國立高雄大學圖資館 |

Language: English

Back

Guide to discrete mathematicsan acce...

O'Regan, Gerard

Guide to discrete mathematicsan accessible introduction to the history, theory, logic and applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Guide to discrete mathematicsby Gerard O'Regan.
Reminder of title:	an accessible introduction to the history, theory, logic and applications /
Author:	O'Regan, Gerard
Published:	Cham :Springer International Publishing :2021.
Description:	xxi, 452 p. :ill. (chiefly col.), digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Computer scienceMathematics.
Online resource:	https://doi.org/10.1007/978-3-030-81588-2
ISBN:	9783030815882$q(electronic bk.)

Guide to discrete mathematicsan accessible introduction to the history, theory, logic and applications /
O'Regan, Gerard

Guide to discrete mathematicsan accessible introduction to the history, theory, logic and applications /[electronic resource] :by Gerard O'Regan. - Second edition. - Cham :Springer International Publishing :2021. - xxi, 452 p. :ill. (chiefly col.), digital ;24 cm. - Texts in computer science,1868-095X. - Texts in computer science..

1. 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.

This 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.

ISBN: 9783030815882$q(electronic bk.)

Standard No.: 10.1007/978-3-030-81588-2doiSubjects--Topical Terms:

181991
Computer science
--Mathematics.

LC Class. No.: QA76.9.M35 / O74 2021

Dewey Class. No.: 004.0151

Guide to discrete mathematicsan accessible introduction to the history, theory, logic and applications /
LDR:03963nmm a2200361 a 4500 001 610470
003 DE-He213
005 20211028141741.0
006 m d
007 cr nn 008maaau
008 220330s2021 sz s 0 eng d
020 $a 9783030815882$q(electronic bk.)
020 $a 9783030815875$q(paper)
024 7 $a 10.1007/978-3-030-81588-2 $2 doi
035 $a 978-3-030-81588-2
040 $a GP $c GP
041 0 $a eng
050 4 $a QA76.9.M35 $b O74 2021
072 7 $a PBD $2 bicssc
072 7 $a COM018000 $2 bisacsh
072 7 $a PBD $2 thema
072 7 $a UYAM $2 thema
082 0 4 $a 004.0151 $2 23
090 $a QA76.9.M35 $b O66 2021
100 1 $a O'Regan, Gerard $q (Cornelius Gerard) $3 442472
245 1 0 $a Guide to discrete mathematics $h [electronic resource] : $b an accessible introduction to the history, theory, logic and applications / $c by Gerard O'Regan.
250 $a Second edition.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2021.
300 $a xxi, 452 p. : $b ill. (chiefly col.), digital ; $c 24 cm.
490 1 $a Texts in computer science, $x 1868-095X
505 0 $a 1. 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 $a This 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 $a Computer science $x Mathematics. $3 181991
650 0 $a Discrete mathematics. $3 853871
650 1 4 $a Discrete Mathematics in Computer Science. $3 274791
650 2 4 $a Arithmetic and Logic Structures. $3 276274
650 2 4 $a Discrete Mathematics. $3 524738
650 2 4 $a Theory of Computation. $3 274475
650 2 4 $a Mathematical Applications in Computer Science. $3 530811
650 2 4 $a History of Computing. $3 276407
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer Nature eBook
830 0 $a Texts in computer science. $3 559643
856 4 0 $u https://doi.org/10.1007/978-3-030-81588-2
950 $a Computer Science (SpringerNature-11645)