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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 Study
1.5 Significance of the Study
1.6 Scope of Study
1.7 Limitations of Study
Chapter 2: Literature Review
2.1 Overview of Combinatorial Game Theory
2.2 Surreal Numbers and Games
2.3 Previous Studies on Combinatorial Game Theory
2.4 Applications of Combinatorial Game Theory
Chapter 3: Research Methodology
3.1 Research Design
3.2 Data Collection Methods
3.3 Data Analysis Techniques
3.4 Sampling Techniques
3.5 Ethical Considerations
Chapter 4: Discussion of Findings
4.1 Analysis of Data
4.2 Interpretation of Results
4.3 Comparison with Existing Literature
4.4 Implications of Findings
Chapter 5: Conclusion and Summary
5.1 Summary of Findings
5.2 Conclusions
5.3 Recommendations for Future Research
5.4 Practical Implications of the Study
Brief Overview on Thesis “Combinatorial Game Theory: Surreal Numbers and Games”
Combinatorial Game Theory is a branch of mathematics that deals with mathematical games of strategy. The theory of surreal numbers, introduced by John H. Conway in 1976, provides a foundation for analyzing combinatorial games. This thesis explores the relationship between surreal numbers and combinatorial games, and investigates their applications in various fields such as computer science, economics, and game theory.
The literature review examines previous studies on combinatorial game theory and surreal numbers, highlighting the significance of these concepts in understanding strategic decision-making in games. The research methodology section outlines the design of the study, data collection methods, and analysis techniques used to investigate the topic.
The discussion of findings presents an analysis of the data collected, interprets the results, and compares them with existing literature. The conclusion and summary section summarizes the key findings of the study, draws conclusions, and provides recommendations for future research in this area.
Overall, this thesis contributes to the understanding of combinatorial game theory and its applications in various fields, showcasing the importance of surreal numbers in analyzing strategic interactions in games.
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