A Geometrical Vector Algebra (Classic Reprint) - Couverture souple

Hall, T. Proctor

9781333548018: A Geometrical Vector Algebra (Classic Reprint)

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ISBN 10 : 133354801X ISBN 13 : 9781333548018

Editeur : Forgotten Books, 2018

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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.

Les informations fournies dans la section � Synopsis � peuvent faire r�f�rence � une autre �dition de ce titre.

�diteur: Forgotten Books
Date d'�dition: 2018
Langue: anglais
ISBN 10: 133354801X
ISBN 13: 9781333548018
Reliure: Broch�
Nombre de pages: 38
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A Geometrical Vector Algebra (Classic Reprint)

T. Proctor Hall

Edit� par Forgotten Books, 2018

ISBN 10 : 133354801X ISBN 13 : 9781333548018

Neuf Paperback

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Vendeur : Forgotten Books, London, Royaume-Uni

�valuation du vendeur 4 sur 5 �toiles

Paperback. Etat : 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. N� de r�f. du vendeur 9781333548018_0

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