Quaternions and Geometric Algebra

Quaternions and Geometric Algebra (Quaternionen und Geometrische Algebra)

Martin Erik Horn

Abstract: In the last one and a half centuries, the analysis of quaternions has not only led to further developments in mathematics but has also been and remains an important catalyst for the further development of theories in physics. At the same time, Hestenes geometric algebra provides a didactically promising instrument to model phenomena in physics mathematically and in a tangible manner. Quaternions particularly have a catchy interpretation in the context of geometric algebra which can be used didactically. The relation between quaternions and geometric algebra is presented with a view to analysing its didactical possibilities.

Full paper: http://arxiv.org/ftp/arxiv/papers/0709/0709.2238.pdf

Comments: 22 pages, 7 figures, in English and German

Subjects: Physics Education

Journal: Volkhard Nordmeier, Arne Oberlaender (Eds.): Tagungs-CD des Fachverbandes Didaktik der Physik der DPG in Kassel, Beitrag 28.2, ISBN 978-3-86541-190-7, LOB – Lehmanns Media, Berlin 2006 (in German)


Leave a comment

Filed under publications

Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out / Change )

Twitter picture

You are commenting using your Twitter account. Log Out / Change )

Facebook photo

You are commenting using your Facebook account. Log Out / Change )

Google+ photo

You are commenting using your Google+ account. Log Out / Change )

Connecting to %s