黎曼几何在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Manfredo Perdigao do Carmo 作者

世界图书出版公司

译者

2008-5 出版日期

300 页数

49.00元价格

丛书系列

9787506292184 图书编码

黎曼几何在线电子书图书标签: 黎曼几何数学微分几何几何 do·carmo 拓扑 math Differential_Geometry

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黎曼几何在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

黎曼几何在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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好书，但我一道题没做...

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黎曼几何

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似乎是最简单的一本????不过习题里面内容也还是有很多的，值得去做一做

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黎曼几何

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黎曼几何

黎曼几何在线电子书著者简介

黎曼几何在线电子书图书目录

黎曼几何在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

黎曼几何在线电子书图书描述

《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。

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