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OverviewFrom 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 DetailsAuthor: V.I. Arnold , A. Iacob , V.V. Goryunov , O.V. LyashkoPublisher: 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: 9783540637110ISBN 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  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents1. 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.ReviewsFrom 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 Author InformationTab Content 6Author Website:Countries AvailableAll regions |
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