000 04384nam a22005775i 4500
001 978-3-319-44561-8
003 DE-He213
005 20200420221251.0
007 cr nn 008mamaa
008 160916s2016 gw | s |||| 0|eng d
020 _a9783319445618
_9978-3-319-44561-8
024 7 _a10.1007/978-3-319-44561-8
_2doi
050 4 _aQA76.9.M35
072 7 _aPBD
_2bicssc
072 7 _aUYAM
_2bicssc
072 7 _aCOM018000
_2bisacsh
072 7 _aMAT008000
_2bisacsh
082 0 4 _a004.0151
_223
100 1 _aO'Regan, Gerard.
_eauthor.
245 1 0 _aGuide to Discrete Mathematics
_h[electronic resource] :
_bAn Accessible Introduction to the History, Theory, Logic and Applications /
_cby Gerard O'Regan.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2016.
300 _aXXI, 368 p. 117 illus.
_bonline resource.
336 _atext
_btxt
_2rdacontent
337 _acomputer
_bc
_2rdamedia
338 _aonline resource
_bcr
_2rdacarrier
347 _atext file
_bPDF
_2rda
490 1 _aTexts in Computer Science,
_x1868-0941
505 0 _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.
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.
650 0 _aComputer science.
650 0 _aArithmetic and logic units, Computer.
650 0 _aComputer logic.
650 0 _aComputer science
_xMathematics.
650 0 _aComputers.
650 0 _aComputer mathematics.
650 1 4 _aComputer Science.
650 2 4 _aDiscrete Mathematics in Computer Science.
650 2 4 _aArithmetic and Logic Structures.
650 2 4 _aLogics and Meanings of Programs.
650 2 4 _aHistory of Computing.
650 2 4 _aMathematical Applications in Computer Science.
650 2 4 _aMath Applications in Computer Science.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer eBooks
776 0 8 _iPrinted edition:
_z9783319445601
830 0 _aTexts in Computer Science,
_x1868-0941
856 4 0 _uhttp://dx.doi.org/10.1007/978-3-319-44561-8
912 _aZDB-2-SCS
942 _cEBK
999 _c52583
_d52583