Skip to content
Register Sign in Wishlist
Finite Packing and Covering

Finite Packing and Covering

£64.00

Part of Cambridge Tracts in Mathematics

  • Date Published: October 2004
  • availability: Available
  • format: Hardback
  • isbn: 9780521801577

£ 64.00
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
  • Finite arrangements of convex bodies were intensively investigated in the second half of the twentieth century. Connections to many other subjects were made, including crystallography, the local theory of Banach spaces, and combinatorial optimisation. This book, the first one dedicated solely to the subject, provides an in-depth state-of-the-art discussion of the theory of finite packings and coverings by convex bodies. It contains various new results and arguments, besides collecting those scattered around in the literature, and provides a comprehensive treatment of problems whose interplay was not clearly understood before. In order to make the material more accessible, each chapter is essentially independent, and two-dimensional and higher-dimensional arrangements are discussed separately. Arrangements of congruent convex bodies in Euclidean space are discussed, and the density of finite packing and covering by balls in Euclidean, spherical and hyperbolic spaces is considered.

    • First of its kind
    • Comprehensive theory presented, yet the chapters are essentially independent
    • Various new results besides collecting the known ones, plus many known arguments are simplified
    Read more

    Reviews & endorsements

    'Many of the sections end with interesting and stimulating open problems, and each chapter closes with a brief survey of related problems. The material is presented in a clear and concise way. The author has succeeded in providing a unified treatment of all these different threads of finite packing and covering problems. … All in all, however, this book is a unique and indispensable source for everyone interested in finite packing and covering of convex bodies.' Bulletin of the London Mathematical Society

    ' … a unique and indispensable source for everyone interested in finite packing and covering of convex bodies.' Bulletin of the LMS

    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: October 2004
    • format: Hardback
    • isbn: 9780521801577
    • length: 400 pages
    • dimensions: 237 x 162 x 30 mm
    • weight: 0.76kg
    • availability: Available
  • Table of Contents

    Preface
    Notation
    Part I. Arrangements in Dimension Two:
    1. Congruent domains in the Euclidean plane
    2. Translative arrangements
    3. Parametric density
    4. Packings of circular discs
    5. Coverings by circular discs
    Part II. Arrangements in Higher Dimensions:
    6. Packings and coverings by spherical balls
    7. Congruent convex bodies
    8. Packings and coverings by unit balls
    9. Translative arrangements
    10. Parametric density
    Appendix
    Bibliography
    Index.

  • Author

    Károly Böröczky, Jr, Hungarian Academy of Sciences, Budapest

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.
×