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Isaac Chavel 作者

Cambridge University Press

译者

2006-04-10 出版日期

488 页数

USD 45.00 价格

Paperback

Cambridge Studies in Advanced Mathematics 丛书系列

9780521619547 图书编码

Riemannian Geometry 在线电子书图书标签: 几何 geometry

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Riemannian Geometry 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Riemannian Geometry 在线电子书图书描述

Requiring only an understanding of differentiable manifolds, Isaac Chavel covers introductory ideas followed by a selection of more specialized topics in this second edition. He provides a clearer treatment of many topics, with new proofs of some theorems and a new chapter on the Riemannian geometry of surfaces. Among the classical topics shown in a new setting is isoperimetric inequalities in curved spaces. Completely new themes created by curvature include the classical Rauch comparison theorem and its consequences in geometry and topology, and the interaction of microscopic behavior of the geometry with the macroscopic structure of the space.

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