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Elementary Topics in Differential Geometry pdf epub mobi txt 電子書下載 2024

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Thorpe, John A.

Spring

1979

253

USD 90.34

Hardcover

Undergraduate Texts in Mathematics

9780387903576

圖書標籤: 數學微分幾何 Geometry UTM Math 數學-微分幾何微分幾何7 in

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Elementary Topics in Differential Geometry epub 下載 mobi 下載 pdf 下載 txt 電子書下載 2024

Elementary Topics in Differential Geometry pdf epub mobi txt 電子書下載 2024

圖書描述

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

Elementary Topics in Differential Geometry 下載 mobi epub pdf txt 電子書

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Elementary Topics in Differential Geometry pdf epub mobi txt 電子書下載

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微分幾何教材

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I like the written style of this book.

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微分幾何教材

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微分幾何教材

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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