The purpose of this paper is to investigate the nature and practical uses of Chebyshev polynomials. Chapter I gives recognition to mathematicians responsible for studies in this area. Chapter II enumerates several mathematical situations in which the polynomials naturally arise and suggests reasons for the pursuance of their study. Chapter III includes: Chebyshev polynomials as related to "best" polynomial approximation, Chebyshev series, and methods of producing polynomial approximations to continuous functions. Chapter IV discusses the use of Chebyshev polynomials to solve certain differential equations and Chebyshev-Gauss quadrature.
| Identifer | oai:union.ndltd.org:unt.edu/info:ark/67531/metadc663496 |
| Date | 12 1900 |
| Creators | Forisha, Donnie R. |
| Contributors | Allen, John Ed, 1937-, Parrish, Herbert C. |
| Publisher | North Texas State University |
| Source Sets | University of North Texas |
| Language | English |
| Detected Language | English |
| Type | Thesis or Dissertation |
| Format | iv, 89 leaves: ill., Text |
| Rights | Public, Forisha, Donnie R., Copyright, Copyright is held by the author, unless otherwise noted. All rights |
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