Clifford Algebra and Hypercomplex Number as well as Their Applications in Physics

The Clifford algebra is a unification and generalization of real number, complex quaternion, vector algebra, which accurately faithfully characterizes the intrinsic properties space-time, providing unified, standard, elegant, open language tools for numerous complicated mathematical physical theories. So it worth popularizing in teaching undergraduate physics mathematics. algebras can be directly generalized to 2n-ary associative algebras. In this generalization, matrix representation orthonormal basis space-time plays an important role. carries more information than abstract definition, such as determinant definition inverse elements. Without representation, discussion hypercomplex numbers will difficult. zero norm set closed special geometric meanings, like light-cone realistic has no substantial effect on algebraic calculus. equations expressed have simple formalism, symmetrical structure, standard derivation, complete content. Therefore, we hope that magical new large synthesis modern science.