An introduction to mathematical cryptography

About “An introduction to mathematical cryptography”

This book provides an introduction to modern cryptography with a focus on the mathematical principles behind public key cryptosystems and digital signatures. It develops the necessary mathematical tools, including algebra, number theory, and probability, while requiring only basic linear algebra. The text covers classical cryptographic methods such as the Diffie-Hellman key exchange, RSA, and digital signatures, as well as fundamental techniques like primality testing and factorization. It also explores recent innovations, including elliptic curve cryptography, lattice-based cryptography, and the NTRU system. Designed for mathematics and computer science students, the book includes a bibliography, index, and online supplementary materials.