A Logical Approach to Discrete Math

A Logical Approach to Discrete Math presents fundamental concepts of mathematics and computing through formal logic and calculational methods. The text builds from basic Boolean algebra and predicate calculus to more complex topics in discrete mathematics. The book introduces a systematic framework for mathematical reasoning and proof techniques, with an emphasis on precision and rigor. Each chapter contains exercises that progress from straightforward applications to challenging problems requiring creative solutions. The material covers key areas including set theory, number theory, recursive definitions, and program derivation, all unified through logical notation and proof methods. Mathematical concepts are linked directly to computer science applications and programming. This text represents a departure from traditional discrete mathematics pedagogy by prioritizing formal logic as the foundation for mathematical thinking. The approach aims to develop both mathematical maturity and practical problem-solving capabilities in students of computer science and related fields.

Readers describe this as a rigorous mathematical text that teaches logical reasoning and proof techniques. Students report it requires focused study and multiple readings to grasp the concepts. Likes: - Clear progression from basic to advanced topics - Thorough coverage of mathematical logic fundamentals - Emphasis on precise language and notation - Many practice exercises with solutions Dislikes: - Dense writing style challenges some readers - Requires significant time investment - Not ideal for self-study without instructor guidance - Some find the notation overly complex "It forces you to think carefully about every statement" notes one Amazon reviewer. Another mentions "The exercises really cement understanding but require persistence." Ratings: Goodreads: 4.0/5 (21 ratings) Amazon: 4.3/5 (12 ratings) The book has limited reviews online, with most coming from computer science and mathematics students who used it in formal courses.

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🔷 David Gries won the prestigious ACM SIGCSE Award for Outstanding Contributions to Computer Science Education in 1991, recognizing his innovative approach to teaching logic and discrete mathematics. 🔷 The book introduces a unique notation system called "Gries-Schneider notation" that helps students transition smoothly from informal mathematical reasoning to formal logical proofs. 🔷 Co-author Fred B. Schneider is known for his pioneering work in cybersecurity and distributed systems, and he later became the Samuel B. Eckert Professor of Computer Science at Cornell University. 🔷 The textbook evolved from course notes developed at Cornell University where both authors taught, and it specifically addresses the gap between traditional mathematical education and computer science requirements. 🔷 The book's approach to teaching discrete mathematics influenced several other computer science curricula worldwide and helped establish a new standard for integrating formal logic into computer science education.