Overview

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

Full Product Details

Author:   V.I. Arnold ,  A. Iacob ,  V.V. Goryunov ,  O.V. Lyashko
Publisher:   Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Imprint:   Springer-Verlag Berlin and Heidelberg GmbH & Co. K
Edition:   Softcover reprint of the original 1st ed. 1998
Dimensions:   Width: 15.50cm , Height: 1.30cm , Length: 23.50cm
Weight:   0.800kg
ISBN:  

9783540637110

ISBN 10:   3540637117
Pages:   245
Publication Date:   17 March 1998
Audience:   College/higher education ,  Professional and scholarly ,  Postgraduate, Research & Scholarly ,  Professional & Vocational
Format:   Paperback
Publisher's Status:   Active
Availability:   In Print  
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Table of Contents

1. Critical Points of Functions.- 1. Invariants of Critical Points.- 2. The Classification of Critical Points.- 3. Reduction to Normal Forms.- 2. Monodromy Groups of Critical Points.- 1. The Picard-Lefschetz Theory.- 2. Dynkin Diagrams and Monodromy Groups.- 3. Complex Monodromy and Period Maps.- 4. The Mixed Hodge Structure in the Vanishing Cohomology.- 5. Simple Singularities.- 6. Topology of Complements of Discriminants of Singularities.- 3. Basic Properties of Maps.- 1. Stable Maps and Maps of Finite Multiplicity.- 2. Finite Determinacy of Map-Germs, and Their Versal Deformations.- 3. The Topological Equivalence.- 4. The Global Theory of Singularities.- 1. Thom Polynomials for Maps of Smooth Manifolds.- 2. Integer Characteristic Classes and Universal Complexes of Singularities.- 3. Multiple Points and Multisingularities.- 4. Spaces of Functions with Critical Points of Mild Complexity.- 5. Elimination of Singularities and Solution of Differential Conditions.- 6. Tangential Singularities and Vanishing Inflexions.- References.- Author Index.

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

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

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