Hidden Bibliographic Details
| Other authors / contributors: | Lander, L., author.
|
|---|
| ISBN: | 9781107087057
1107087058
9781107325418
1107325412
1299706746
9781299706743
0521206812
9780521206815
1139885871
9781139885874
1107099455
9781107099456
1107101999
9781107101999
1107093260
9781107093263
1107090113
9781107090118
|
|---|
| Notes: | "A small number of copies of the German text were printed ... under the title: Der Regensburger Trichter, Band 3, Differenzierbare Abbildungen."
Includes bibliographical references (pages 172-175) and index.
English.
Print version record.
|
|---|
| 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.
|
|---|
| Other form: | Print version: Bröcker, Theodor. Differenzierbare Abbildungen. English. Differentiable germs and catastrophes. Cambridge [Eng.] ; New York : Cambridge University Press, ©1975 0521206812
|
|---|
