Singularity Theory I

Name: Singularity Theory I
Price: 75.0 USD
Availability: InStock
ISBN: 9783540637110

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: $84.99

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Description:

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

Book details

List price: $84.99
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



Foreword



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


References


Author Index


Subject Index