Introduction to Number Theory

The book "Introduction to Number Theory" covers divisibility, prime factorization, congruences, quadratic reciprocity, and algebraic ideas, with a final chapter on algebraic systems. It has applications in cryptography and other areas.

Format: Hardback
Length: 148 pages
Publication date: 24 March 2023
Publisher: Taylor & Francis Ltd

Here is the rephrased text:

Number Theory: An Introduction encompasses the fundamental principles of an introductory number theory course, delving into topics such as divisibility, prime factorization, congruences, and quadratic reciprocity. While the instructor has the flexibility to select additional topics, the author's primary goal is to provide a concise and clear exposition. The text adopts a gradual and methodical approach to presenting proof techniques and proofs, ensuring a thorough understanding.

The book employs a versatile approach to incorporating algebraic concepts, making it suitable for instructors who wish to extend the material into a broader context. However, these concepts are introduced in a non-essential manner, allowing instructors to tailor the curriculum to their specific needs.

A concluding chapter focuses on algebraic systems, such as the Gaussian integers, assuming no prior exposure to abstract algebra. This chapter serves as a valuable resource for students, as it highlights the subtle idea of unique factorization into primes and presents it in an engaging and accessible manner.

Number theory finds applications in various fields, including cryptography, further enhancing the interest of instructors and students alike. The book offers comprehensive coverage of these applications, providing a solid foundation for understanding the practical implications of number theory in modern mathematics.

Dimension: 234 x 156 (mm)
ISBN-13: 9781032332055