Vector Analysis and Quaternions (Classic Reprint) - Hardcover

Alexander Macfarlane

 
9780484707176: Vector Analysis and Quaternions (Classic Reprint)

Synopsis

Vector Analysis and Quaternions offers a clear, foundational look at space analysis and quaternion algebra.

This edition surveys how vectors and quaternions form a unified approach to quantities in space, with accessible explanations that connect theory to physical ideas.

This book highlights the core concepts, from adding coplanar vectors to the composition of rotations, and shows how space-analysis can be expressed without relying on a single coordinate system. It situates vector analysis alongside quaternion methods to build a coherent framework for physics and engineering applications.
  • Introduction to space quantities and how direction and magnitude work together
  • Rules for adding vectors in the plane and extending to space, including rotations
  • Foundations of spherical trigonometry and the interplay between vectors and quaternions
  • Worked examples and problems that illustrate practical use in physics and engineering
Ideal for readers of physics, engineering, and mathematical texts who want a rigorous, blend of vector and quaternion perspectives.

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