Introduction to Quaternions (Classic Reprint) - Softcover

Inhaltsangabe

Explore how quaternions connect vectors, versors, and dynamics in one cohesive framework.

This unified introduction shows how a single method can illuminate geometry, algebra, and physical applications.

The book presents quaternions as a powerful tool for both theory and application. It emphasizes a clear, step-by-step approach to the vector laws, the associative rules in products, and the calculus needed to use quaternions in dynamics and geometry. Readers will find discussions that bridge pure mathematics with practical ideas in physics and geometry, including topics like tangent planes, conic sections, and projective geometry.

• See how vector addition and quaternion multiplication relate across different quantities and settings.
• Learn how conic sections emerge from quaternion-based descriptions of surfaces and curves.
• Explore tangent planes, linear vector functions, and self-conjugate operations in a geometric context.
• Gain insight into the dynamic interpretation of quaternions and their place in broader mathematical structures.

Ideal for readers seeking a solid, accessible path to quaternions and their geometric and physical applications.

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