The book "Number Theory Pure and Applied Mathematics" is a comprehensive guide to the field of number theory, covering both the pure and applied aspects of the subject. The book begins by introducing the fundamental concepts of number theory, such as prime numbers, congruences, and Diophantine equations, and then delves into more advanced topics such as elliptic curves, modular forms, and cryptography. The author emphasizes the importance of understanding the underlying principles of number theory in order to fully appreciate its applications in various fields, including computer science, coding theory, and cryptography. Throughout the book, the author presents numerous examples and exercises to help readers reinforce their understanding of the material. The book also includes a detailed discussion of the historical development of number theory, highlighting key milestones and breakthroughs in the field. Additionally, the author explores the connections between number theory and other areas of mathematics, such as algebra, geometry, and analysis, demonstrating how number theory provides a powerful framework for solving problems in these fields. One of the unique features of this book is its focus on the practical applications of number theory, particularly in the context of modern technology. The author highlights the crucial role that number theory plays in the development of secure communication protocols, digital signatures, and other cryptographic techniques that are essential for protecting our digital world.

''