# Mathematics in Computing

## Book Description

Mathematics in Computing: An Accessible Guide to Historical, Foundational and Application Contexts

This clearly written and enlightening textbook provides a concise, introductory guide to the key mathematical concepts and techniques used by computer scientists. Topics and features: ideal for self-study, offering many pedagogical features such as chapter-opening key topics, chapter introductions and summaries, review questions, and a glossary; places our current state of knowledge within the context of the contributions made by early civilizations, such as the ancient Babylonians, Egyptians and Greeks; examines the building blocks of mathematics, including sets, relations and functions; presents an introduction to logic, formal methods and software engineering; explains the fundamentals of number theory, and its application in cryptography; describes the basics of coding theory, language theory, and graph theory; discusses the concept of computability and decideability; includes concise coverage of calculus, probability and statistics, matrices, complex numbers and quaternions.

### Table of Contents

Chapter 1 Mathematics in Civilization

Chapter 2 Sets, Relations and Functions

Chapter 3 Logic

Chapter 4 Software Engineering

Chapter 5 Formal Methods

Chapter 6 Z Formal Specification Language

Chapter 7 Number Theory

Chapter 8 Cryptography

Chapter 9 Coding Theory

Chapter 10 Language Theory and Semantics

Chapter 11 Computability and Decidability

Chapter 12 Probability, Statistics and Software Reliability

Chapter 13 Matrix Theory

Chapter 14 Complex Numbers and Quaternions

Chapter 15 Calculus

Chapter 16 Graph Theory

## Book Details

- Title: Mathematics in Computing
- Author: Gerard O'Regan
- Length: 304 pages
- Edition: 2013
- Language: English
- Publisher: Springer
- Publication Date: 2012-11-16
- ISBN-10: 144714533X
- ISBN-13: 9781447145332

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