Advertisement

Modelling Computing Systems

Mathematics for Computer Science

  • Faron Moller
  • Georg Struth

Part of the Undergraduate Topics in Computer Science book series (UTICS)

Table of contents

  1. Front Matter
    Pages I-XVI
  2. Faron Moller, Georg Struth
    Pages 1-14
  3. Mathematics for Computer Science

    1. Front Matter
      Pages 15-15
    2. Faron Moller, Georg Struth
      Pages 17-55
    3. Faron Moller, Georg Struth
      Pages 57-86
    4. Faron Moller, Georg Struth
      Pages 87-108
    5. Faron Moller, Georg Struth
      Pages 109-129
    6. Faron Moller, Georg Struth
      Pages 131-154
    7. Faron Moller, Georg Struth
      Pages 155-178
    8. Faron Moller, Georg Struth
      Pages 179-199
    9. Faron Moller, Georg Struth
      Pages 201-222
    10. Faron Moller, Georg Struth
      Pages 223-250
    11. Faron Moller, Georg Struth
      Pages 251-275
  4. Modelling Computing Systems

    1. Front Matter
      Pages 277-277
    2. Faron Moller, Georg Struth
      Pages 279-307
    3. Faron Moller, Georg Struth
      Pages 309-332
    4. Faron Moller, Georg Struth
      Pages 333-356
    5. Faron Moller, Georg Struth
      Pages 357-379
    6. Faron Moller, Georg Struth
      Pages 381-403
  5. Back Matter
    Pages 405-500

About this book

Introduction

We have all experienced delays and frustrations as a result of the notorious ‘computer glitch.’ However, the more dependent we become on computational systems in our daily lives, the more we must ensure that they are safe, reliable and user-friendly.

This engaging textbook presents the fundamental mathematics and modelling techniques for computing systems in a novel and light-hearted way, which can be easily followed by students at the very beginning of their university education. Key concepts are taught through a large collection of challenging yet fun mathematical games and logical puzzles that require no prior knowledge about computers. The text begins with intuition and examples as a basis from which precise concepts are then developed; demonstrating how, by working within the confines of a precise structured method, the occurrence of errors in the system can be drastically reduced.

Topics and features:

  • Introduces important concepts from discrete mathematics as the basis of computational thinking, presented in a stimulating and motivating style
  • Demonstrates how game theory provides a paradigm for an intuitive understanding of the nature of computation
  • Contains more than 400 exercises throughout the text, with detailed solutions to half of these presented at the end of the book, together with numerous theorems, definitions and examples
  • Describes an approach to the modelling of computing systems based on state transition systems, exploring the languages and techniques for expressing and reasoning about systems specifications and concurrent implementations

This clearly written and classroom-tested textbook/reference is essential reading for first-year undergraduate modules on discrete mathematics and systems modelling.

Keywords

Discrete mathematics in computer science Logics and meanings of programs Math applications in computer science Mathematical logic and formal languages Modelling Computing Systems

Authors and affiliations

  • Faron Moller
    • 1
  • Georg Struth
    • 2
  1. 1.Department of Computer ScienceSwansea UniversitySwanseaUnited Kingdom
  2. 2.Dept. Computer ScienceUniversity of SheffieldSheffieldUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-84800-322-4
  • Copyright Information Springer-Verlag London 2013
  • Publisher Name Springer, London
  • eBook Packages Computer Science
  • Print ISBN 978-1-84800-321-7
  • Online ISBN 978-1-84800-322-4
  • Series Print ISSN 1863-7310
  • Buy this book on publisher's site
Industry Sectors
Electronics
IT & Software
Aerospace