000761370 000__ 04313cam\a2200469Ii\4500 000761370 001__ 761370 000761370 005__ 20230306142152.0 000761370 006__ m\\\\\o\\d\\\\\\\\ 000761370 007__ cr\cn\nnnunnun 000761370 008__ 160923s2016\\\\sz\a\\\\ob\\\\001\0\eng\d 000761370 019__ $$a959952699$$a960088008$$a961007188 000761370 020__ $$a9783319445618$$q(electronic book) 000761370 020__ $$a3319445618$$q(electronic book) 000761370 020__ $$z9783319445601 000761370 020__ $$z331944560X 000761370 0247_ $$a10.1007/978-3-319-44561-8$$2doi 000761370 035__ $$aSP(OCoLC)ocn958948806 000761370 035__ $$aSP(OCoLC)958948806$$z(OCoLC)959952699$$z(OCoLC)960088008$$z(OCoLC)961007188 000761370 040__ $$aGW5XE$$beng$$erda$$epn$$cGW5XE$$dDKU$$dYDX$$dOCLCQ$$dNJR$$dOCLCF 000761370 049__ $$aISEA 000761370 050_4 $$aQA76.9.M35 000761370 08204 $$a004.01/51$$223 000761370 1001_ $$aO'Regan, Gerard$$q(Cornelius Gerard),$$eauthor. 000761370 24510 $$aGuide to discrete mathematics :$$ban accessible introduction to the history, theory, logic and applications /$$cGerard O'Regan. 000761370 264_1 $$aCham, Switzerland :$$bSpringer,$$c2016. 000761370 300__ $$a1 online resource (xxi, 368 pages) :$$billustrations. 000761370 336__ $$atext$$btxt$$2rdacontent 000761370 337__ $$acomputer$$bc$$2rdamedia 000761370 338__ $$aonline resource$$bcr$$2rdacarrier 000761370 4901_ $$aTexts in computer science,$$x1868-0941 000761370 504__ $$aIncludes bibliographical references and index. 000761370 5050_ $$aMathematics in Civilization -- Sets, Relations and Functions -- Number Theory -- Mathematical Induction and Recursion -- Sequences, Series and Permutations and Combinations -- Algebra -- Automata Theory -- Matrix Theory -- Graph Theory -- Cryptography -- Coding Theory -- Language Theory and Semantics -- Computability and Decidability -- A Short History of Logic -- Propositional and Predicate Logic -- Advanced Topics in Logic -- Software Engineering Mathematics -- Formal Methods -- Z Formal Specification Language -- Probability, Statistics and Applications. 000761370 506__ $$aAccess limited to authorized users. 000761370 520__ $$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 important field of software engineering, describing formal methods, including the Z specification language Investigates probability and statistics, covering discrete random variables, probability distributions, sample spaces, variance and standard deviation, and hypothesis testing 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. 000761370 588__ $$aOnline resource; title from PDF title page (SpringerLink, viewed September 23, 2016). 000761370 650_0 $$aComputer science$$xMathematics. 000761370 77608 $$iPrint version:$$aO'Regan, Gerard (Cornelius Gerard).$$tGuide to discrete mathematics.$$dCham, Switzerland : Springer, 2016$$z9783319445601$$z331944560X$$w(OCoLC)953709457 000761370 830_0 $$aTexts in computer science. 000761370 852__ $$bebk 000761370 85640 $$3SpringerLink$$uhttps://univsouthin.idm.oclc.org/login?url=http://link.springer.com/10.1007/978-3-319-44561-8$$zOnline Access$$91397441.1 000761370 909CO $$ooai:library.usi.edu:761370$$pGLOBAL_SET 000761370 980__ $$aEBOOK 000761370 980__ $$aBIB 000761370 982__ $$aEbook 000761370 983__ $$aOnline 000761370 994__ $$a92$$bISE