J. W. Bruce, P. J. Giblin

Curves and Singularities

A Geometrical Introduction to Singularity Theory

• Broschiertes Buch

Produktbeschreibung

This second edition is an invaluable textbook for anyone who would like an introduction to the modern theories of catastrophies and singularities.

Produktdetails

• Verlag: Cambridge University Press
• 2. Auflage
• Seitenzahl: 340
• Erscheinungstermin: 19. August 1992
• Englisch
• Abmessung: 229mm x 152mm x 20mm
• Gewicht: 553g
• ISBN-13: 9780521429993
• ISBN-10: 0521429994
• Artikelnr.: 22430673

Inhaltsangabe

1. Introductory example: a gravitational catastrophe machine
2. Curves, and functions on them
3. More about functions
4. Regular values and smooth manifolds
5. Envelopes
6. Unfoldings
7. Unfoldings: applications
8. Transversality
9. Generic properties of curves
10. More on unfoldings
11. Singular points, several variables and generic surfaces
Appendix: Null sets and Sard's theorem.