E.M.S. Hitzer

*Mem. Fac. Eng. Fukui Univ.* **50**(1) (2002).

**Abstract:**
This paper treats the fundamentals of the vector differential c
alculus part of universal geometric calculus. Geometric calculus simplifies
and unifies the structure and notation of mathematics for all of science and
engineering, and for technological applications. In order to make the
treatment self-contained, I first compile all important geometric algebra
relationships, which are necessary for vector differential calculus. Then
differentiation by vectors is introduced and a host of major vector
differential and vector derivative relationships is proven explicitly in a
very elementary step by step approach. The paper is thus intended to serve as
reference material, giving details, which are usually skipped in more advanced
discussions of the subject matter.

[Postscript]
309k, gzip compressed

[PDF]
205k

[Geometric Calculus Japan index]