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

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Isaac Chavel 作者

Cambridge University Press

译者

1994-01-28 出版日期

400 页数

USD 69.95 价格

Hardcover

丛书系列

9780521432016 图书编码

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发表于2024-07-04

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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

This book provides an introduction to Riemannian geometry, the geometry of curved spaces. Its main theme is the effect of the curvature of these spaces on the usual notions of geometry, angles, lengths, areas, and volumes, and those new notions and ideas motivated by curvature itself. Isoperimetric inequalities--the interplay of curvature with volume of sets and the areas of their boundaries--is reviewed along with other specialized classical topics. A number of completely new themes are created by curvature: they include local versus global geometric properties, that is, the interaction of microscopic behavior of the geometry with the macroscopic structure of the space. Also featured is an ambitious "Notes and Exercises" section for each chapter that will develop and enrich the reader's appetite and appreciation for the subject.

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