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A practical, modern approach to teaching logic and set theory, equipping students with the necessary mathematical understanding and skills required for the mathematical specification of software. Covers all the areas of mathematics that are considered essential to computer science including logic, set theory, modern algebra (group theory), graph theory and combinatorics while taking into account the diverse mathematical background of the students taking the course. In line with current undergraduate curricula this book uses logic extensively, together with set theory, in mathematical specification of software. Languages such as Z and VDM are used for this purpose.
Inhaltsverzeichnis
1. An Overview of Logic.
2. Proposition and Propositional.
3. Propositional Logic as a Language.
4. Transformational Proofs.
5. Deductive Proofs.
6. Predicates and Quantifiers.
7. Further Predicate Logic.
8. Interpretation of Formulae.
9. Proofs in Predicate Logic.
10. Proof by Mathematical.
11. Sets and Relations Between Sets.
12. Operations on Sets.
13. Relations: Basic Concepts.
14. Advanced Relational.
15. Binary Relations.
16. Functions and their Classifications.
17. Some Important Functions.
18. Natural Numbers, Sequences and Rings.
Zusammenfassung
A practical, modern approach to teaching logic and set theory, equipping students with the necessary mathematical understanding and skills required for the mathematical specification of software. Covers all the areas of mathematics that are considered essential to computer science including logic, set theory, modern algebra (group theory), graph theory and combinatorics while taking into account the diverse mathematical background of the students taking the course. In line with current undergraduate curricula this book uses logic extensively, together with set theory, in mathematical specification of software. Languages such as Z and VDM are used for this purpose.
