Foundation Mathematics for Computer Science

A Visual Approach

  • John Vince

Table of contents

  1. Front Matter
    Pages i-xix
  2. John Vince
    Pages 1-4
  3. John Vince
    Pages 5-33
  4. John Vince
    Pages 35-53
  5. John Vince
    Pages 55-78
  6. John Vince
    Pages 79-88
  7. John Vince
    Pages 89-99
  8. John Vince
    Pages 101-118
  9. John Vince
    Pages 119-131
  10. John Vince
    Pages 133-145
  11. John Vince
    Pages 147-164
  12. John Vince
    Pages 165-186
  13. John Vince
    Pages 187-224
  14. John Vince
    Pages 225-258
  15. John Vince
    Pages 259-287
  16. John Vince
    Pages 289-350
  17. John Vince
    Pages 351-393
  18. Back Matter
    Pages 395-407

About this book


In this second edition of Foundation Mathematics for Computer Science, John Vince has reviewed and edited the original book and written new chapters on combinatorics, probability, modular arithmetic and complex numbers. These subjects complement the existing chapters on number systems, algebra, logic, trigonometry, coordinate systems, determinants, vectors, matrices, geometric matrix transforms, differential and integral calculus. During this journey, the author touches upon more esoteric topics such as quaternions, octonions, Grassmann algebra, Barrycentric coordinates, transfinite sets and prime numbers.

John Vince describes a range of mathematical topics to provide a solid 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.

This second edition includes new, 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 help consolidate the understanding of abstract mathematical concepts.

Whether you intend to pursue a career in programming, scientific visualisation, artificial intelligence, 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.




Foundation Mathematics Modular Arithmetic Combinatorics Computer Games Computer Graphics Function Graphs

Authors and affiliations

  • John Vince
    • 1
  1. 1.Bournemouth UniversityBreinton, HerefordUK

Bibliographic information

  • DOI
  • Copyright Information Springer Nature Switzerland AG 2020
  • Publisher Name Springer, Cham
  • eBook Packages Computer Science
  • Print ISBN 978-3-030-42077-2
  • Online ISBN 978-3-030-42078-9
  • Buy this book on publisher's site