Author :
Rui, Wang ; Derui, Zhi
Author_Institution :
Sch. of Sci., Tianjin Univ. of Commerce, Tianjin, China
Abstract :
Clifford Algebra is also known as multi-vector calculus, it has more advantages than the usual mathematical tools like vector, tensor, spinor and exterior differential form. This text introduces the basic knowledge and complex number property of Clifford algebra from the two-dimensional geometric space to the three-dimensional geometric space, showing the superiority of Clifford algebra and reflecting the complex number property of geometric space which was composed of dots, lines, planes and solids.
Keywords :
vectors; Clifford algebra; exterior differential form; multivector calculus; spinor; tensor; three-dimensional geometric space; two-dimensional geometric space; vector; Algebra; Business; Calculus; Educational technology; Mathematics; Physics; Tensile stress; Clifford Algebra; complex number; geometric product; multi-vector; scalar; vector;
Conference_Titel :
Education Technology and Training, 2009. ETT '09. Second International Conference on
Conference_Location :
Sanya
Print_ISBN :
978-0-7695-3936-2
Electronic_ISBN :
978-1-4244-5527-0
DOI :
10.1109/ETT.2009.15