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1. Introduction
1.1 Background of the Study
1.2 Statement of the Problem
1.3 Research Questions
1.4 Significance of the Study
1.5 Definition of Key Terms
1.6 Organization of the Study

2. Literature Review
2.1 History of Algebraic Number Fields
2.2 Properties of Algebraic Number Fields
2.3 Previous Research on Constructing Algebraic Number Fields
2.4 Gaps in Literature

3. Research Methodology
3.1 Research Design
3.2 Data Collection Methods
3.3 Sampling Technique
3.4 Data Analysis

4. Discussion of Findings
4.1 Analysis of Constructed Algebraic Number Fields
4.2 Comparison with Existing Number Fields
4.3 Interpretation of Results
4.4 Implications of Findings

5. Conclusion and Summary
5.1 Summary of Key Findings
5.2 Contributions to the Field
5.3 Recommendations for Future Research
5.4 Conclusion

Brief Overview:

The thesis “Constructing algebraic number fields having given properties” focuses on the construction of algebraic number fields with specific properties. The study aims to explore the different methods and techniques used in constructing algebraic number fields and analyze their properties. The research utilizes a qualitative approach, with data collected from mathematical literature and existing algorithms.

The literature review provides a comprehensive overview of the history of algebraic number fields, properties of these fields, and previous research on the topic. The gaps identified in the literature serve as the basis for the current study.

The research methodology section outlines the design of the study, data collection methods, sampling technique, and data analysis process. The discussion of findings chapter presents the analysis of the constructed algebraic number fields, comparison with existing fields, interpretation of results, and implications of the findings.

The conclusion and summary chapter summarizes the key findings, contributions to the field, recommendations for future research, and concludes the thesis. The study contributes to the field of algebraic number theory by providing insights into the construction of algebraic number fields with specific properties.

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