Mendeley出力
＜図書＞
Theory of holors : a generalization of tensors
| 責任表示 | Parry Moon, Domina Eberle Spencer |
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| データ種別 | 図書 |
| 出版情報 | Cambridge [Cambridgeshire] : Cambridge University Press , c1986 |
| 本文言語 | 英語 |
| 大きさ | xix, 392 p. : ill., 1 port. ; 24 cm |
| 概要 | 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, tensor..., 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. 続きを見る |
所蔵情報
| 状態 | 巻次 | 所蔵場所 | 請求記号 | 刷年 | 文庫名称 | 資料番号 | コメント | 予約・取寄 | 複写申込 | 自動書庫 |
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理系図3F 数理独自 | MOON/10/K2 | c1986 |
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068252186011234 |
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書誌詳細
| 一般注記 | Bibliography: p. 376-386 Includes index |
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| 著者標目 | *Moon, Parry Hiram, 1898- Spencer, Domina Eberle, 1920- |
| 件 名 | LCSH:Calculus of tensors |
| 分 類 | LCC:QA433 DC19:515/.63 |
| 書誌ID | 1001053458 |
| ISBN | 0521245850 |
| NCID | BA00142698 |
| 巻冊次 | ISBN:0521245850 |
| 登録日 | 2009.09.17 |
| 更新日 | 2009.11.02 |