Differentiable Germs and Catastrophes

Name: Differentiable Germs and Catastrophes
Brand: Cambridge University Press
SKU: 9780521206815
Price: 355.81 RON
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Autor: Theodor BröckerL. Lander

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Editura: Cambridge University Press

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These notes give a fairly elementary introduction to the local theory of differentiable mappings. Sa...

Informații despre carte

Autor

Theodor BröckerL. Lander

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

1975

Pagini

188

EAN

9780521206815

ISBN

0521206812

Enbook ID

02025630

Editura

Cambridge University Press

Greutate

310

Dimensiuni

161 x 229 x 14

Descriere completă

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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Differentiable Germs and Catastrophes

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