Skip to content
Register Sign in Wishlist

Finite Geometry and Combinatorial Applications


Part of London Mathematical Society Student Texts

  • Author: Simeon Ball, Universitat Politècnica de Catalunya, Barcelona
  • Date Published: July 2015
  • availability: Available
  • format: Hardback
  • isbn: 9781107107991

£ 126.00

Add to cart Add to wishlist

Other available formats:

Looking for an inspection copy?

This title is not currently available on inspection

Product filter button
About the Authors
  • The projective and polar geometries that arise from a vector space over a finite field are particularly useful in the construction of combinatorial objects, such as latin squares, designs, codes and graphs. This book provides an introduction to these geometries and their many applications to other areas of combinatorics. Coverage includes a detailed treatment of the forbidden subgraph problem from a geometrical point of view, and a chapter on maximum distance separable codes, which includes a proof that such codes over prime fields are short. The author also provides more than 100 exercises (complete with detailed solutions), which show the diversity of applications of finite fields and their geometries. Finite Geometry and Combinatorial Applications is ideal for anyone, from a third-year undergraduate to a researcher, who wishes to familiarise themselves with and gain an appreciation of finite geometry.

    • A one-stop introduction to finite geometry and its applications, appealing to a variety of researchers working with combinatorial objects such as codes, graphs and designs
    • More than 100 exercises with detailed solutions, making the book suitable for self-study
    • A rigorous algebraic approach to finite projective and polar spaces
    Read more

    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: July 2015
    • format: Hardback
    • isbn: 9781107107991
    • length: 298 pages
    • dimensions: 239 x 15 x 43 mm
    • weight: 0.57kg
    • contains: 35 b/w illus. 105 exercises
    • availability: Available
  • Table of Contents

    1. Fields
    2. Vector spaces
    3. Forms
    4. Geometries
    5. Combinatorial applications
    6. The forbidden subgraph problem
    7. MDS codes
    Appendix A. Solutions to the exercises
    Appendix B. Additional proofs
    Appendix C. Notes and references

  • Author

    Simeon Ball, Universitat Politècnica de Catalunya, Barcelona
    Simeon Ball is a senior lecturer in the Department of Applied Mathematics IV at Universitat Politècnica de Catalunya, Barcelona. He has published over 50 articles and been awarded various prestigious grants, including the Advanced Research Fellowship from EPSRC in the UK and the Ramon y Cajal grant in Spain. In 2012 he proved the MDS conjecture for prime fields, which conjectures that all linear codes over prime fields that meet the Singleton bound are short. This is one of the oldest conjectures in the theory of error-correcting codes.

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.