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## Details

Document Type: | Book |
---|---|

All Authors / Contributors: |
Ian R Porteous |

ISBN: | 9780521002646 0521002648 9780521810401 052181040X |

OCLC Number: | 1055936849 |

Notes: | Previous ed.: 1994. |

Target Audience: | Specialized. |

Description: | 350p. ; 23 cm. |

Contents: | 1. Plane curves; 2. Some elementary geometry; 3. Plane kinetics; 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. The parabolic line; 14. Involutes of geodesic foliations; 15. The circles of a surface; 16. Examples of surfaces; 17. Flexicords of surfaces; 18. Duality. |

Responsibility: | I.R. Porteous. |

### Abstract:

## Reviews

*Editorial reviews*

Publisher Synopsis

'The very geometric point of view and many exercises induce me to recommend this book for everyone interested in differential geometry of curves and surfaces.' Internationale Mathematische Nachrichten '... a very good and interesting introduction to differential geometry of curves and surfaces, which can be recommended to anybody interested in the subject.' EMS Newsletter "Porteous' approach is distinguished by the extreme richness of the examples he treats, and his novel emphasis on certain concepts--ridges, ribs, umbilics--where third-and-higher-order derivates are crucial. The book's illustrations are helpful and elegant...highly recommended." Choice Read more...

*User-contributed reviews*