Theory of holors: a generalization of tensors
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...
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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
1986
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| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 URL des Erstveröffentlichers |
| Zusammenfassung: | 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 |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (xix, 392 pages) |
| ISBN: | 9780511524462 |
| DOI: | 10.1017/CBO9780511524462 |
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| 520 | |a 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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| id | DE-604.BV043945588 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:39:24Z |
| institution | BVB |
| isbn | 9780511524462 |
| language | English |
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| publishDate | 1986 |
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| spelling | Moon, Parry Hiram 1898- Verfasser aut Theory of holors a generalization of tensors Parry Moon, Domina Eberle Spencer Cambridge Cambridge University Press 1986 1 online resource (xix, 392 pages) txt rdacontent c rdamedia cr rdacarrier Title from publisher's bibliographic system (viewed on 05 Oct 2015) 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 Calculus of tensors Tensoranalysis (DE-588)4204323-2 gnd rswk-swf Tensorrechnung (DE-588)4192487-3 gnd rswk-swf Tensorrechnung (DE-588)4192487-3 s 1\p DE-604 Tensoranalysis (DE-588)4204323-2 s 2\p DE-604 Spencer, Domina Eberle 1920- Sonstige oth Erscheint auch als Druckausgabe 978-0-521-01900-2 Erscheint auch als Druckausgabe 978-0-521-24585-2 https://doi.org/10.1017/CBO9780511524462 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Moon, Parry Hiram 1898- Theory of holors a generalization of tensors Calculus of tensors Tensoranalysis (DE-588)4204323-2 gnd Tensorrechnung (DE-588)4192487-3 gnd |
| subject_GND | (DE-588)4204323-2 (DE-588)4192487-3 |
| title | Theory of holors a generalization of tensors |
| title_auth | Theory of holors a generalization of tensors |
| title_exact_search | Theory of holors a generalization of tensors |
| title_full | Theory of holors a generalization of tensors Parry Moon, Domina Eberle Spencer |
| title_fullStr | Theory of holors a generalization of tensors Parry Moon, Domina Eberle Spencer |
| title_full_unstemmed | Theory of holors a generalization of tensors Parry Moon, Domina Eberle Spencer |
| title_short | Theory of holors |
| title_sort | theory of holors a generalization of tensors |
| title_sub | a generalization of tensors |
| topic | Calculus of tensors Tensoranalysis (DE-588)4204323-2 gnd Tensorrechnung (DE-588)4192487-3 gnd |
| topic_facet | Calculus of tensors Tensoranalysis Tensorrechnung |
| url | https://doi.org/10.1017/CBO9780511524462 |
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