Mathematics for Computer Scientists

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This textbook provides the essential mathematics for application-oriented computer science courses, drawing on the author's extensive teaching experience. The translation of the original German 7th edition was enhanced with artificial intelligence and subsequently revised for content accuracy. The book consistently connects mathematical concepts to computer science, enabling students to not only learn mathematical methods but also to develop a mathematical mindset crucial for understanding the field. Proofs are included when they facilitate learning, rather than for their own sake. Recognizing that many students initially view mathematics as a necessary burden, the author illustrates practical applications through real-world examples and continuous cross-referencing between math and computer science. This approach reveals the usefulness and potential enjoyment of mathematics. The content covers a wide range of topics, including sets, logic, number theory, algebraic structures, cryptography, vector spaces, matrices, linear equations, eigenvalues, graph theory, sequences, series, continuous functions, calculus, differential equations, numerics, probability theory, and statistics. The textbook is designed for students in computer science-related programs and independent learners seeking to enhance their mathematical knowledge.