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Macmillan Higher Education Palgrave Higher Education

Guide to Discrete Mathematics

An Accessible Introduction to the History, Theory, Logic and Applications

ISBN 9783319445601
Publication Date September 2016
Formats Hardcover Ebook 
Publisher Springer

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: 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; examines the field of software engineering, describing formal methods; investigates probability and statistics.

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.

Mathematics in Civilization
Sets, Relations and Functions
Number Theory
Mathematical Induction and Recursion
Sequences, Series and Permutations and Combinations
Automata Theory
Matrix Theory
Graph Theory
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.


“This book is … an encyclopedic overview of topics of and related to discrete mathematics in the broad sense, including many topics from computer science and software engineering. … Each chapter has a summary and a list of review question which help the reader to recapitulate the contents … . for each topic the reader is able to grasp the specific flavor and can move forward to more specific and advanced literature.” (Dieter Riebesehl, zbMATH 1358.68004, 2017)
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