Overview
- Provides a broad review of the applications of mathematics to computing, including software engineering, coding theory, cryptography and software reliability
- Emphasizes the application of mathematics to computing, rather than mathematics for its own sake, covering both discrete and continuous mathematics
- Discusses the application of mathematical techniques to increase confidence in program correctness
- Includes supplementary material: sn.pub/extras
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Table of contents (16 chapters)
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Front Matter
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Back Matter
Keywords
About this book
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.
Reviews
From the reviews:
“This book provides a mathematical context for computing. … Each chapter concludes with a summary and a series of review questions that reinforce the concepts presented. This is all very readable and self-contained, making the book an excellent resource for most academic libraries. Summing Up: Highly recommended. All undergraduate students and informed general audiences.” (D. Z. Spicer, Choice, Vol. 50 (11), July, 2013)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 the Springer titles "A Brief History of Computing", "Introduction to Software Process Improvement", "Mathematical Approaches to Software Quality" and "A Practical Approach to Software Quality".
Bibliographic Information
Book Title: Mathematics in Computing
Book Subtitle: An Accessible Guide to Historical, Foundational and Application Contexts
Authors: Gerard O’Regan
DOI: https://doi.org/10.1007/978-1-4471-4534-9
Publisher: Springer London
eBook Packages: Computer Science, Computer Science (R0)
Copyright Information: Springer-Verlag London 2013
Hardcover ISBN: 978-1-4471-4533-2Published: 16 November 2012
eBook ISBN: 978-1-4471-4534-9Published: 15 November 2012
Edition Number: 1
Number of Pages: XX, 288
Topics: Math Applications in Computer Science, Mathematical Applications in Computer Science, Mathematical Logic and Formal Languages, Coding and Information Theory, Logics and Meanings of Programs, History of Mathematical Sciences