev
    Pages 147-185

  5. The Global Theory of Singularities

    • V. I. Arnold, V. V. Goryunov, O. V. Lyashko, V. A. Vasil’ev
    Pages 185-220

  6. Back Matter

    Pages 221-245
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About this book

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

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

Authors and Affiliations

  • Steklov Mathematical Institute, Moscow, Russia

    V. I. Arnold, V. A. Vasil’ev

  • CEREMADE, Université Paris 9 — Dauphine, Paris Cedex 16-e, France

    V. I. Arnold

  • Moscow Aviation Institute, Moscow, Russia

    V. V. Goryunov

  • Division of Pure Mathematics, The University of Liverpool, Liverpool, UK

    V. V. Goryunov

  • Airforce Engineering Academy, Moscow, Russia

    O. V. Lyashko

Bibliographic Information

  • Book Title: Singularity Theory I

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

  • DOI: https://doi.org/10.1007/978-3-642-58009-3

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1998

  • Hardcover ISBN: 978-3-540-50583-9Due: 25 June 1993

  • Softcover ISBN: 978-3-540-63711-0Published: 17 March 1998

  • eBook ISBN: 978-3-642-58009-3Published: 06 December 2012

  • Edition Number: 1

  • Number of Pages: V, 245

  • Number of Illustrations: 1 b/w illustrations

  • Additional Information: Originally published as Volume 6 in the series: Encyclopaedia of Mathematical Sciences

  • Topics: Algebraic Geometry, Analysis

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