Lectures on discrete mathematics for computer science / Bakhadyr Khoussainov and Nodira Khoussainova
Material type:
TextSeries: Algebra and discrete mathematics ; v. 3Publication details: Singapore : World Scientific Pub., 2012Description: xvi, 346 p. : ill. ; 24 cmISBN: - 9789814340502
| Item type | Current library | Call number | Copy number | Status | Date due | Barcode | |
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Open Shelf
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UMPLIB PEKAN | QA76.9.M35 K46 2012 (Browse shelf(Opens below)) | 1 | Available | 0000073435 |
1. Definitions, theorems, and proofs -- 2. Proof methods -- 3. Integers and divisibility -- 4. Euclidean algorithm and congruence relations -- 5. Secret message passing -- 6. Basics of directed graphs -- 7. The path problem and undirected graphs -- 8. Circuit problems in graphs -- 9. Rooted trees -- 10. Sets and operations on sets -- 11. Relations on sets -- 12. Equivalence relations and partial orders -- 13. Databases and relational structures -- 14. Relational calculus -- 15. Program correctness through loop invariants -- 16. Induction and recursion -- 17. Spanning trees -- 18. Shortest paths in directed weighted graphs -- 19. Games played on finite graphs -- 20. Functions -- 21. Types of functions -- 22. Syntax of propositional logic -- 23. Semantics of propositional logic -- 24. Normal forms and the SAT problem -- 25. Deterministic finite automata -- 26. Designing finite automata -- 27. Nondeterministic finite automata -- 28. The subset construction -- 29. Regular expressions and finite automata -- 30. Algorithms for finite automata -- 31. Counting principles -- 32. Permutations and combinations -- 33. Basics of probability