微分几何 epub pdf mobi txt 电子书 下载 2025

微分几何 epub pdf mobi txt 电子书 下载 2025

微分几何 epub pdf mobi txt 电子书 下载 2025

内容简介

This book is a study of an aspect of Elie Cartan's contribution to thequestion "What is geometry?"
In the last century two great generalizations of Euclidean geometry ap-peared. The first was the discovery of the non-Euclidean geometries. Thesewere organized into a coherent whole by Felix Klein, who recognized themas various examples of coset spaces G/H of Lie groups. In this book we refer to these latter as Klein geometries. The second generalization was Georg Riemann's discovery of what we now call Riemannian geometry. These two theories seemed largely incompatible with one other.1
In the early 1920s Elie Cartan, one of the pioneers of the theory of Lie groups, found that it was possible to obtain a common generalization of these theories, which he called espaces generalizes and we call Cartan geometries (see diagram).

目录

前言/序言

微分几何 epub pdf mobi txt 电子书 下载 2025

书确实是好书

1854年德国数学家黎曼（B. Riemann）在他的就职演讲（Habilitationsschrift）中将高斯的理论推广到n维空间，这就是黎曼几何的诞生。其后许多数学家，包括E. Beltrami， E. B. Christoffel，R. Lipschitz，L. Bianchi，T. Ricci开始沿着黎曼的思路进行研究。其中Bianchi是第一个将“微分几何”作为书名的作者。

书确实是好书

不错，实惠200减80买的

书确实是好书

书非常不错

质量不错。好评

质量不错。好评

整体微分几何