Vector Analysis and Quaternions (Classic Reprint) - Softcover

Alexander Macfarlane

 
9781330538043: Vector Analysis and Quaternions (Classic Reprint)

Synopsis

Vector Analysis and Quaternions offers a concise, unified introduction to vectors, rotations, and space quantities for physics and engineering.

This edition presents how vector and quaternion ideas complement each other within a Cartesian framework, so you can see the full power of space analysis in a clear, practical way.

The book frames the subject around space quantities that remain true when restricted to a plane, building from plane algebra to the algebra of space. It emphasizes a direct approach to directed quantities, with notation and concepts that help you connect theory to physical ideas, from forces to rotations.
  • Learn how to add and combine vectors in coplanar and spatial settings.
  • Explore products of vectors, including scalar and vector products, with physical interpretations for fields and forces.
  • Study the composition of rotations and the relation between rotations, versions, and quaternions.
  • Delve into spherical trigonometry, rotations in space, and the foundations of space analysis as a universal approach.
Ideal for students and professionals in physics and engineering who want a solid, readable grounding in vector analysis and quaternions, with clear connections to practical problems and classical results.

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