Skip to content
Register Sign in Wishlist
Geometries on Surfaces

Geometries on Surfaces

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: October 2001
  • availability: Available
  • format: Hardback
  • isbn: 9780521660587

Hardback

Add to wishlist

Other available formats:
eBook


Looking for an inspection copy?

This title is not currently available on inspection

Description
Product filter button
Description
Contents
Resources
Courses
About the Authors
  • The projective, Möbius, Laguerre, and Minkowski planes over the real numbers are just a few examples of a host of fundamental classical topological geometries on surfaces. This book summarizes all known major results and open problems related to these classical point-line geometries and their close (nonclassical) relatives. Topics covered include: classical geometries; methods for constructing nonclassical geometries; classifications and characterizations of geometries. This work is related to many other fields including interpolation theory, convexity, the theory of pseudoline arrangements, topology, the theory of Lie groups, and many more. The authors detail these connections, some of which are well-known, but many much less so. Acting both as a reference for experts and as an accessible introduction for graduate students, this book will interest anyone wishing to know more about point-line geometries and the way they interact.

    • Comprehensive survey of geometries on planes
    • Can be read as both an introduction and a reference
    • Contains sections on future research directions
    Read more

    Reviews & endorsements

    'The main objective of the book, to give an intuitive and fairly complete picture of the wealth of geometries living on surfaces and of the beauty of the subject, has been accomplished in an excellent way. The text provides an easily accessible and well-motivated introduction to topological geometry.' Zentralblatt für Mathematik und ihre Grenzgebiete Mathematics Abstracts

    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: October 2001
    • format: Hardback
    • isbn: 9780521660587
    • length: 514 pages
    • dimensions: 234 x 156 x 29 mm
    • weight: 0.89kg
    • contains: 90 b/w illus.
    • availability: Available
  • Table of Contents

    1. Geometries for pedestrians
    2. Flat linear spaces
    3. Spherical circle planes
    4. Toroidal circle planes
    5. Cylindrical circle planes
    6. Generalized quadrangles
    7. Tubular circle planes
    Appendices.

  • Authors

    Burkard Polster, University of Adelaide

    Günter Steinke, University of Canterbury, Christchurch, New Zealand

Related Books

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 ×
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.

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.
×