This textbook covers the integers and provides a clear introduction to number theory. It is aimed at students and interested readers with a mathematical background. The material includes a standard introduction to elementary number theory and pays special attention to recent developments such as the latest Fermat theorem, cryptography, factorization of large numbers, and the abc conjecture.
Particular attention is given to unresolved problems, which underscores the current relevance of number theory. The book emphasizes clear reasoning and proofs. In addition, there is an extensive collection of exercises with solutions available, which helps make the theory and applications easier to understand.