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

P. Kelland

 
9780266796138: Introduction to Quaternions: With Numerous Examples (Classic Reprint)

Synopsis

Discover the elegant math of quaternions and how they unlock new ways to model space, motion, and geometry.

This approachable introduction explains the ideas behind quaternions and shows how a single method can unify many geometric and physical problems. Written for readers who want to become mathematically proficient, the book presents clear principles, historical context, and practical examples that progress from basics to more advanced topics.

This edition brings together the work of Sir William Rowan Hamilton’s quaternion idea with an explanatory approach designed for learners. It treats quaternions as a complete system for extending algebra and geometry, using a steady sequence of definitions, theorems, and worked examples. The text emphasizes understanding how quaternions relate to vectors, shapes, and motions, and it includes a broad array of applications and exercises to reinforce learning.
  • Learn the foundational definitions of vectors, scalar and vector products, and quaternion operations
  • See how multiplication, conjugation, and division generalize to three- and four-dimensional geometry
  • Explore how quaternions model lines, planes, circles, spheres, and other central shapes
  • Discover formulas and their applications in problems of motion, rotation, and deformation
  • Build skills with numerous worked examples and step-by-step explanations
Ideal for readers of classic mathematics texts who want a solid, beginner-friendly path into quaternions and their uses in geometry and physics.

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About the Author

1808-1879

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