Analytic functions without Cauchy integral theorem
dc.contributor.advisor | Wright, Martin | |
dc.contributor.committeeMember | Ingram, William T. | |
dc.contributor.committeeMember | Sinkhorn, Richard D. | |
dc.contributor.committeeMember | McElrath, Eby N. | |
dc.creator | Mocega, Esther E. | |
dc.date.accessioned | 2022-06-22T13:40:17Z | |
dc.date.available | 2022-06-22T13:40:17Z | |
dc.date.issued | 1968 | |
dc.description.abstract | Cauchy's Theorem. Let R be a simply connected domain and f a function on R to E[squared] which is differentiable over R. Let C be any closed rectifiable curve in R. Then I [integral][lowerd C]f(z)dz = 0. Through the years Cauchy's Theorem was the only means of proving that if a complex valued function f(z) is differentiable over a domain R then f(z) has derivatives of all orders in R. A proof of the above statement without the use of an Integral was given for the first time in 1960 by H. E. Connell, The purpose of this thesis is to make a resume of all the theorems leading to Connell's proof. | |
dc.description.department | Mathematics, Department of | |
dc.format.digitalOrigin | reformatted digital | |
dc.format.mimetype | application/pdf | |
dc.identifier.other | 13655430 | |
dc.identifier.uri | https://hdl.handle.net/10657/9717 | |
dc.language.iso | en | |
dc.rights | This item is protected by copyright but is made available here under a claim of fair use (17 U.S.C. Section 107) for non-profit research and educational purposes. Users of this work assume the responsibility for determining copyright status prior to reusing, publishing, or reproducing this item for purposes other than what is allowed by fair use or other copyright exemptions. Any reuse of this item in excess of fair use or other copyright exemptions requires express permission of the copyright holder. | |
dc.title | Analytic functions without Cauchy integral theorem | |
dc.type.dcmi | Text | |
dc.type.genre | Thesis | |
thesis.degree.college | College of Arts and Sciences | |
thesis.degree.department | Mathematics, Department of | |
thesis.degree.discipline | Mathematics | |
thesis.degree.grantor | University of Houston | |
thesis.degree.level | Masters | |
thesis.degree.name | Master of Science |
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