Differentiable Germs and Catastrophes (London Mathematical Society Lecture Note Series) pdf epub mobi txt 电子书下载 2024

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Theodor Bröcker

Cambridge University Press

Lander, L.

1975-08-29

188

USD 37.99

Paperback

London Mathematical Society Lecture Note Series

9780521206815

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发表于2024-11-08

Differentiable Germs and Catastrophes (London Mathematical Society Lecture Note Series) epub 下载 mobi 下载 pdf 下载 txt 电子书下载 2024

Differentiable Germs and Catastrophes (London Mathematical Society Lecture Note Series) pdf epub mobi txt 电子书下载 2024

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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.

Differentiable Germs and Catastrophes (London Mathematical Society Lecture Note Series) 下载 mobi epub pdf txt 电子书