多级矢运算

Multivector Calculus

多级矢运算(Clifford代数或几何代数)比通常的数学工具诸如矢量、张量、旋量及外微分形式有很多优越性。介绍了多级矢运算的基础知识及其复数性质。以刚体转动为例,由二维几何空间到三维几何空间,用多级矢运算来描述,展示了多级矢运算的优越性,体现了物理几何体系包含“点”、“线”、“面”、“体”等空间的复数性质。

Multivector Calculus （Chfford Mgebra or Geometric Mgebra） is much superior to traditional mathematical tools such as vector, tensor, spinor and exterior differential form. It introduces the foundation knowledge and the complex number of Multivector Calculus. Takes the rigid body rotation as examples to illustrate the superiority of Multivector Calculus from two - dimensional algebra spaces to three - dimensional algebra spaces by formulating in terms of Multivector Calculus and embodies that complex spaces which consist of ＂point＂, ＂line＂, ＂plane＂ and ＂body＂.