"On Absolutely Convergent Series" by Emery J. Szmrecsanyi
 

Date of Award

5-1961

Degree Type

Master's Essay - Restricted

Degree Name

Master of Science (MS)

Department

Mathematical and Statistical Sciences

First Advisor

F.J. Wagner

Abstract

When dealing with an unconditionally convergent series, one finds that no matter how its terms are arranged it converges to one and the same limit. Hence the limit depends on the terms themselves alone rather than on how they are arranged. Then, there is no reason why one cannot talk about series of this type by considering the subscripts of the terms as a set with no ordering, rather than a sequence. In this paper the objective is precisely to show that this can be done.

Comments

THIS ESSAY IS SUBMITTED TO THE FACULTY OF THE DEPARTMENT OF MATHEMATICS OF MARQUETTE UNIVERSITY IN PARTH.L FULFILLMENT OF THE REQUIREMENT FOR THE DEGREE OF MASTER OF SCIENCE, Milwaukee, Wisconsin.

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