Theory of Numbers

Number Theory also known as the Theory of Numbers is a foundational branch of mathematics that delves into the properties and relationships of integers. Its roots trace back to ancient times making it one of the oldest and most fundamental areas of mathematical study. Number Theory seeks to unravel the nature of numbers exploring their patterns and interactions.Number Theory's influence extends to various other areas of mathematics including algebra geometry and analysis. The study of modular forms for instance blends concepts from Number Theory with those from complex analysis enriching our understanding of both Number Theory and related mathematical disciplines.The aim of this book Theory Of Numbers is to provide a comprehensive overview of the number theory focusing on its properties relationships and applications in mathematics. Intended for mathematics enthusiasts students and professionals the book aims to elucidate the fundamental concepts of number theory in a clear and concise manner. It covers topics such as prime numbers congruences and Fermat's Last Theorem offering insights into the historical development and modern applications of this branch of mathematics. Through accessible explanations and examples the book aims to deepen the reader's understanding of number theory and its significance in various mathematical disciplines.