A Supplementary Discourse on the Classification and Calculus of Quaternion Hypercomplex Functions - PART 10/10.

This particular submission contains (inter alia) a copy [PART 1/10] of the author's original paper, which was completed on 5th March 2001 and thus comprises a total of 316 handwritten foolscap pages. Bearing in mind that it is a sequel to the author's previous set of submissions, namely - An Introduction to Functions of a Quaternion Hypercomplex Variable - PARTS 1/6 to 6/6, its purpose is to enunciate various definitions and theorems, which pertain to the following topics, i.e. (a) the classification of quaternion hypercomplex functions; (b) further calculus of quaternion hypercomplex functions; (c) series expansions of quaternion hypercomplex functions. Many of the concepts presented therein are analogous to well established notions from real and complex variable analysis with any divergent results being due to the non-commutativity of quaternion products.