Introduction to Quaternions: With Numerous Examples (Classic Reprint) - Hardcover

Philip Kelland

 
9780666299154: Introduction to Quaternions: With Numerous Examples (Classic Reprint)

Synopsis

Unlock the power of quaternions to see how geometry and algebra merge into one elegant tool.

This edition introduces the subject as a complete system, guiding you from basic ideas to its broad range of applications in geometry and beyond.

Quaternions are presented as a extension of ordinary arithmetic, designed to handle rotations and spatial relations with a single, uniform framework. The book pairs clear explanations with numerous examples, showing how the algebraic rules translate into practical techniques for solving problems in straight lines, planes, circles, and higher-order surfaces. It is written for those who want to move beyond elementary geometry and build a solid, working understanding of the subject.
What you will experience
  • Step-by-step development of quaternion concepts, from vectors to multiplications and inverses.
  • Concrete problems and worked examples that connect theory to geometry.
  • Guidance on applying quaternions to topics like lines, planes, circles, ellipses, and hyperbolas.
  • Insights into how this system extends familiar arithmetic without abandoning it.
Ideal for readers who want a rigorous yet accessible path into quaternions, including students of mathematics, physics, and engineering, as well as self-learners seeking a solid foundation in this influential tool. The book emphasizes practical understanding and the beauty of a mathematics that links ideas across disciplines.

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