Singularity Theory I

1. Front Matter

   Pages I-9

   PDF

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

   PDF

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

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

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

• 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

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