Mathematics in computing : an accessible guide to historical, foundational and application contexts

書誌事項

Mathematics in computing : an accessible guide to historical, foundational and application contexts

Gerard O'Regan

Springer, c2013

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注記

Includes bibliographical references (p. 277-279) and index

内容説明・目次

内容説明

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.

目次

Mathematics in Civilization Sets, Relations and Functions Logic Software Engineering Formal Methods Z Formal Specification Language Number Theory Cryptography Coding Theory Language Theory and Semantics Computability and Decidability Probability, Statistics and Software Reliability Matrix Theory Complex Numbers and Quaternions Calculus Graph Theory

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