黎曼几何 2025 pdf epub mobi 电子书

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发表于2025-02-02

黎曼几何 2025 pdf epub mobi 电子书

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或许是天资愚钝，关于黎曼几何的书之前杂七杂八地翻过一些，但总觉得入不了门。但一看do Carmo的这本书，就好像忽然间开了窍一样，觉得那些概念和工具原来都是那么清楚和可爱。一口气把它给读完了，现在正在回头做上面的习题。

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出版者:世界图书出版公司

作者:Manfredo Perdigao do Carmo

出品人:

页数:300

译者:

出版时间:2008-5

价格:49.00元

装帧:

isbn号码:9787506292184

丛书系列:

图书标签: 黎曼几何数学微分几何几何 do·carmo 拓扑 math Differential_Geometry

黎曼几何 2025 pdf epub mobi 电子书图书描述

《黎曼几何》主要内容：The object of this book is to familiarize the reader with the basic language of and some fundamental theorems in Riemannian Geometry. To avoid referring to previous knowledge of differentiable manifolds, we include Chapter 0, which contains those concepts and results on differentiable manifolds which are used in an essential way in the rest of the book。

The first four chapters of the book present the basic concepts of Riemannian Geometry (Riemannian metrics, Riemannian connections, geodesics and curvature). A good part of the study of Riemannian Geometry consists of understanding the relationship between geodesics and curvature. Jacobi fields, an essential tool for this understanding, are introduced in Chapter 5. In Chapter 6 we introduce the second fundamental form associated with an isometric immersion, and prove a generalization of the Theorem Egregium of Gauss. This allows us to relate the notion of curvature in Riemannian manifolds to the classical concept of Gaussian curvature for surfaces。

黎曼几何 2025 pdf epub mobi 电子书

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