Book contents
- Frontmatter
- Contents
- Preface to the second edition
- Preface to the first edition
- 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, generic surfaces
- Appendix Null sets and Sard's theorem
- Historical note
- Further reading
- References
- Index of notation
- Index
9 - Generic properties of curves
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Preface to the second edition
- Preface to the first edition
- 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, generic surfaces
- Appendix Null sets and Sard's theorem
- Historical note
- Further reading
- References
- Index of notation
- Index
Summary
- Type
- Chapter
- Information
- Curves and SingularitiesA Geometrical Introduction to Singularity Theory, pp. 226 - 239Publisher: Cambridge University PressPrint publication year: 1992