The concept of a "universal Multivector Theory" can be set forth with BASIS UNITS, d_i, i = 1,2,...,n, where the SQUARE OF BASIS UNITS, i = 0,1,...,s is ⁺1, but ¯1 for i = s+1,...,n. Whereas standard complex analysis is limited to the PLANE, Brackx and his colleagues have set s = 1 and generalized complex analysis from the plane to (n+1)-dimensions. In the process, they have generalized Cauchy's Theorem, Cauchy's Integral Formula, The Mean Value Theorem, Taylor and Laurent and Fourier Series, etc. There exist n possible complex numbers of the form, z = x₀ + yd_i, i = 1,2,...,n. Also, monogenic functions (generalizations of analytic functions) are constructed as linear combinations of symmetrized products of those z-functions which satisfy Cauchy-Riemann equations. The generalized concept of residue leads to Green's functions and analytic extension from R_n to R_{n + 1}, and to generalizations of distributions and Fourier and Laplace Transforms. RETURN TO PROPERTIES OF MULTIPRODUCT