Ebook: Quaternions and Geometric Algebra
Author: Horn M.E.
- Genre: Mathematics
- Tags: Математика, Комплексное исчисление
- Language: English
- pdf
German Physical Society, Spring Conference Kassel 2006, - 22 c.
In the last one and a half centuries, the analysis of quaternions has not only led to further de-velopments 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 particular-ly have a catchy interpretation in the context of geometric algebra which can be used didacti-cally. The relation between quaternions and geometric algebra is presented with a view to ana-lysing its didactical possibilities.
In the last one and a half centuries, the analysis of quaternions has not only led to further de-velopments 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 particular-ly have a catchy interpretation in the context of geometric algebra which can be used didacti-cally. The relation between quaternions and geometric algebra is presented with a view to ana-lysing its didactical possibilities.
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