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Differentiable germs and catastrophes /
These notes give a fairly elementary introduction to the local theory of differentiable mappings. Sard's Theorem and the Preparation Theorem of Malgrange and Mather are the basic tools and these are proved first. There follows a number of illustrations including: the local part of Whitney'...
| Clasificación: | Libro Electrónico |
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| Autores principales: | , |
| Formato: | Electrónico eBook |
| Idioma: | Inglés Alemán |
| Publicado: |
Cambridge [England] ; New York :
Cambridge University Press,
©1975.
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| Colección: | London Mathematical Society lecture note series ;
17. |
| Temas: | |
| Acceso en línea: | Texto completo |
| Sumario: | These notes give a fairly elementary introduction to the local theory of differentiable mappings. Sard's Theorem and the Preparation Theorem of Malgrange and Mather are the basic tools and these are proved first. There follows a number of illustrations including: the local part of Whitney's Theorem on mappings of the plane into the plane, quadratic differentials, the Instability Theorem of Thom, one of Mather's theorems on finite determinacy and a glimpse of the theory of Toujeron. The later part of the book develops Mather's theory of unfoldings of singularities. Its application to Catastrophe theory is explained and the Elementary Catastrophes are illustrated by many pictures. The book is suitable as a text for courses to graduates and advanced undergraduates but may also be of interest to mathematical biologists and economists. |
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| Notas: | "A small number of copies of the German text were printed ... under the title: Der Regensburger Trichter, Band 3, Differenzierbare Abbildungen." |
| Descripción Física: | 1 online resource (vi, 179 pages) : illustrations |
| Bibliografía: | Includes bibliographical references (pages 172-175) and index. |
| ISBN: | 9781107087057 1107087058 9781107325418 1107325412 1299706746 9781299706743 1139885871 9781139885874 1107099455 9781107099456 1107101999 9781107101999 1107093260 9781107093263 1107090113 9781107090118 |