IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-642-17286-1_13.html
   My bibliography  Save this book chapter

Diagram Techniques

In: Perspectives on Projective Geometry

Author

Listed:
  • Jürgen Richter-Gebert

    (TU München, Zentrum Mathematik (M10) LS Geometrie)

Abstract

It sometimes happens that reading a mathematical article sheds a completely new light on subjects that one considered “personally well-under stood.” So it happened to me when I did some research related to solving cubic equations and stumbled across a series of papers written by the computer scientist Jim Blinn. The series was essentially about the expressive power of tensor calculus applied to geometry [8, 9, 10, 11]. I always hated working with tensors and avoided them wherever possible, because tensor notation tends either to be very abstract or to clutter all the essential information of a formula into indices and indices of indices and indices of indices of indices. Jim Blinn’s papers were different. There tensor formulas were encoded as diagrams, and suddenly all those terrible index battles became geometrically meaningful structures.

Suggested Citation

  • Jürgen Richter-Gebert, 2011. "Diagram Techniques," Springer Books, in: Perspectives on Projective Geometry, chapter 13, pages 227-246, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-17286-1_13
    DOI: 10.1007/978-3-642-17286-1_13
    as

    Download full text from publisher

    To our knowledge, this item is not available for download. To find whether it is available, there are three options:
    1. Check below whether another version of this item is available online.
    2. Check on the provider's web page whether it is in fact available.
    3. Perform a
    for a similarly titled item that would be available.

    More about this item

    Keywords

    ;
    ;
    ;
    ;
    ;

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:spr:sprchp:978-3-642-17286-1_13. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    We have no bibliographic references for this item. You can help adding them by using this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Sonal Shukla or Springer Nature Abstracting and Indexing (email available below). General contact details of provider: http://www.springer.com .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.