| Topics on Real & Complex Singularities: An Introduction 1987 Edition Contributor(s): Dimca, Alexandru (Author) |
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ISBN: 3528089997 ISBN-13: 9783528089993 Publisher: Vieweg+teubner Verlag OUR PRICE: $56.99 Product Type: Paperback Language: German Published: January 1987 |
| Additional Information |
| BISAC Categories: - Mathematics | Mathematical Analysis - Mathematics | Applied - Mathematics | Complex Analysis |
| Dewey: 510 |
| Series: Advanced Lectures in Mathematics |
| Physical Information: 0.55" H x 6.14" W x 9.21" (0.82 lbs) 242 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: The body of mathematics developed in the last forty years or so which can be put under the heading Singularity Theory is quite large. And the excellent introductions to this vast sub- ject which are already available (for instance AGVJ, BGJ, GiJ, GGJ, LmJ, Mr], WsJ or the more advanced Ln]) cover necessarily only apart of even the most basic topics. The aim of the present book is to introduce the reader to a few important topics from ZoaaZ Singularity Theory. Some of these topics have already been treated in other introductory books (e.g. right and contact finite determinacy of function germs) while others have been considered only in papers (e.g. Mather's Lemma, classification of simple O-dimensional complete intersection singularities, singularities of hyperplane sections and of dual mappings of projective hypersurfaces). Even in the first case, we feel that our treatment is different from the introductions mentioned above - the general reason being that we give special attention to the aompZex anaZytia situation and to the connections with AZgebraia Geometry. We offer now a detailed description of the contents, pOint- ing out special aspects and new material (i.e. previously un- published, though for the most part surely known to the ts ). Chapter 1 is a short introduction for the beginner. We recall here two basic results (the Submersion Theorem and Morse Lemma) and make a few comments on what is meant by the local behaviour of a function or of a plane algebraic curve. |