IDEAS home Printed from https://ideas.repec.org/h/spr/sprchp/978-3-0346-0405-5_37.html
   My bibliography  Save this book chapter

From Grassmann’s vision to geometric algebra computing

In: From Past to Future: Graßmann's Work in Context

Author

Listed:
  • Dietmar Hildenbrand

    (TU Darmstadt)

Abstract

What mathematicians often call Clifford algebra is calledgeometric algebra if the focus is on the geometric meaning of the algebraic expressions and operators. Geometric algebra is a mathematical framework to easily describe geometric concepts and oper- ations. It allows us to develop algorithms fast and in an intuitive way. It is based on the work of Hermann Grassmann [A2] and his vision of a general mathematical language for geometry. William Clifford combined Grassmann’s exterior algebra and Hamilton’s quaternions [Clifford 1882a, 1882b]. Pioneering work has been done by David Hestenes, who first applied geometric algebra to problems in mechanics and physics [Hestenes and Sobczyk 1984; Hestenes 1985].His work culminated some years ago in the invention of conformal geometric algebra [Hestenes 2001].

Suggested Citation

  • Dietmar Hildenbrand, 2011. "From Grassmann’s vision to geometric algebra computing," Springer Books, in: Hans-Joachim Petsche & Albert C. Lewis & Jörg Liesen & Steve Russ (ed.), From Past to Future: Graßmann's Work in Context, pages 423-433, Springer.
    • Handle: RePEc:spr:sprchp:978-3-0346-0405-5_37
    DOI: 10.1007/978-3-0346-0405-5_37
    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

    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:978-3-0346-0405-5_37. 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.