The Modern Elements Volume I: Advance Field Mathematics

About twentythree hundred years ago Euclid brought together all of the mathematics of his time as a deductive system into thirteen books called The Elements. So too I have brought together all of the primary mathematics and science of modern time into two volumes called The Modern Elements. Volume I of this thesis is a review of tensor calculus as a deductive system of mathematics beginning with set theory to parallel Riemannian hypersurfaces. Volume ll applies the first book and leads to a physics review of special and general relativity in order to explore Ge fields of force at a distance and the consequences of their union.

Randall Shev graduated from California State University of Sacramento as an Electronic, Electrical Engineer with a minor in mathematics and has worked for some thirty years in a variety of fields in Engineering and Software. He developed hardware and software for Communication Satellites and the Semiconductor industry. He has taught object oriented programming languages at California State University of Santa Cruz, California State University of San Jose and Evergreen Valley College. He currently teaches mathematics.