Elementary Topics in Differential Geometry

Elementary Topics in Differential Geometry pdf epub mobi txt 电子书 下载 2025

出版者:Spring
作者:Thorpe, John A.
出品人:
页数:253
译者:
出版时间:1979
价格:USD 90.34
装帧:Hardcover
isbn号码:9780387903576
丛书系列:Undergraduate Texts in Mathematics
图书标签:
  • 数学 
  • 微分几何 
  • Geometry 
  • UTM 
  • Math 
  • 数学-微分几何 
  • 微分几何7 
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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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微分几何教材

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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

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