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020 _a9783030815882
_9978-3-030-81588-2
024 7 _a10.1007/978-3-030-81588-2
_2doi
050 4 _aQA76.9.M35
050 4 _aQA297.4
072 7 _aUYAM
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072 7 _aPBD
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072 7 _aCOM014000
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072 7 _aUYAM
_2thema
072 7 _aPBD
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082 0 4 _a004.0151
_223
100 1 _aO'Regan, Gerard.
_eauthor.
_4aut
_4http://id.loc.gov/vocabulary/relators/aut
245 1 0 _aGuide to Discrete Mathematics
_h[electronic resource] :
_bAn Accessible Introduction to the History, Theory, Logic and Applications /
_cby Gerard O'Regan.
250 _a2nd ed. 2021.
264 1 _aCham :
_bSpringer International Publishing :
_bImprint: Springer,
_c2021.
300 _aXXI, 452 p. 178 illus., 64 illus. in color.
_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,
_x1868-095X
505 0 _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.
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.
650 0 _aComputer science
_xMathematics.
650 0 _aDiscrete mathematics.
650 0 _aComputer arithmetic and logic units.
650 0 _aComputer science.
650 0 _aComputers
_xHistory.
650 1 4 _aDiscrete Mathematics in Computer Science.
650 2 4 _aArithmetic and Logic Structures.
650 2 4 _aDiscrete Mathematics.
650 2 4 _aTheory of Computation.
650 2 4 _aMathematical Applications in Computer Science.
650 2 4 _aHistory of Computing.
710 2 _aSpringerLink (Online service)
773 0 _tSpringer Nature eBook
776 0 8 _iPrinted edition:
_z9783030815875
776 0 8 _iPrinted edition:
_z9783030815899
776 0 8 _iPrinted edition:
_z9783030815905
830 0 _aTexts in Computer Science,
_x1868-095X
856 4 0 _uhttps://doi.org/10.1007/978-3-030-81588-2
912 _aZDB-2-SCS
912 _aZDB-2-SXCS
942 _cSPRINGER
999 _c178364
_d178364