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AN INVESTIGATION OF THE DIFFERENCES BETWEEN REAL AND COMPLEX ANALYSIS

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Date Issued:
2019
Abstract/Description:
The familiar definition of differentiability in Real Analysis has a natural analogue in Complex Analysis. In this thesis we will first develop the theory of single-variable complex differentiable functions, focusing on integration. Next, we will explore how the class of complex differentiable functions compares to the class of real differentiable functions. Finally, we will examine several applications of Complex Analysis to problems in Real Analysis.
Title: AN INVESTIGATION OF THE DIFFERENCES BETWEEN REAL AND COMPLEX ANALYSIS.
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Name(s): Nechita, Ovidiu , author
McGovern, Warren, Thesis advisor
Florida Atlantic University, Degree Grantor
Harriet L. Wilkes Honors College
Type of Resource: text
Genre: Thesis
Date Created: 2019
Date Issued: 2019
Publisher: Florida Atlantic University
Place of Publication: Jupiter, Florida
Physical Form: application/pdf
Extent: 77 p.
Language(s): English
Abstract/Description: The familiar definition of differentiability in Real Analysis has a natural analogue in Complex Analysis. In this thesis we will first develop the theory of single-variable complex differentiable functions, focusing on integration. Next, we will explore how the class of complex differentiable functions compares to the class of real differentiable functions. Finally, we will examine several applications of Complex Analysis to problems in Real Analysis.
Identifier: FAUHT00117 (IID)
Degree granted: Thesis (B.A.)--Florida Atlantic University, Harriet L. Wilkes Honors College, 2019.
Collection: FAU Honors Theses Digital Collection
Note(s): Includes bibliography.
Held by: Florida Atlantic University Libraries
Sublocation: Digital Library
Persistent Link to This Record: http://purl.flvc.org/fau/fd/FAUHT00117
Use and Reproduction: Copyright © is held by the author with permission granted to Florida Atlantic University to digitize, archive and distribute this item for non-profit research and educational purposes. Any reuse of this item in excess of fair use or other copyright exemptions requires permission of the copyright holder.
Use and Reproduction: http://rightsstatements.org/vocab/InC/1.0/
Host Institution: FAU
Is Part of Series: Florida Atlantic University Digital Library Collections.

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