Riemannian Geometry in an Orthogonal Frame pdf epub mobi txt 電子書下載2025

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Élie Joseph Cartan (9 April 1869 – 6 May 1951) was an influential French mathematician, who did fundamental work in the theory of Lie groups and their geometric applications. He also made significant contributions to mathematical physics, differential geometry, and group theory.

He was the father of another influential mathematician, Henri Cartan.

http://en.wikipedia.org/wiki/%C3%89lie_Cartan

出版者:World Scientific Pub Co Inc

作者:[法]Elie Cartan

出品人:

頁數:300

译者:Vladislav V. Goldberg

出版時間:2002-3

價格:USD46.00

裝幀:Pap

isbn號碼:9789810247478

叢書系列:

圖書標籤:

黎曼幾何
數學
微分幾何
mathematics
Geometry
微分幾何7
幾何
WS

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Elie Cartan's book "Geometry of Riemannian Manifolds" (1928) was one of the best introductions to his methods. It was based on lectures given by the author at the Sorbonne in the academic year 1925-26. A modernized and extensively augmented edition appeared in 1946 (2nd printing, 1951; 3rd printing, 1988). Cartan's lectures in 1926-27 were different - he introduced exterior forms at the very beginning and used orthogonal frames throughout to investigate the geometry of Riemannian manifolds. In this course, he solved a series of problems in Euclidean and non-Euclidean spaces, as well as a series of variational problems on geodesics. The lectures were translated into Russian in the book "Riemannian Geometry in an Orthogonal Frame" (1960). This book has many innovations, such as the notion of intrinsic normal differentiation and the Gaussian torsion of a submanifold in a Euclidean multidimensional space or in a space of constant curvature, an affine connection defined in a normal fibre bundle of a submanifold, and so on. This book was available neither in English nor in French. It has now been translated into English by Vladislav V. Goldberg, currently Distinguished Professor of Mathematics at the New Jersey Institute of Technology, USA, who edited the Russian edition.

http://www.amazon.com/Riemannian-Geometry-Orthogonal-Frame-Delivered/dp/9810247478