DIFFERENTIABLE GERMS AND CATASTROPHES by Theodor Brocker, L. Lander (Trans) ( 9780521206815 )

Item Details

Title:

DIFFERENTIABLE GERMS AND CATASTROPHES

By:

Theodor Brocker, L. Lander (Trans)

Format:

Paperback

List price:

£36.99

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£32.37

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£4.62

ISBN 10:

0521206812

ISBN 13:

9780521206815

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Publisher:

CAMBRIDGE UNIVERSITY PRESS

Pub. date:

17 July, 1975

Series:

London Mathematical Society Lecture Note Series 17

Pages:

188

Translated from:

German

Description:

This book gives a fairly elementary introduction to the local theory of differentiable mappings and is suitable as a text for courses to graduates and advanced undergraduates.

Synopsis:

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.

Illustrations:

figs.

Publication:

Imprint:

Cambridge University Press

Returns:

Returnable

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