Special Topics in Mathematics for Computer Scientists

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The textbook provides a comprehensive exploration of set theory, category theory, topology, and measure theory, crucial for advanced theoretical computer science. It introduces key concepts like the Axiom of Choice, Banach-Mazur games, and the interplay between coalgebras and Kripke models. Emphasizing the integration of (co-)algebraic and measure-theoretic structures, it includes topics such as Gödel's Completeness Theorem and Borel measures. Exercises and case studies enhance understanding, while bibliographic notes guide further research into foundational mathematical literature.