A Geometrical Vector Algebra (Classic Reprint) - Softcover

Inhaltsangabe

Dive into a geometric vector algebra that unites analysis, rotation, and spatial reasoning. From 3D space to higher dimensions, it links theory with practical calculation.

In this foundational text, the author develops analytic geometry for three-fold space and shows how the ideas adapt to two- and four-fold spaces. It spans vector notation, addition and subtraction, coplanar and collinear vectors, multiplication by vectors, and the geometry behind these operations. Examples illuminate how angles, projections, and rotations arise from component form and geometric reasoning.

The book blends theory with worked problems, illustrating how vectors can model motion, areas, volumes, and intersections of loci. It introduces tensors, rotors, and the notion of a vector normal, while keeping operations consistent across spaces of different dimensions. Readers will gain both a solid conceptual framework and concrete techniques for handling vectors in multiple dimensions.

• Foundational definitions of vectors, components, and basic operations


• Geometric interpretation of addition, subtraction, and projections


• Rules for vector multiplication, including collinearity and coplanarity


• Applications to curves, surfaces, and intersections in space

Ideal for students and professionals who want a clear, hands‑on approach to vector geometry and its extensions beyond ordinary 3D space.

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