Synopsis
Explore a bold attempt to generalize algebra for physical space and unify core math tools. This edition presents a thoughtful look at extending quaternions, determinants, and Grassmann’s methods into a broader space analysis that aims to apply directly to physical quantities.
This work surveys the motivations, challenges, and proposed structure of a space-based algebra. It contrasts quaternion notation with determinant sign conventions and shows how a generalized approach could simplify and align algebra with physical reasoning. Readers will encounter the idea that the square of a directed quantity is essentially positive and how this insight shapes space mathematics. The material covers how new symbolic tools and operations might extend quaternion differentiation and connect algebra to rotations, vectors, and analytic methods used in physics.
- Foundations for a space-algebra that unifies several analytic tools
- Discussions of sign conventions, vector products, and their algebraic consequences
- Generalizations of trigonometry in space, including products of angles and rotations
- Introductions to symbolic vectors and new operations for physical calculations
Ideal for readers who enjoy the history and development of mathematical ideas, and for those curious about how algebra can better model physical space.
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Papers on Space Analysis (Classic Reprint)
impression à la demandeVendeur : Forgotten Books, London, Royaume-Uni
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Paperback. Etat : New. Print on Demand. This book sets out to furnish readers with a more complete understanding of the algebra of physics, aiming to unify separate branches of mathematical analysis and extend the applications of the calculus. The author believes that there is a more complete algebra which unites Quaternions, Grassmann's method and Determinants, and should be applied to physical quantities in space. They go on to assert that algebra, as laid out in this text, can be applied directly to physical quantities, resolving the long-standing difficulties that have made the application of algebra to geometry and physics such a painstaking task. Providing an accessible route into the history, intricacies, and practical applications of physics and algebra, this book will appeal to advanced students of mathematics, physicists, and historians of science alike. 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 réf. du vendeur 9781333754419_0
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EUR 18,53
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Expédition depuis Royaume-Uni vers Etats-Unis
Expédition depuis Royaume-Uni vers Etats-Unis
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Papers on Space Analysis Classic Reprint
Vendeur : PBShop.store US, Wood Dale, IL, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781333754419
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EUR 29,49
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Expédition nationale : Etats-Unis
Expédition nationale : Etats-Unis
Quantité disponible : 15 disponible(s)
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Papers on Space Analysis Classic Reprint
Vendeur : PBShop.store UK, Fairford, GLOS, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
PAP. Etat : New. New Book. Shipped from UK. Established seller since 2000. N° de réf. du vendeur LW-9781333754419
Acheter neuf
EUR 27,13
Expédition à EUR 4,82
Expédition depuis Royaume-Uni vers Etats-Unis
Expédition depuis Royaume-Uni vers Etats-Unis
Quantité disponible : 15 disponible(s)