Theory of Cybersecurity

This book presents the models, principles, and mathematical foundations underlying secure information systems. Rather than treating cybersecurity as a collection of individual technologies, it develops security as a systematic discipline from the perspectives of adversarial systems, game theory, information theory, and cryptography.

Starting from fundamental security models, the book examines how threats can be analyzed, risks assessed, and security mechanisms designed. It covers central concepts of modern information security as well as the mathematical foundations of cryptographic methods and the security assumptions on which they rely. Future challenges such as AI security are also examined from the perspectives of control, verification, and constraints on intelligent systems.

By combining theoretical computer science, mathematics, and practical security analysis, the book develops a comprehensive understanding of how secure systems can be designed, evaluated, and continuously improved. Numerous examples, mathematical derivations, case studies, and exercises with detailed solutions support an active and thorough engagement with the concepts presented.

The book is intended for students of computer science, cybersecurity, and mathematics, as well as IT professionals, security practitioners, and readers who want to understand not only how cybersecurity is applied, but also the scientific foundations on which it rests. It is suitable both as a university textbook and as a rigorous supplementary resource for professional practice.