Elementary Topics in Differential Geometry 在线电子书 图书标签: 数学 微分几何 Geometry UTM Math 数学-微分几何 微分几何7 in
发表于2024-12-23
Elementary Topics in Differential Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024
work on properties of hypersurfaces in higher dimensional Euclidean space; view the last coordinate as the graph of function with other coordinates as inputs; good preparation for working on surfaces in non-Euclidean space. Solutions available at: http://users.cecs.anu.edu.au/~xzhang/reading/dg_thorpe.html
评分微分几何教材
评分I like the written style of this book.
评分微分几何教材
评分work on properties of hypersurfaces in higher dimensional Euclidean space; view the last coordinate as the graph of function with other coordinates as inputs; good preparation for working on surfaces in non-Euclidean space. Solutions available at: http://users.cecs.anu.edu.au/~xzhang/reading/dg_thorpe.html
This introductory text develops the geometry of n-dimensional oriented surfaces in Rn+1. By viewing such surfaces as level sets of smooth functions, the author is able to introduce global ideas early without the need for preliminary chapters developing sophisticated machinery. the calculus of vector fields is used as the primary tool in developing the theory. Coordinate patches are introduced only after preliminary discussions of geodesics, parallel transport, curvature, and convexity. Differential forms are introduced only as needed for use in integration. The text, which draws significantly on students' prior knowledge of linear algebra, multivariate calculus, and differential equations, is designed for a one-semester course at the junior/senior level.
Keywords:
* Differential geometrie
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Elementary Topics in Differential Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024