Hildenbrand, Dietmar (2011)
From Grassmann's Vision to Geometric Algebra Computing.
Hermann Graßmann: From Past to Future: Graßmann's Work in Context.
doi: 10.1007/978-3-0346-0405-5_37
Konferenzveröffentlichung, Bibliographie
Kurzbeschreibung (Abstract)
What mathematicians often call Clifford algebra is called geometric 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 operations. 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.
| Typ des Eintrags: | Konferenzveröffentlichung |
|---|---|
| Erschienen: | 2011 |
| Autor(en): | Hildenbrand, Dietmar |
| Art des Eintrags: | Bibliographie |
| Titel: | From Grassmann's Vision to Geometric Algebra Computing |
| Sprache: | Englisch |
| Publikationsjahr: | 2011 |
| Verlag: | Birkhäuser, Boston, Basel, Berlin |
| Veranstaltungstitel: | Hermann Graßmann: From Past to Future: Graßmann's Work in Context |
| DOI: | 10.1007/978-3-0346-0405-5_37 |
| Kurzbeschreibung (Abstract): | What mathematicians often call Clifford algebra is called geometric 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 operations. 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. |
| Freie Schlagworte: | Forschungsgruppe Geometric Algebra Computing (GACO), Geometric algebra (GA), Geometric computing, Conformal Geometric Algebra (CGA) |
| Fachbereich(e)/-gebiet(e): | 20 Fachbereich Informatik 20 Fachbereich Informatik > Graphisch-Interaktive Systeme |
| Hinterlegungsdatum: | 12 Nov 2018 11:16 |
| Letzte Änderung: | 12 Nov 2018 11:16 |
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