{"product_id":"9789814566414","title":"Differential Geometry For Physicists And Mathematicians: Moving Frames And Differential Forms: From Euclid Past Riemann: Moving Frames and Differential Forms: From Euclid Past Riemann","description":"\u003cp\u003eThis is a book that the author wishes had been available to him when he was student. It reflects his interest in knowing (like expert mathematicians) the most relevant mathematics for theoretical physics, but in the style of physicists. This means that one is not facing the study of a collection of definitions, remarks, theorems, corollaries, lemmas, etc. but a narrative — almost like a story being told — that does not impede sophistication and deep results.\u003c\/p\u003e\u003cp\u003eIt covers differential geometry far beyond what general relativists perceive they need to know. And it introduces readers to other areas of mathematics that are of interest to physicists and mathematicians, but are largely overlooked. Among these is Clifford Algebra and its uses in conjunction with differential forms and moving frames. It opens new research vistas that expand the subject matter.\u003c\/p\u003e\u003cp\u003eIn an appendix on the classical theory of curves and surfaces, the author slashes not only the main proofs of the traditional approach, which uses vector calculus, but even existing treatments that also use differential forms for the same purpose.\u003c\/p\u003e\u003cb\u003eContents:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eIntroduction:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\u003cli\u003eOrientations\u003c\/li\u003e\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eTools:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eDifferential Forms\u003c\/li\u003e\n\u003cli\u003eVector Spaces and Tensor Products\u003c\/li\u003e\n\u003cli\u003eExterior Differentiation\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eTwo Klein Geometries:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eAffine Klein Geometry\u003c\/li\u003e\n\u003cli\u003eEuclidean Klein Geometry\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eCartan Connections:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eGeneralized Geometry Made Simple\u003c\/li\u003e\n\u003cli\u003eAffine Connections\u003c\/li\u003e\n\u003cli\u003eEuclidean Connections\u003c\/li\u003e\n\u003cli\u003eRiemannian Spaces and Pseudo-Spaces\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003cli\u003e\n\u003cb\u003e\u003ci\u003eThe Future?:\u003c\/i\u003e\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eExtensions of Cartan\u003c\/li\u003e\n\u003cli\u003eUnderstand the Past to Imagine the Future\u003c\/li\u003e\n\u003cli\u003eA Book of Farewells\u003c\/li\u003e\n\u003c\/ul\u003e\n\u003c\/li\u003e\n\u003c\/ul\u003e\u003cbr\u003e\u003cb\u003eReadership:\u003c\/b\u003e Physicists and mathematicians working on differential geometry.\u003cbr\u003e\u003cb\u003eKey Features:\u003c\/b\u003e\u003cul\u003e\n\u003cli\u003eReader Friendly\u003c\/li\u003e\n\u003cli\u003eNaturalness\u003c\/li\u003e\n\u003cli\u003eRespect for the history of the subject and related incisiveness\u003c\/li\u003e\n\u003c\/ul\u003e","brand":"World Scientific Publishing Company, Incorporated","offers":[{"title":"Default Title","offer_id":47141187354864,"sku":"9789814566414","price":40.0,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0737\/7593\/9824\/files\/9789814566414_p0.jpg?v=1763691238","url":"https:\/\/shop-qa.barnesandnoble.com\/products\/9789814566414","provider":"Barnes \u0026 Noble (DEV)","version":"1.0","type":"link"}