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This title in other editions

Theory of Holors

by

Theory of Holors Cover

 

Synopses & Reviews

Publisher Comments:

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.

Synopsis:

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.

Synopsis:

Establishes a method by which students and teachers can learn vector and tensor analysis by a uniformed treatment.

Table of Contents

Preface; Nomenclature; Historical introduction; Part I. Holors: 1. Index notation; 2. Holor algebra; 3. Gamma products; Part II. Transformations: 4. Tensors; 5. Akinetors; 6. Geometric spaces; Part III. Holor Calculus: 7. The linear connection; 8. The Riemann-Christoffel tensors; Part IV. Space Structure: 9. Non-Riemannian spaces; 10. Riemannian space; 11. Euclidean space; References; Index.

Product Details

ISBN:
9780521245852
Author:
Spencer, Domina Eberle
Publisher:
Cambridge University Press
Photographer:
Spencer, Domina Eberle
Author:
Parry Hiram, Moon
Author:
Spencer, Domina Eberle
Author:
Moon, Parry Hiram
Location:
Cambridge Cambridgeshire ;
Subject:
Mathematical Physics
Subject:
Vector Analysis
Subject:
Calculus of tensors
Subject:
Calculus of tensors Calculus of tensors
Subject:
Mathematics : Vector Analysis
Edition Description:
Bibliography: p. 376-386.
Series Volume:
3
Publication Date:
19860631
Binding:
Paperback
Grade Level:
Professional and scholarly
Language:
English
Illustrations:
Yes
Pages:
416
Dimensions:
5.98x9.01x1.06 in. 1.71 lbs.

Related Subjects

Education » Writing
Reference » Science Reference » Technology
Science and Mathematics » Biology » Zoology » General
Science and Mathematics » Mathematics » Vector Analysis
Science and Mathematics » Physics » Math

Theory of Holors New Hardcover
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Product details 416 pages Cambridge University Press - English 9780521245852 Reviews:
"Synopsis" by , 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.
"Synopsis" by , Establishes a method by which students and teachers can learn vector and tensor analysis by a uniformed treatment.
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