Inhaltsangabe
Explore a hands‑on guide to vectors, rotors, and tensors in 2–4 dimensions.
This clear introduction presents geometric vector algebra as a practical framework for understanding space, motion, and the math that underpins both theory and applications. The text uses step‑by‑step rules, notation, and worked examples to build intuition about how vectors combine, rotate, and interact in multiple dimensions. This edition frames topics from the ground up, starting with basic notation, vector addition and subtraction, and coplanar and collinear vectors. It then introduces multiplication rules, operator behavior, and how these ideas generalize to higher dimensions. You’ll find discussions of differentiation, curvature, projections, and how to describe complex loci as geometric combinations of simpler elements. The material is presented with geometric explanations and algebraic formulations that connect to familiar concepts like curves, surfaces, and solids.
- Foundations: vector notation, addition, subtraction, and basic geometry in 2–4 dimensions
- Vector multiplication: how operators interact, non‑commutativity, and tensor concepts
- Geometry in motion: rotors, rotations, and how vectors transform under operations
- Advanced topics: differentiation, curvature, projections, and locus descriptions
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A Geometrical Vector Algebra (Classic Reprint)
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Paperback. Zustand: New. Print on Demand. This book offers a profound exploration of vector algebra, a subject often ascribed to both geometry and algebra. Throughout the narrative, the reader is encouraged to view the subject from both perspectives, continually shifting between algebraic and geometric interpretations. The book introduces a groundbreaking definition for vector multiplication and division, resulting in geometric congruence between algebraic vector operations and the actual operations performed on the vectors themselves. These operations may be applied in various three-dimensional spaces and with complex numbers, spherical trigonometry, and quaternion rotations appearing as special cases. The book's comprehensiveness includes a detailed analysis of the subject's theoretical foundations and its diverse applications, providing an invaluable resource for students, researchers, and practitioners seeking a deeper understanding of vector algebra and its far-reaching applications. This book is a reproduction of an important historical work, digitally reconstructed using state-of-the-art technology to preserve the original format. In rare cases, an imperfection in the original, such as a blemish or missing page, may be replicated in the book. print-on-demand item. Bestandsnummer des Verkäufers 9781333548018_0
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A Geometrical Vector Algebra Classic Reprint
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PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781333548018
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A Geometrical Vector Algebra Classic Reprint
Anbieter: PBShop.store UK, Fairford, GLOS, Vereinigtes Königreich
Verkäuferbewertung 5 von 5 Sternen
PAP. Zustand: New. New Book. Shipped from UK. Established seller since 2000. Bestandsnummer des Verkäufers LW-9781333548018
Neu kaufen
EUR 24,60
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