Foundation Mathematics for Computer Science

A Visual Approach

  • John Vince

Table of contents

  1. Front Matter
    Pages i-xvii
  2. John Vince
    Pages 1-4
  3. John Vince
    Pages 5-36
  4. John Vince
    Pages 37-55
  5. John Vince
    Pages 57-79
  6. John Vince
    Pages 81-93
  7. John Vince
    Pages 95-107
  8. John Vince
    Pages 109-125
  9. John Vince
    Pages 127-147
  10. John Vince
    Pages 149-184
  11. John Vince
    Pages 185-214
  12. John Vince
    Pages 215-276
  13. John Vince
    Pages 277-321
  14. Back Matter
    Pages 323-334

About this book

Introduction

John Vince describes a range of mathematical topics to provide a foundation for an undergraduate course in computer science, starting with a review of number systems and their relevance to digital computers, and finishing with differential and integral calculus. Readers will find that the author's visual approach will greatly improve their understanding as to why certain mathematical structures exist, together with how they are used in real-world applications.

Each chapter includes full-colour illustrations to clarify the mathematical descriptions, and in some cases, equations are also coloured to reveal vital algebraic patterns. The numerous worked examples will consolidate comprehension of abstract mathematical concepts.

Foundation Mathematics for Computer Science covers number systems, algebra, logic, trigonometry, coordinate systems, determinants, vectors, matrices, geometric matrix transforms, differential and integral calculus, and reveals the names of the mathematicians behind such inventions. During this journey, John Vince touches upon more esoteric topics such as quaternions, octonions, Grassmann algebra, Barycentric coordinates, transfinite sets and prime numbers. Whether you intend to pursue a career in programming, scientific visualisation, systems design, or real-time computing, you should find the author’s literary style refreshingly lucid and engaging, and prepare you for more advanced texts.

 

 

Keywords

Computer Games Computer Graphics Computer Science Foundation Mathematics Function Graphs

Authors and affiliations

  • John Vince
    • 1
  1. 1.Bournemouth UniversityBournemouthUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-21437-5
  • Copyright Information Springer International Publishing Switzerland 2015
  • Publisher Name Springer, Cham
  • eBook Packages Computer Science
  • Print ISBN 978-3-319-21436-8
  • Online ISBN 978-3-319-21437-5
  • About this book
Industry Sectors
Electronics