Skip to content
Register Sign in Wishlist
Minkowski Geometry

Minkowski Geometry

£129.00

Part of Encyclopedia of Mathematics and its Applications

  • Date Published: August 1996
  • availability: Available
  • format: Hardback
  • isbn: 9780521404723

£ 129.00
Hardback

Add to cart 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
  • Minkowski geometry is a type of non-Euclidean geometry in a finite number of dimensions in which distance is not 'uniform' in all directions. This book presents the first comprehensive treatment of Minkowski geometry since the 1940s. The author begins by describing the fundamental metric properties and the topological properties of existence of Minkowski space. This is followed by a treatment of two-dimensional spaces and characterisations of Euclidean space among normed spaces. The central three chapters present the theory of area and volume in normed spaces, a fascinating geometrical interplay among the various roles of the ball in Euclidean space. Later chapters deal with trigonometry and differential geometry in Minkowski spaces. The book ends with a brief look at J. J. Schaffer's ideas on the intrinsic geometry of the unit sphere. Minkowski Geometry will appeal to students and researchers interested in geometry, convexity theory and functional analysis.

    • Comprehensive, self-contained treatment
    • Many attractive illustrations
    Read more

    Reviews & endorsements

    ' … volume, isoperimetry, integral geometry and trigonometry … all are admirably treated here by an expert in the field.' Mathematika

    'This is a comprehensive monograph that will serve well both as an introduction and as a reference work.' Monatshefte für Mathematik

    See more 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: August 1996
    • format: Hardback
    • isbn: 9780521404723
    • length: 368 pages
    • dimensions: 242 x 164 x 25 mm
    • weight: 0.718kg
    • contains: 50 b/w illus.
    • availability: Available
  • Table of Contents

    1. The algebraic properties of linear spaces and of convex sets
    2. Norms and norm topologies
    3. Convex bodies
    4. Comparisons and contrasts with Euclidean space
    5. Two dimensional Minkowski spaces
    6. The concept of area and content
    7. Special properties of the Holmes-Thompson definition
    8. Special properties of the Busemann definition
    9. Trigonometry
    10. Various numerical parameters.

  • Author

    A. C. Thompson, Dalhousie University, Nova Scotia

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.
×