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Theory of Holors: A Generalization of Tensors by Parry Hiram Moon (English) Pape
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eBay item number:388611725772
Item specifics
- Condition
- ISBN-13
- 9780521019002
- Book Title
- Theory of Holors
- ISBN
- 9780521019002
About this product
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
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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Seller Feedback (1,054,745)
- s***7 (34)- Feedback left by buyer.Past monthVerified purchaseThanks
- 8***1 (4759)- Feedback left by buyer.Past monthVerified purchaseDelighted to get this book on correspondences. It is an informative introduction to Swedenborg and his Doctrine of Correspondences. Much appreciated.
- e***i (308)- Feedback left by buyer.Past monthVerified purchaseBook arrived in perfect condition.