{"product_id":"theory-of-holors-a-generalization-of-tensors-paperback-9780521019002","title":"Theory of Holors; A Generalization of Tensors (Paperback) 9780521019002","description":"\u003cfont face=\"Georgia\"\u003e\r\n\u003cp\u003e\u003cfont size=\"6\"\u003eTheory of Holors\u003c\/font\u003e\u003cbr\u003e\r\n\u003cfont size=\"5\"\u003eA Generalization of Tensors\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cem\u003eEstablishes a method by which students and teachers can learn vector and tensor analysis by a uniformed treatment.\u003c\/em\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003cp\u003e\u003cfont size=\"4\"\u003eParry Hiram Moon (Author), Domina Eberle Spencer (Author)\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e9780521019002, Cambridge University Press\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePaperback, published 8 September 2005\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003e416 pages\u003cbr\u003e22.9 x 15.4 x 2.6 cm, 0.631 kg\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\r\n\r\n\r\n\u003cp align=\"justify\"\u003e\u003cstrong\u003e\u003cfont size=\"3\"\u003eThe 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.\u003c\/font\u003e\u003c\/strong\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003ePreface\u003cbr\u003e Nomenclature\u003cbr\u003e Historical introduction\u003cbr\u003e Part I. Holors: 1. Index notation\u003cbr\u003e 2. Holor algebra\u003cbr\u003e 3. Gamma products\u003cbr\u003e Part II. Transformations: 4. Tensors\u003cbr\u003e 5. Akinetors\u003cbr\u003e 6. Geometric spaces\u003cbr\u003e Part III. Holor Calculus: 7. The linear connection\u003cbr\u003e 8. The Riemann-Christoffel tensors\u003cbr\u003e Part IV. Space Structure: 9. Non-Riemannian spaces\u003cbr\u003e 10. Riemannian space\u003cbr\u003e 11. Euclidean space\u003cbr\u003e References\u003cbr\u003e Index.\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\u003cp\u003e\u003cfont size=\"3\"\u003eSubject Areas: Maths for engineers [\u003ca title=\"See our other books on Maths for engineers\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Maths%20for%20engineers%20%5BTBJ%5D%22\"\u003eTBJ\u003c\/a\u003e], Maths for scientists [\u003ca title=\"See our other books on Maths for scientists\" href=\"https:\/\/freshlyprintedbooks.co.uk\/search?q=%22Maths%20for%20scientists%20%5BPDE%5D%22\"\u003ePDE\u003c\/a\u003e]\u003c\/font\u003e\u003c\/p\u003e\r\n\r\n\r\n\u003c\/font\u003e","brand":"Cambridge University Press","offers":[{"title":"Default Title","offer_id":46005120139544,"sku":"9780521019002","price":50.19,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0730\/2037\/5320\/products\/9780521019002i_3967f978-050f-417d-a918-adadb3e206e2.jpg?v=1691376805","url":"https:\/\/freshlyprintedbooks.co.uk\/products\/theory-of-holors-a-generalization-of-tensors-paperback-9780521019002","provider":"Freshly Printed Books","version":"1.0","type":"link"}