Author 
Bröcker, Theodor.

Series 
London Mathematical Society lecture note series ; 17 

London Mathematical Society lecture note series ;
http://id.loc.gov/authorities/names/n42015587 17.

Subject 
Catastrophes (Mathematics)


Differentiable mappings.


Germs (Mathematics)

Alt Name 
Lander, L.,

Description 
1 online resource (vi, 179 pages) : illustrations. 

polychrome rdacc http://rdaregistry.info/termList/RDAColourContent/1003 
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 172175) 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.) 

1299706746 

9781299706743 

0521206812 

9780521206815 
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 
