Elementary Topics in Differential Geometry 2025 pdf epub mobi 电子书

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发表于2025-01-11

Elementary Topics in Differential Geometry 2025 pdf epub mobi 电子书

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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 in

Elementary Topics in Differential Geometry 2025 pdf epub mobi 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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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

Elementary Topics in Differential Geometry 2025 pdf epub mobi 电子书