Guide to discrete mathematics : an accessible introduction to the history, theory, logic and applications / Gerard O'Regan.
O'Regan, Gerard (Cornelius Gerard), author.
2021
QA76.9.M35 O74 2021
Available Online

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Title Guide to discrete mathematics : an accessible introduction to the history, theory, logic and applications / Gerard O'Regan.
Author O'Regan, Gerard (Cornelius Gerard), author.
Edition Second edition.
ISBN 9783030815882 (electronic bk.)
3030815889 (electronic bk.)
9783030815875
3030815870
DOI https://doi.org/10.1007/978-3-030-81588-2
Published Cham : Springer, [2021]
Copyright ©2021
Language English
Description 1 online resource : illustrations (chiefly color)
Other Standard Identifiers 10.1007/978-3-030-81588-2 doi
Call Number QA76.9.M35 O74 2021
Dewey Decimal Classification 004.01/51
Summary 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Digital File Characteristics text file
PDF
Source of Description Online resource; title from PDF title page (SpringerLink, viewed November 5, 2021).
Series Texts in computer science, 1868-095X
Available in Other Form Guide to discrete mathematics.
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
All Resources
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.

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