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Quaternions for Computer Graphics

  • John┬áVince

Table of contents

  1. Front Matter
    Pages I-XIV
  2. John Vince
    Pages 1-2
  3. John Vince
    Pages 3-12
  4. John Vince
    Pages 13-31
  5. John Vince
    Pages 33-45
  6. John Vince
    Pages 47-71
  7. John Vince
    Pages 73-88
  8. John Vince
    Pages 89-129
  9. John Vince
    Pages 131-131
  10. Back Matter
    Pages 133-140

About this book

Introduction

Sir William Rowan Hamilton was a genius, and will be remembered for his significant contributions to physics and mathematics. The Hamiltonian, which is used in quantum physics to describe the total energy of a system, would have been a major achievement for anyone, but Hamilton also invented quaternions, which paved the way for modern vector analysis.

Quaternions are one of the most documented inventions in the history of mathematics, and this book is about their invention, and how they are used to rotate vectors about an arbitrary axis. Apart from introducing the reader to the features of quaternions and their associated algebra, the book provides valuable historical facts that bring the subject alive.

Quaternions for Computer Graphics introduces the reader to quaternion algebra by describing concepts of sets, groups, fields and rings. It also includes chapters on imaginary quantities, complex numbers and the complex plane, which are essential to understanding quaternions. The book contains many illustrations and worked examples, which make it essential reading for students, academics, researchers and professional practitioners.

Authors and affiliations

  • John┬áVince
    • 1
  1. 1.25 Windmill LaneRingwoodUnited Kingdom

Bibliographic information

  • DOI https://doi.org/10.1007/978-0-85729-760-0
  • Copyright Information Springer-Verlag London Limited 2011
  • Publisher Name Springer, London
  • eBook Packages Computer Science
  • Print ISBN 978-0-85729-759-4
  • Online ISBN 978-0-85729-760-0
  • Buy this book on publisher's site