Skip to content
Register Sign in Wishlist
Look Inside Geometric Differentiation

Geometric Differentiation
For the Intelligence of Curves and Surfaces

2nd Edition

$168.00 (C)

  • Date Published: December 2001
  • availability: Available
  • format: Hardback
  • isbn: 9780521810401

$ 168.00 (C)

Add to cart Add to wishlist

Other available formats:

Looking for an examination copy?

This title is not currently available for examination. However, if you are interested in the title for your course we can consider offering an examination copy. To register your interest please contact providing details of the course you are teaching.

Product filter button
About the Authors
  • This is a revised and extended version of the popular first edition. Inspired by the work of Thom and Arnold on singularity theory, such topics as umbilics, ridges and subparabolic lines, all robust features of a smooth surface, which are rarely treated in elementary courses on differential geometry, are considered here in detail. These features are of immediate relevance in modern areas of application such as interpretation of range data from curved surfaces and the processing of magnetic resonance and cat-scan images. The author has included many exercises and examples to illustrate the results proved.

    • Revised and up-dated edition
    • Covers many topics not covered in elementary differential geometry courses
    • Many examples and exercises
    Read more

    Reviews & endorsements

    "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

    Customer reviews

    Not yet reviewed

    Be the first to review

    Review was not posted due to profanity


    , create a review

    (If you're not , sign out)

    Please enter the right captcha value
    Please enter a star rating.
    Your review must be a minimum of 12 words.

    How do you rate this item?


    Product details

    • Edition: 2nd Edition
    • Date Published: December 2001
    • format: Hardback
    • isbn: 9780521810401
    • length: 350 pages
    • dimensions: 237 x 158 x 23 mm
    • weight: 0.704kg
    • contains: 39 b/w illus. 26 colour illus.
    • availability: Available
  • Table of 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.

  • Author

    I. R. Porteous, University of Liverpool

Sorry, this resource is locked

Please register or sign in to request access. If you are having problems accessing these resources please email

Register Sign in
Please note that this file is password protected. You will be asked to input your password on the next screen.

» Proceed

You are now leaving the Cambridge University Press website. Your eBook purchase and download will be completed by our partner Please see the permission section of the catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×
warning icon

Turn stock notifications on?

You must be signed in to your Cambridge account to turn product stock notifications on or off.

Sign in Create a Cambridge account arrow icon

Find content that relates to you

Join us online

This site uses cookies to improve your experience. Read more Close

Are you sure you want to delete your account?

This cannot be undone.


Thank you for your feedback which will help us improve our service.

If you requested a response, we will make sure to get back to you shortly.

Please fill in the required fields in your feedback submission.