Master the essentials of number theory with a compact, classroom-friendly introduction. This book presents the core ideas of the subject in clear, brief chapters and is designed for beginners. It collects fundamental results, practical methods, and carefully chosen exercises that reinforce learning.
It lays out the basic properties of integers, divisibility, and prime numbers; introduces congruences and modular arithmetic; and presents key theorems from Fermat and Wilson. The material is drawn from lectures and is organized to help readers build confidence as they work through the topics and problems.
- Foundational notions and laws of arithmetic, including divisors, units, and factoring.
- Fundamental properties of congruences, modular arithmetic, and simple solution methods.
- Theorems of Fermat and Wilson, with corollaries and practical implications.
- A broad set of exercises, from straightforward to challenging, to reinforce understanding.
Ideal for students beginning number theory, and for teachers seeking a compact, approachable primer to support classroom study.