{"title":"Jan Arnoldus Schouten","description":null,"products":[{"product_id":"ricci-calculus-book-jan-arnoldus-schouten-9783642056925","title":"Ricci-Calculus","description":"This is an entirely new book. The first edition appeared in 1923 and at that time it was up to date. But in 193 5 and 1938 the author and Prof. D. J. STRUIK published a new book, their Einfuhrung I and li, and this book not only gave the first systematic introduction to the kernel- index method but also contained many notions that had come into prominence since 1923. For instance densities, quantities of the second kind, pseudo-quantities, normal Coordinates, the symbolism of exterior forms, the LIE derivative, the theory of variation and deformation and the theory of subprojective connexions were included. Now since 1938 there have been many new developments and so a book on RICI cal- culus and its applications has to cover quite different ground from the book of 1923. Though the purpose remains to make the reader acquainted with RICI's famous instrument in its modern form, the book must have quite a different methodical structure and quite different applica- tions have to be chosen. The first chapter contains algebraical preliminaries but the whole text is modernized and there is a section on hybrid quantities (quantities with indices of the first and of the second kind) and one on the many abridged notations that have been developed by several authors. In the second chapter the most important analytical notions that come before the introduction of a connexion aredealt with in full.","brand":"WoB","offers":[{"title":"GB \/ NEW \/ INGRAM","offer_id":52141753237777,"sku":"NLS9783642056925","price":0.0,"currency_code":"GBP","in_stock":true},{"title":"US \/ NEW \/ INGRAM","offer_id":52761785008401,"sku":"NIN9783642056925","price":0.0,"currency_code":"GBP","in_stock":false}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783642056925.jpg?v=1757578112"},{"product_id":"der-ricci-kalkul-book-jan-arnoldus-schouten-9783662065464","title":"Der Der Ricci-Kalkül","description":"Bei der Herausgabe dieses Buches mochte ich an dieser Stelle Herrn L. Berwald in Prag, Herrn D. J. Struik in Delft und Herrn R. WeitzenbOck in Blaricum, die mich durch das Mitlesen der Korrek- turen sowie durch viele wichtige Bemerkungen aufs wirksamste unter- stiitzt haben, meinen verbindlichsten Dank aussprechen. Einen freundschaftlichen GruB dem mathematischen Kreise in Hamburg, wo es mir vergonnt war, im Sommersemester dieses Jahres iiber die mehrdimensionale Affingeometrie zu lesen. Manche anregende Bemerkung zum vierten Abschnitt brachte mir diese schOne Zeit, die mir immer in freudiger Erinnerung bleiben wird. Der Verlagsbuchhandlung Julius Springer meinen besonderen Dank fiir die sorgfaltige Behandlung der Korrekturen, die mir die sauere Arbeit des Korrigierens fast zu einer Freude machte. Delft, im Dezember 1923. J. A. Schouten. Inhaltsverzeichnis. Seite Einleitung . . . 1 I. Der algebraische Tei  des Kalkiils.   1. Die allgemeine Mannigfaltigkeit Xn . . 8   2. Der Begriff der Ubertragung . . . . . . 9   3. Die euklidischaffine Mannigfaltigkeit En . 9   4. Kontravariante und kovariante Vektoren . 12   5. Kontravariante und kovariante Bivektoren, Trivektoren usw. 17   6. Geometrische Darstellung kontravarianter und kovarianter p-Vektoren bei Einschrankung der Gruppe 20   7. Allgemeine GriiBen . . . . . . . . . . 23   8. Die Uberschiebungen . . . . . . . . . 28   9. Geometrische Darstellung der Tensoren 32   10. GriiBen zweiten Grades und lineare Transformationen 33   11. Die Einfiihrung einer MaBbestimmung in der En . . 36   12. Die Fundamentaltensoren. . . . . . . . . . . . . 38   13. Geometrische Darstellung alternierender GriiBen bei der orthogonalen und rotationalen Gruppe. Metrische Eigenschaften . . . . . . . . 41   14. Metrische Eigenschaften eines Te-nsors zweiten Grades. . . . . . .","brand":"WoB","offers":[{"title":"- \/ - \/ INTERNAL","offer_id":52661006696721,"sku":null,"price":0.0,"currency_code":"GBP","in_stock":true},{"title":"GB \/ NEW \/ INGRAM","offer_id":52661007581457,"sku":"NLS9783662065464","price":0.0,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0784\/4072\/6801\/files\/9783662065464.jpg?v=1762266483"}],"url":"https:\/\/www.worldofbooks.com\/collections\/author-books-by-jan-arnoldus-schouten.oembed","provider":"World of Books ","version":"1.0","type":"link"}