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Table of Contents:
Chapter 1: Introduction
1.1 Background of the Study
1.2 Statement of the Problem
1.3 Objectives of the Study
1.4 Research Questions
1.5 Significance of the Study
1.6 Limitations of the Study
1.7 Scope of the Study
Chapter 2: Literature Review
2.1 Overview of Elliptic Functions
2.2 Applications of Elliptic Functions in Mathematics
2.3 Conformal Mapping and its Importance
2.4 Previous Studies on Conformal Mapping using Elliptic Functions
Chapter 3: Research Methodology
3.1 Research Design
3.2 Data Collection Methods
3.3 Data Analysis Techniques
3.4 Sampling Strategy
3.5 Ethical Considerations
Chapter 4: Discussion of Findings
4.1 Analysis of Data Collected
4.2 Interpretation of Results
4.3 Comparison with Previous Studies
4.4 Implications of Findings
Chapter 5: Conclusion and Summary
5.1 Summary of Findings
5.2 Contribution to the Field
5.3 Recommendations for Future Research
5.4 Conclusion
Overview:
The thesis on “Applications of Elliptic Functions in Conformal Mapping” explores the use of elliptic functions in the field of conformal mapping. The study aims to understand the potential applications of elliptic functions in mapping complex domains onto simpler shapes while preserving angles and proportions. The research methodology includes a comprehensive literature review, data collection, and analysis to provide insights into the effectiveness of using elliptic functions in conformal mapping. The findings of the study will contribute to the existing knowledge in the field and offer recommendations for further research.
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