Introduction to cryptography with Maple This introduction to cryptography employs a programming oriented approach to study the most important cryptographic schemes in current use and the main cryptanalytic attacks against them. Discussion of the theoretical aspects emphasizing precise security definitions based on methodological tools such as complexity and randomness and of the mathematical aspects with emphasis on number theoretic algorithms and their applications to cryptography and cryptanalysis is integrated with the programming approach thus providing implementations of the algorithms and schemes as well as examples of realistic size.