Theory of Holors

A Generalization of Tensors

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Hardcover | 29 September 1986

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416 Pages

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The word holor is a term coined by the authors to describe a mathematical entity that is made up of one or more independent quantities, and includes complex numbers, scalars, vectors, matrices, tensors, quaternions, and other hypernumbers. Holors, thus defined, have been known for centuries but each has been developed more or less independently, accompanied by separate nomenclature and theory. This book demonstrates how these complicated subjects can be made simple by using a single notation that applies to all holors, both tensor and nontensor. The authors consider all possible types of holors and develop holor algebra and holor calculus in the most general sense. Thus the reader will learn to develop a new holor that fits the application, rather than forcing an application onto a holor representation that is known but that does not perfectly describe the application. The discussion includes nontensors having no transformation and holors that transform in more complicated ways than allowed with ordinary tensors. This opens up the possibility to devise a holor for a new physical application, without being limited to a few conventional types of holor. This book should establish a method by which students and teachers can learn vector and tensor analysis via a uniform treatment. Graduate students and professionals in engineering, physics. applied mathematics, chemistry, biology, psychology, and other analytical sciences should find this to be a useful and innovative work.

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Non-Fiction Mathematics Calculus & Mathematical Analysis Calculus Engineering & Technology Technology in General Maths for Engineers Science Science in General Maths for Scientists Physics

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Paperback

Published: 8th September 2005

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Preface
Nomenclature
Historical Introduction
Holors
Index notation
Holor algebra
Gamma products
Transformations
Tensors
Akinetors
Geometric spaces
Holor Calculus
The linear connection
The Riemann-Christoffel tensors
Space Structure
Non-Riemannian spaces
Riemannian space
Euclidean space
References
Index
Table of Contents provided by Publisher. All Rights Reserved.

Theory of Holors

A Generalization of Tensors

At a Glance

Hardcover

Shipping

How to return your order

Defective items

You Can Find This Book In

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Paperback

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