It is the purpose of this paper to study the approximation to real functions by certain power series. Specifically, Taylor's series and generalizations of Taylor's series are considered. The importance of the behavior of the remainder, defined in chapter 1, demands a study of the difference between a function and the terms of an approximation sequence. Thus, this paper is devoted to the presentation of various forms of the remainder term when the approximation is by Taylor's expansion or some of its generalizations. / "May, 1955." / Typescript. / Advisor: B. F. Hadmot, Professor Directing Paper. / "Submitted to the Graduate Council of Florida State University in partial fulfillment of the requirements for the degree of Master of Science." / Includes bibliographical references (leaves 72-73).
| Identifer | oai:union.ndltd.org:fsu.edu/oai:fsu.digital.flvc.org:fsu_257218 |
| Contributors | Ratcliff, Leary Braxton (authoraut), Hadnot, B. F. (professor directing thesis.), Florida State University (degree granting institution) |
| Publisher | Florida State University, Florida State University |
| Source Sets | Florida State University |
| Language | English, English |
| Detected Language | English |
| Type | Text, text |
| Format | 1 online resource (iii, 73 leaves), computer, application/pdf |
| Rights | This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). The copyright in theses and dissertations completed at Florida State University is held by the students who author them. |
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