Table of Contents

1. Plane curves; 2. Linear and projective spaces; 3. Plane kinematics; 4. The derivatives of a map; 5. Curves on the unit sphere; 6. Space curves; 7. k-times linear forms; 8. Probes; 9. Contact; 10. Surfaces in R3; 11. Ridges and ribs; 12. Umbilics; 13. Parabolic lines; 14. Involutes of geodesic foliations; 15. The circles of a surfaces; 16. Examples of surfaces; References.

Promotional Information

In this book elementary differential geometry is approached from a new standpoint, one inspired by Thom's work on singularity theory. This textbook provides a unique exposition of surface theory.

Reviews

"This book will be a source of inspiration for research mathematicians and students of visual geometry for years to come." Thomas F. Banchoff, American Scientist