Theodor Brocker, Brocker, Th Brocker

Differentiable Germs and Catastrophes

• Broschiertes Buch

Produktbeschreibung

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.

Produktdetails

• Verlag: Cambridge University Press
• Seitenzahl: 188
• Erscheinungstermin: 29. Dezember 2008
• Englisch
• Abmessung: 229mm x 152mm x 10mm
• Gewicht: 282g
• ISBN-13: 9780521206815
• ISBN-10: 0521206812
• Artikelnr.: 25233697

Inhaltsangabe

1. Foreword
1. Germs with constant rank
2. Regular values
3. Construction of differentiable maps
4. Germs and jets
5. The division theorem
6. The preparation theorem
7. Symmetric germs
8. Mappings of the plane into the plane
9. Boardman-Thom singularities
10. The quadratic differential
11. Finitely determined germs
12. Some elementary algebraic geometry
13. Tougeron's theory
14. The universal unfolding of a singularity
15. The seven elementary catastrophes
16. Proof of the main theorem on universal unfoldings
17. Pictures of the seven elementary catastrophes
Further reading
Indices.