Date of Award

4-1968

Degree Type

Master's Essay - Restricted

Degree Name

Master of Science (MS)

Department

Mathematical and Statistical Sciences

Abstract

The existence of analogies between central features of various theories implies the existence of a more fundamental general theory embracing the special theories as particular instances and unifying them as to those central features. (Eliakim Hastings Moore)

This now famous dictum of E. H. Moore is perhaps nowhere better exemplified than in the generalized theory of convergence which he developed. Working with his student, H. L. Smith, Moore noted similarities in the various definitions of convergence, such as those given for functions and sequences, for example, and sought to discover the essential elements which the varied definitions had in common.

Comments

Submitted in partial fulfillment of the requirements for the degree of Master of Science in mathematics

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