The line integral and its applications

UNCG Author/Contributor (non-UNCG co-authors, if there are any, appear on document)
Miriam Huggins (Creator)
The University of North Carolina at Greensboro (UNCG )
Web Site:
Anne Lewis

Abstract: 1. Introduction. Mathematical theory has two important fields of application: (1) to physical situations and (2) in the development of further mathematical theory which may in turn have practical applications. It is logic or the deductive element in mathematical reasoning which enables us to produce a theory before we have observed the physical situation to which it is applicable. It is by induction that we are able to test our findings. It is because these two types of reasoning are so closely interwoven in the development of mathematical theory that it is necessary to consider both the major fields of application in order to establish the validity and to understand more fully the implications of our mathematical knowledge. The line integral, with which this paper is concerned is a part of the subject matter of advanced calculus. As such, it is necessary to the development of the theory of functions, and hence is of prime importance to that whole field of mathematics known as mathematical analysis. In this paper we shall define the line integral, present the theory which establishes its existence and show how such an integral is useful in both the major fields of application.

Additional Information

Honors Project
Language: English
Date: 1951

Email this document to