Guide to discrete mathematics : an accessible introduction to the history, theory, logic and applications / Gerard O'Regan.
O'Regan, Gerard (Cornelius Gerard), author.
2016
QA76.9.M35
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.
ISBN 9783319445618 (electronic book)
3319445618 (electronic book)
9783319445601
331944560X
DOI https://doi.org/10.1007/978-3-319-44561-8
Published Cham, Switzerland : Springer, 2016.
Language English
Description 1 online resource (xxi, 368 pages) : illustrations.
Item Number 10.1007/978-3-319-44561-8 doi
Call Number QA76.9.M35
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 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.
Bibliography, etc. Note Includes bibliographical references and index.
Access Note Access limited to authorized users.
Source of Description Online resource; title from PDF title page (SpringerLink, viewed September 23, 2016).
Series Texts in computer science.
Available in Other Form Guide to discrete mathematics.
Linked Resources Online Access
Record Appears in Online Resources > Ebooks
All Resources
Mathematics 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.

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