Year

2024

Season

Fall

Paper Type

Master's Thesis

College

College of Arts and Sciences

Degree Name

Master of Science (MS)

Department

Mathematics & Statistics

NACO controlled Corporate Body

University of North Florida. Department of Mathematics and Statistics

Committee Chairperson

Dr. Mei-Qin Zhan

Second Advisor

Dr. Daniel Dreibelbis

Rights Statement

http://rightsstatements.org/vocab/InC/1.0/

Third Advisor

Dr. Mohammad Rahman

Department Chair

Dr. Richard Patterson

College Dean

Dr. Kaveri Subrahmanyam

Abstract

This thesis begins with an introduction to linear and topological spaces and then defines linear topological spaces. It studies key properties such as neighborhoods, convexity, reflexivity, and weak and weak* topologies. Finally, it concludes with solving non-linear partial differential equations.

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