Overview
- Presents a broad and accessible introduction to discrete mathematics
- Provides an introduction to logic, covering historical developments
- Presents a strong focus on applications to cryptography, coding and graph theory, formal methods
Part of the book series: Texts in Computer Science (TCS)
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Table of contents (25 chapters)
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Front Matter
Keywords
About this book
This stimulating textbook 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.
Features: This book 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; 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 advanced topics such as the nature of theorem proving; 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.
Authors and Affiliations
About the author
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.
Bibliographic Information
Book Title: Guide to Discrete Mathematics
Book Subtitle: An Accessible Introduction to the History, Theory, Logic and Applications
Authors: Gerard O'Regan
Series Title: Texts in Computer Science
DOI: https://doi.org/10.1007/978-3-030-81588-2
Publisher: Springer Cham
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerland AG 2021
Hardcover ISBN: 978-3-030-81587-5Published: 29 October 2021
Softcover ISBN: 978-3-030-81590-5Published: 29 October 2022
eBook ISBN: 978-3-030-81588-2Published: 28 October 2021
Series ISSN: 1868-0941
Series E-ISSN: 1868-095X
Edition Number: 2
Number of Pages: XXI, 452
Number of Illustrations: 114 b/w illustrations, 64 illustrations in colour
Topics: Discrete Mathematics in Computer Science, Arithmetic and Logic Structures, Discrete Mathematics, Theory of Computation, Mathematical Applications in Computer Science, History of Computing