The Foundations of Mathematics Applied to Computer Science

A broad and inspiring journey through the mathematical foundations that support modern computing, exploring how logic, set theory, number theory, combinatorics, graph theory, linear algebra, calculus, probability, and statistics connect to form the basis of algorithms, data structures, artificial intelligence, machine learning, cryptography, optimization, and systems analysis.

Throughout this document, we will see how abstract ideas become practical tools for solving real-world problems, modeling complex phenomena, and driving technological innovation across all areas of computer science.