V. I. Arnold

Singularity Theory (eBook, PDF)

• Format: PDF

Produktbeschreibung

Professor Arnold is a prolific and versatile mathematician who has done striking work in differential equations and geometrical aspects of analysis. In this volume are collected seven of his survey articles from Russian Mathematical Surveys on singularity theory, the area to which he has made most contribution. These surveys contain Arnold's own analysis and synthesis of a decade's work. All those interested in singularity theory will find this an invaluable compilation. Professor C. T. C. Wall has written an introduction outlining the significance and content of the articles.

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Produktdetails

• Verlag: Cambridge University Press
• Erscheinungstermin: 17. September 1981
• Englisch
• ISBN-13: 9781107107779
• Artikelnr.: 39262201

Inhaltsangabe

Intoduction C. T. C. Wall; 1. Singularities of smooth mappings (Volume 23
1968); 2. On matrices depending on parameters (Volume 26
1971); 3. Remarks on the stationary phase method and Coxeter numbers (Volume 28
1973); 4. Normal forms of functions in neighbourhoods of degenerate critical points (Volume 29
1974); 5. Critical points of smooth functions and their normal forms (Volume 30
1975); 6. Critical points of functions on a manifold with boundary
the simple Lie groups Bk
Ck and F4 and singularities of evolutes (Volume 33
1978); 7. Indices of singular points of 1-forms on a manifold with boundary
convolution of invariants of reflection groups and singular projections of smooth surfaces (Volume 34
1979).