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

Philip Kelland

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

Hardcover

ISBN 10: 0666299153 ISBN 13: 9780666299154

Publisher: Forgotten Books, 2018

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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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