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Singularity Theory I

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ISBN-10: 3540637117

ISBN-13: 9783540637110

Edition: 1998 (Reprint)

Authors: V. I. Arnold, V. V. Goryunov, O. V. Lyashko, V. A. Vasil'ev, A. Iacob

List price: $79.99
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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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Book details

List price: $79.99
Copyright year: 1998
Publisher: Springer Berlin / Heidelberg
Publication date: 3/17/1998
Binding: Paperback
Pages: 245
Size: 6.10" wide x 9.25" long x 0.75" tall
Weight: 1.760
Language: English

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