000 02459nam a22002537a 4500
003 NULRC
005 20250213161208.0
008 250213b ph ||||| |||| 00| 0 eng d
020 _a9783030815875
040 _cNULRC
050 _aQA 76.9.M35 .O74 2021
100 _aO'Regan, Gerard
_eauthor
245 _aGuide to discrete mathematics :
_ban accessible introduction to the history, theory, logic and applications /
_cGerard O'Regan
250 _a2nd Edition.
260 _aSwitzerland :
_bSpringer,
_cc2021.
300 _axxi, 452 pages :
_bcolor illustrations ;
_c24 cm.
365 _bUSD33.00
504 _aIncludes index
505 _a1. Mathematics in Civilization -- 2. Sets, Relations and Functions -- 3. Number Theory -- 4. Mathematical Induction and Recursion -- 5. Sequences, Series and Permutations and Combinations -- 6. Algebra -- 7. Automata Theory -- 8. Matrix Theory -- 9. Graph Theory -- 10. Cryptography -- 11. Coding Theory -- 12. Language Theory and Semantics -- 13. Computability and Decidability -- 14. A Short History of Logic -- 15. Propositional and Predicate Logic -- 16. Advanced Topics in Logic -- 17. The Nature of Theorem Proving -- 18. Software Engineering Mathematics -- 19. Software Reliability and dependability -- 20. Formal Methods -- 21. Z Formal Specification Language -- 22. Statistics -- 23. Probability Theory -- 24. Operations Research -- 25. Basic Financial Mathematics.
520 _aThis book provides an introduction to the building blocks of discrete mathematics, including sets, relations and functions; describes the basics of number theory, the techniques of induction and recursion, and the applications of mathematical sequences, series, permutations, and combinations; presents the essentials of algebra; explains the fundamentals of automata theory, matrices, graph theory, cryptography, coding theory, language theory, and the concepts of computability and decidability; reviews the history of logic, discussing propositional and predicate logic, as well as advanced topics such as the nature of theorem proving; examines the field of software engineering, including software reliability and dependability and describes formal methods; investigates probability and statistics and presents an overview of operations research and financial mathematics.
650 _aDISCRETE MATHEMATICS
650 _aCOMPUTER SCIENCE
942 _2lcc
_cBK
_n0
999 _c1895
_d1895