Guide to Discrete Mathematics

An Accessible Introduction to the History, Theory, Logic and Applications
Softcover Nachdruck of the original 1. Auflage 2016
ISBN: 978-3-319-83080-3
Verlag: Springer International Publishing

Buch, Englisch, 368 Seiten, Previously published in hardcover, Format (B × H): 155 mm x 235 mm, Gewicht: 5913 g

Reihe: Texts in Computer Science

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.

Zielgruppe

Lower undergraduate

Autoren/Hrsg.

O'Regan, Gerard

Fachgebiete

• Mathematik | Informatik Mathematik Mathematik Allgemein Geschichte der Mathematik
• Mathematik | Informatik EDV | Informatik EDV & Informatik Allgemein EDV & Informatik: Geschichte
• Mathematik | Informatik EDV | Informatik Informatik Mathematik für Informatiker
• Mathematik | Informatik Mathematik Mathematik Allgemein Diskrete Mathematik, Kombinatorik

Inhaltsverzeichnis

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.

Über Autor(innen)

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.