Number Theory

This book is designed to serve as a comprehensive textbook for undergraduate and postgraduate students across various academic disciplines. It is particularly well-suited for B.A. and B.Sc. (Pass and Honours) students, as well as M.A. and M.Sc. candidates enrolled in universities throughout India. Additionally, the book caters to second and third-year undergraduate students at universities in North America and Europe, making it a versatile resource for a global audience. The content is structured to support students undertaking an elementary course in Real Analysis or an advanced course in Calculus. It also complements elementary courses in Modern Abstract Algebra, providing foundational knowledge crucial for further studies in mathematics and related fields. To ensure the book is self-contained and accessible to readers with varying backgrounds, basic concepts of Set Theory and Abstract Algebra are thoughtfully included in the appendices. These appendices help bridge gaps in prerequisite knowledge and allow students to grasp advanced topics with greater ease. The book's clear explanations, systematic progression of topics, and inclusion of supplementary material make it an ideal choice for both classroom use and self-study. It balances theoretical rigor with practical applications, enabling students to develop a strong conceptual understanding and problem-solving skills. Overall, this text stands out as a valuable educational tool, empowering students to master core mathematical concepts essential for academic success and future research.