AN INVESTIGATION OF THE DIFFERENCES BETWEEN REAL AND COMPLEX ANALYSIS

Author

• Ovidiu Nechita

Date of Award

2019

Document Type

Dissertation/Thesis

Submission Date

October 2026

Thesis/Dissertation Advisor [Chair]

McGovern, Warren

Abstract

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.

Comments

Includes bibliography.

Recommended Citation

Nechita, Ovidiu, "AN INVESTIGATION OF THE DIFFERENCES BETWEEN REAL AND COMPLEX ANALYSIS" (2019). Harriet L Wilkes Honors College Theses 2010 - 2019. 398.
https://digitalcommons.fau.edu/etd_honors_2/398

Extent

77 p.

Identifier

FAUHT00117