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Table of Contents

Chapter 1: Introduction
1.1 Background of Study
1.2 Objective of Study
1.3 Limitation of Study
1.4 Scope of Study

Chapter 2: Literature Review
2.1 Definition of Harmonic Functions
2.2 Properties of Harmonic Functions
2.3 Applications of Harmonic Functions in Potential Theory

Chapter 3: Research Methodology
3.1 Data Collection
3.2 Data Analysis Techniques
3.3 Research Design

Chapter 4: Discussion of Findings
4.1 Analysis of Data
4.2 Interpretation of Results
4.3 Comparison with Existing Literature

Chapter 5: Conclusion and Summary
5.1 Summary of Findings
5.2 Conclusion
5.3 Implications for Future Research

Brief Overview of Thesis

The thesis “Investigating the properties of harmonic functions and their applications in potential theory” aims to explore the properties and applications of harmonic functions in potential theory. Chapter 1 provides an introduction to the study, outlining the background, objectives, limitations, and scope of the research. Chapter 2 reviews the existing literature on harmonic functions, discussing their definitions, properties, and applications in potential theory.

Chapter 3 details the research methodology, including data collection methods, analysis techniques, and research design. In Chapter 4, the findings of the study are discussed, with an analysis of data, interpretation of results, and comparison with existing literature. Finally, Chapter 5 presents the conclusion and summary of the thesis, summarizing the findings, drawing conclusions, and discussing implications for future research in the field.

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