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Table of Contents:

Chapter 1: Introduction
1.1 Background of the Study
1.2 Statement of the Problem
1.3 Research Questions
1.4 Objectives of the Study
1.5 Significance of the Study
1.6 Definition of Terms
1.7 Limitation of the Study
1.8 Scope of the Study

Chapter 2: Literature Review
2.1 Theoretical Framework
2.2 Empirical Studies
2.3 Conceptual Framework
2.4 Related Studies
2.5 Summary of Literature Review

Chapter 3: Research Methodology
3.1 Research Design
3.2 Population and Sampling Procedures
3.3 Data Collection Methods
3.4 Data Analysis Techniques
3.5 Ethical Considerations

Chapter 4: Discussion of Findings
4.1 Analysis of Data
4.2 Discussion of Results
4.3 Comparison with Previous Studies
4.4 Implications of Findings
4.5 Recommendations for Future Research

Chapter 5: Conclusion and Summary
5.1 Summary of Findings
5.2 Conclusion
5.3 Recommendations for Practice
5.4 Recommendations for Further Research

Brief Overview:

The thesis “Geometric aspects of arithmetic dynamics of rational maps” explores the intersection of geometry and arithmetic in the context of rational maps. The study aims to understand how the dynamics of rational maps can be influenced by both geometric and arithmetic properties. This involves investigating how the behavior of rational maps on complex numbers is connected to the arithmetic behavior of rational points.

The literature review examines existing research on arithmetic dynamics and rational maps, providing a theoretical framework for the study. The research methodology outlines the design, data collection methods, and analysis techniques used in the study. The discussion of findings presents the results of the analysis and discusses their implications for the field.

The conclusion and summary section summarizes the key findings of the study, draws conclusions based on the results, and provides recommendations for future research. Overall, the thesis aims to contribute to the understanding of geometric aspects of arithmetic dynamics of rational maps and advance the field of mathematical research.

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