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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 Scope and Limitations of the Study

Chapter 2: Literature Review
2.1 Historical Development of Algebraic Number Theory
2.2 Fundamental Concepts in Algebraic Number Theory
2.3 Class Field Theory and its Applications
2.4 Recent Advances in Algebraic Number Theory and Class Field 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 Results
4.2 Comparison with Existing Literature
4.3 Implications of Findings
4.4 Recommendations for Future Research

Chapter 5: Conclusion and Summary
5.1 Recap of Key Findings
5.2 Contributions to the Field
5.3 Limitations of the Study
5.4 Suggestions for Further Research

Brief Overview of Thesis on Algebraic Number Theory and Class Field Theory

Algebraic number theory is a branch of mathematics that studies the properties of number fields and algebraic integers. It explores the relationships between algebraic numbers and their extensions, as well as their arithmetic properties. Class field theory, on the other hand, is a fundamental topic in algebraic number theory that deals with abelian extensions of number fields.

The thesis on Algebraic Number Theory and Class Field Theory aims to provide a comprehensive overview of these two interconnected areas of mathematics. It will delve into the historical development of algebraic number theory and the key concepts that underpin the field. Furthermore, it will explore the fundamental ideas of class field theory and its applications in various areas of mathematics.

The thesis will also discuss recent advances in algebraic number theory and class field theory, highlighting the current state of research in these fields. By analyzing and synthesizing existing literature, the thesis aims to contribute to the body of knowledge in algebraic number theory and class field theory.

Overall, the thesis will provide a critical examination of the key theories, concepts, and methodologies in algebraic number theory and class field theory. It will offer insights into the significance of these areas of mathematics and their implications for further research and development.

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