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Theory of Holors: A Generalization of Tensors by Parry Hiram Moon (English) Pape

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Características del artículo

Estado
Nuevo: Libro nuevo, sin usar y sin leer, que está en perfecto estado; incluye todas las páginas sin ...
ISBN-13
9780521019002
Book Title
Theory of Holors
ISBN
9780521019002

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Product Identifiers

Publisher
Cambridge University Press
ISBN-10
0521019001
ISBN-13
9780521019002
eBay Product ID (ePID)
47556484

Product Key Features

Number of Pages
416 Pages
Language
English
Publication Name
Theory of Holors : a Generalization of Tensors
Publication Year
2005
Subject
Calculus, Physics / Mathematical & Computational
Type
Textbook
Author
Domina Eberle Spencer, Parry Hiram Moon
Subject Area
Mathematics, Science
Format
Trade Paperback

Dimensions

Item Height
1 in
Item Weight
22.3 Oz
Item Length
9 in
Item Width
6.1 in

Additional Product Features

Intended Audience
Scholarly & Professional
LCCN
2006-272917
Dewey Edition
22
Illustrated
Yes
Dewey Decimal
515/.63
Table Of Content
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.
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., 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.
LC Classification Number
QA433 .M66 1986

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