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Author Bröcker, Theodor.
Title Differenzierbare Abbildungen. English
Differentiable germs and catastrophes / Th. Bröcker & L. Lander ; [translated by L. Lander].
Imprint Cambridge [England] ; New York : Cambridge University Press, [1975]

Series London Mathematical Society lecture note series ; 17
London Mathematical Society lecture note series ; 17.
Subject Catastrophes (Mathematics)
Differentiable mappings.
Germs (Mathematics)
Alt Name Lander, L.,
Description 1 online resource (vi, 179 pages) : illustrations.
Note "A small number of copies of the German text were printed ... under the title: Der Regensburger Trichter, Band 3, Differenzierbare Abbildungen."
Bibliography Note Includes bibliographical references (pages 172-175) and index.
Note English.
Summary 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.
Note Print version record.
ISBN 9781107087057 (electronic bk.)
1107087058 (electronic bk.)
9781107325418 (electronic bk.)
1107325412 (electronic bk.)
OCLC # 846495079
Additional Format Print version: Bröcker, Theodor. Differenzierbare Abbildungen. English. Differentiable germs and catastrophes. Cambridge [Eng.] ; New York : Cambridge University Press, ©1975 0521206812 (DLC) 74017000 (OCoLC)1659358