Mathematics in Computing: An Accessible Guide to Historical, Foundational and Application Contexts
- 5h 21m
- Gerard O'Regan
- Springer
- 2013
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.
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.
In this Book
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Mathematics in Civilization
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Sets, Relations and Functions
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Logic
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Software Engineering
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Formal Methods
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Z Formal Specification Language
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Number Theory
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Cryptography
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Coding Theory
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Language Theory and Semantics
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Computability and Decidability
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Probability, Statistics and Software Reliability
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Matrix Theory
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Complex Numbers and Quaternions
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Calculus
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Graph Theory
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References
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Glossary
