Elementary Topics in Differential Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Thorpe, John A. 作者

Spring

译者

1979 出版日期

253 页数

USD 90.34 价格

Hardcover

Undergraduate Texts in Mathematics 丛书系列

9780387903576 图书编码

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

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Elementary Topics in Differential Geometry 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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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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Elementary Topics in Differential Geometry 在线电子书著者简介

Elementary Topics in Differential Geometry 在线电子书图书目录

Elementary Topics in Differential Geometry 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

Elementary Topics in Differential Geometry 在线电子书图书描述

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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