Date of Award
Master of Science (MS)
Dr. E.E. Colyer
The purpose of this thesis is to follow the development of the asymptotic series from the beginning made by Euler, in his solution of problems, to the modern applications of asymptotic series, also to present a definition and an analysis of asymptotic series, explain some different theories of their use, and show the ways in which they find common usage. The use of asymptotic series is a comparative new development in the field of applied mathematics. The divergent series were not used as a method of calculation until Euler showed that they gave close approximations in the solution of problems. The study is of interest because of the number of applied uses we have for asymptotic series. These applications are used in many fields of scientific research. The ways in which an asymptotic series solution may be derived for a problem are fascinating because of the ingenuity by which they are set up. The material was taken from works on the theory and the applied use of asymptotic series, and from correspondence with the Engineering Department of the General Electric Company, Schenectady, New York.
Martin, Bernard, "Asymptotic Series" (1939). Master's Theses. 301.
Copyright 1939 Bernard Martin