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Mathematics in Computing

An Accessible Guide to Historical, Foundational and Application Contexts

By Gerard O’Regan

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This review of the mathematics uses in computing takes in a host of topics including software engineering and reliability, coding theory, and cryptography, and is an enlightening introductory guide to the calculations which have built our technological world.

Full Description

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  • ISBN13: 978-1-4471-4533-2
  • 308 Pages
  • User Level: Students
  • Publication Date: November 15, 2012
  • Available eBook Formats: PDF
Full Description
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

Table of Contents

  1. Mathematics in Civilization.
  2. Sets, Relations and Functions.
  3. Logic.
  4. Software Engineering.
  5. Formal Methods.
  6. Z Formal Specification Language.
  7. Number Theory.
  8. Cryptography.
  9. Coding Theory.
  10. Language Theory and Semantics.
  11. Computability and Decidability.
  12. Probability, Statistics and Software Reliability.
  13. Matrix Theory.
  14. Complex Numbers and Quaternions.
  15. Calculus.
  16. Graph Theory.

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