Differentiable Germs and Catastrophes

Differentiable Germs and Catastrophes

EnglishEbook
Brocker, Theodor
Cambridge University Press
EAN: 9781107107472
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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.
EAN 9781107107472
ISBN 1107107474
Binding Ebook
Publisher Cambridge University Press
Publication date July 17, 1975
Language English
Country Uruguay
Authors Brocker, Theodor
Translators Lander, L.
Series London Mathematical Society Lecture Note Series