Skip to content
Register Sign in Wishlist
Elementary Geometry of Differentiable Curves

Elementary Geometry of Differentiable Curves
An Undergraduate Introduction

$67.99 (X)

textbook
  • Date Published: May 2001
  • availability: Available
  • format: Paperback
  • isbn: 9780521011075

$ 67.99 (X)
Paperback

Add to cart Add to wishlist

Other available formats:
Hardback


Request examination copy

Instructors may request a copy of this title for examination

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • Here is a genuine introduction to the differential geometry of plane curves for undergraduates in mathematics, or postgraduates and researchers in the engineering and physical sciences. This well-illustrated text contains several hundred worked examples and exercises, making it suitable for adoption as a course text. Key concepts are illustrated by named curves, of historical and scientific significance, leading to the central idea of curvature. The author introduces the core material of classical kinematics, developing the geometry of trajectories via the ideas of roulettes and centrodes, and culminating in the inflexion circle and cubic of stationary curvature.

    • Class tested material
    • Forms a pair with author's previous book
    • Extremely well illustrated
    Read more

    Reviews & endorsements

    "This book is pleasant for a student...It contains many interesting properties and features of curves which usually are not shown in a regular undergraduate course." Mathematical Reviews

    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

    • Date Published: May 2001
    • format: Paperback
    • isbn: 9780521011075
    • length: 238 pages
    • dimensions: 229 x 152 x 17 mm
    • weight: 0.341kg
    • contains: 40 b/w illus.
    • availability: Available
  • Table of Contents

    1. The Euclidean plane
    2. Parametrized curves
    3. Classes of special curves
    4. Arc length
    5. Curvature
    6. Existence and uniqueness
    7. Contact with lines
    8. Contact with circles
    9. Vertices
    10. Envelopes
    11. Orthotomics
    12. Caustics by reflexion
    13. Planar kinematics
    14. Centrodes
    15. Geometry of trajectories.

  • Author

    C. G. Gibson, University of Liverpool
    Chris Gibson received an honours degree in Mathematics from St Andrews University in 1963, and later the degrees of Drs Math and Dr Math from the University of Amsterdam, returning to England in 1967 to begin his 35 year mathematics career at the University of Liverpool. His interests turned towards the geometric areas, and he was a founder member of the Liverpool Singularities Group until his retirement in 2002 as Reader in Pure Mathematics, with over 60 published papers in that area. In 1974 he co-authored the significant Topological Stability of Smooth Mappings, presenting the first detailed proof of Thom's Topological Stability Theorem. In addition to purely theoretical work in singularity theory, he jointly applied singular methods to specific questions about caustics arising in the physical sciences. His later interests lay largely in the applications to theoretical kinematics, and to problems arising in theoretical robotics. This interest gave rise to a substantial collaboration with Professor K. H. Hunt in the Universities of Monash and Melbourne, and produced a formal classification of screw systems. At the teaching level his major contribution was to pioneer the re-introduction of undergraduate geometry teaching. The practical experience of many years of undergraduate teaching was distilled into three undergraduate texts published by Cambridge University Press, now widely adopted internationally for undergraduate (and graduate) teaching.

Sign In

Please sign in to access your account

Cancel

Not already registered? Create an account now. ×

Sorry, this resource is locked

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

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 www.ebooks.com. Please see the permission section of the www.ebooks.com catalogue page for details of the print & copy limits on our eBooks.

Continue ×

Continue ×

Continue ×

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.

Cancel

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.
×