Capacity

			Experience				Study	Research
			Employment	Consulting	Teaching
					undergrad	grad
Mathematics	Real Variables						x	x
	Complex Variables						x	x
	Geometry						x	x
	Topology						x	x
	Algebra						weak
	Logic						x
	Number Theory						none
	miscellaneous	Algebraic Topology					x	x
		Linear Algebra					x	x
		Information Theory					x	x
		Partial Differential Equations				x
		College Algebra			x
		Crystallography**					x
		Modern Network Synthesis*					x	x
Computer Science	data base			x				x
	programming			x
Physics	Sophomore Physics				x
	General Relativity						x
	Electrodynamics						x
	Quantum Mechanics						x
	Optics						x
	Solid State						x
Chemistry	Physical Chemistry	Photographics		x			x
		Electrochemistry						x
		Thermodynamics				x	x
Engineering	Electrical	Electronics	Senior EE-A
Scientist			Research

**Crystallography may be considered either a branch of Mathematics, Physical Chemistry, or Physics.
*Modern Network Synthesis may be considered either a branch of Mathematics, Physics, or Electrical Engineering.
The foregoing table includes neither undergraduate nor graduate studies. The column "study" refers to independent study beyond the level of a PhD.
I have approximately 90 units of graduate credit -- more than enough for a PhD with a double major in Mathematics and Physics.

Documentation

GS-15 (Research Scientist) Mathematics in 1968 and Physics in 1978.
California Community College life instructor's credentials in Mathematics and Physics in 1976.

Demonstration

authored and published a textbook on Plane and Spherical Trigonometry and Geometry.
- adopted as official textbook for Spherical Trigonometry at the Texas A&M University in 2000.
- developed from the concept of an angle and its measure as contrasted to the conventional line and its length.
- provides a guide to the solution of problems.
- Excel spread-sheet for navigation.
authored and published a brief summary of the original research in Linear Algebra. and a textbook in 2004.
authored and published _Astrolabium_. (Spherical Trigonometry).
- instructions for use, proofs of each theorem, and instructions for construction.
devised an algorithm for the computation of the incomplete third elliptic integral. (Complex Variables)
introduced use of AC methods for measurement of conductivity & dielectric constant of a liquid, to circumvent the polarization inherent in DC methods. (electrochemistry)
principal of first-ever in US seminar in Partial Differential Equations, a decade prior to the availability of a textbook. (Partial Differential Equations)
authored a Treatise on the Theory of Information. (Real Variables)
- solved the Three Channels in Cascade problem. (Algebraic Topology)
- proved uniqueness and devised a construction algorithm for the Metrization problem. (Topology & Geometry)
- the measure of an angle is invariant under a transformation which is a topological homeomorphism & a group isomorphism.
designed a NAS (= network attached storage). (programming & data base)
developed the TMG meta-compiler, which originally was invented my McClure. (Computer Science)
- devised an improved hashing algorithm. (data base)
developed an extensive library of Linear Algebra programs. (Linear Algebra & programming). rewrote it in the C language and made it available as shareware in 2004.
technical supervision: Research Section at Hoffman Laboratories & Research Department at JPL

Defense

do you feel lucky today?