The textbook is structured to emphasize the interconnectedness of mathematical logic and its practical applications. Unlike continuous mathematics (which deals with real numbers and calculus), Nicodemi focuses on finite or countable sets, providing the theoretical underpinnings necessary for modern technology. The primary topics covered include: Logic and Proofs : Fundamental reasoning, premises, and conclusions. Set Theory and Relations
The book starts at the very beginning: logic. It covers truth tables, logical equivalences, and the rules of inference. Crucially, it introduces various proof techniques (direct, contrapositive, contradiction, and induction) in a way that feels like a natural progression rather than a sudden jump. Discrete Mathematics by Olympia Nicodemi
The textbook is structured to emphasize the interconnectedness of mathematical logic and its practical applications. Unlike continuous mathematics (which deals with real numbers and calculus), Nicodemi focuses on finite or countable sets, providing the theoretical underpinnings necessary for modern technology. The primary topics covered include: Logic and Proofs : Fundamental reasoning, premises, and conclusions. Set Theory and Relations
The book starts at the very beginning: logic. It covers truth tables, logical equivalences, and the rules of inference. Crucially, it introduces various proof techniques (direct, contrapositive, contradiction, and induction) in a way that feels like a natural progression rather than a sudden jump.