001440637 000__ 05042cam\a2200589\i\4500 001440637 001__ 1440637 001440637 003__ OCoLC 001440637 005__ 20230309004653.0 001440637 006__ m\\\\\o\\d\\\\\\\\ 001440637 007__ cr\un\nnnunnun 001440637 008__ 211031s2021\\\\sz\a\\\\ob\\\\001\0\eng\d 001440637 019__ $$a1281651506$$a1287765877$$a1290683612$$a1292518397 001440637 020__ $$a9783030815882$$q(electronic bk.) 001440637 020__ $$a3030815889$$q(electronic bk.) 001440637 020__ $$z9783030815875 001440637 020__ $$z3030815870 001440637 0247_ $$a10.1007/978-3-030-81588-2$$2doi 001440637 035__ $$aSP(OCoLC)1281582980 001440637 040__ $$aYDX$$beng$$erda$$epn$$cYDX$$dGW5XE$$dEBLCP$$dDCT$$dOCLCF$$dOCLCO$$dN$T$$dDKU$$dOCLCQ$$dOCLCO$$dUKAHL$$dOCLCQ 001440637 049__ $$aISEA 001440637 050_4 $$aQA76.9.M35$$bO74 2021 001440637 08204 $$a004.01/51$$223 001440637 1001_ $$aO'Regan, Gerard$$q(Cornelius Gerard),$$eauthor. 001440637 24510 $$aGuide to discrete mathematics :$$ban accessible introduction to the history, theory, logic and applications /$$cGerard O'Regan. 001440637 250__ $$aSecond edition. 001440637 264_1 $$aCham :$$bSpringer,$$c[2021] 001440637 264_4 $$c©2021 001440637 300__ $$a1 online resource :$$billustrations (chiefly color) 001440637 336__ $$atext$$btxt$$2rdacontent 001440637 337__ $$acomputer$$bc$$2rdamedia 001440637 338__ $$aonline resource$$bcr$$2rdacarrier 001440637 347__ $$atext file 001440637 347__ $$bPDF 001440637 4901_ $$aTexts in computer science,$$x1868-095X 001440637 504__ $$aIncludes bibliographical references and index. 001440637 5050_ $$a1. Mathematics in Civilization -- 2. Sets, Relations and Functions -- 3. Number Theory -- 4. Mathematical Induction and Recursion -- 5. Sequences, Series and Permutations and Combinations -- Algebra -- 6. Automata Theory -- 7. Matrix Theory -- 8. Graph Theory -- 9. Cryptography -- 10. Coding Theory -- 11. Language Theory and Semantics -- 12. Computability and Decidability -- 13. A Short History of Logic -- 14. Propositional and Predicate Logic -- 15. Advanced Topics in Logic -- 16. Software Engineering Mathematics -- 17. Formal Methods -- 18. Z Formal Specification Language -- 19. Probability, Statistics and Applications. 001440637 506__ $$aAccess limited to authorized users. 001440637 520__ $$aThis stimulating textbook/reference presents a broad and accessible guide to the fundamentals of discrete mathematics, highlighting how the techniques may be applied to various exciting areas in computing. The text is designed to motivate and inspire the reader, encouraging further study in this important skill. Topics and features: 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, covering simultaneous and quadratic equations, and the laws of logarithms and indices, in addition to such structures in abstract algebra as monoids, groups, rings, integral domains, fields, and vector spaces 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 such advanced topics as fuzzy logic, temporal logic, intuitionistic logic, undefined values, theorem provers, and the applications of logic to AI 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 This engaging and clearly written work offers an invaluable overview of discrete mathematics for undergraduate computer science students, and to students of mathematics interested in the rich applications of discrete mathematics to the field of computing. Dr. Gerard O'Regan is a CMMI software process improvement consultant with research interests including software quality and software process improvement, mathematical approaches to software quality, and the history of computing. He is the author of such Springer titles as Introduction to the History of Computing, Pillars of Computing, Introduction to Software Quality, Giants of Computing, and Mathematics in Computing. 001440637 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed November 5, 2021). 001440637 650_0 $$aComputer science$$xMathematics. 001440637 650_0 $$aDiscrete mathematics. 001440637 650_6 $$aInformatique$$xMathématiques. 001440637 650_6 $$aMathématiques discrètes. 001440637 655_0 $$aElectronic books. 001440637 77608 $$iPrint version:$$aO'Regan, Gerard (Cornelius Gerard).$$tGuide to discrete mathematics.$$bSecond edition.$$dCham : Springer, [2021]$$z3030815870$$z9783030815875 001440637 830_0 $$aTexts in computer science,$$x1868-095X 001440637 852__ $$bebk 001440637 85640 $$3Springer Nature$$uhttps://univsouthin.idm.oclc.org/login?url=https://link.springer.com/10.1007/978-3-030-81588-2$$zOnline Access$$91397441.1 001440637 909CO $$ooai:library.usi.edu:1440637$$pGLOBAL_SET 001440637 980__ $$aBIB 001440637 980__ $$aEBOOK 001440637 982__ $$aEbook 001440637 983__ $$aOnline 001440637 994__ $$a92$$bISE