Riemannian Geometry pdf epub mobi txt 电子书 下载 2024


Riemannian Geometry

简体网页||繁体网页
Isaac Chavel
Cambridge University Press
1994-01-28
400
USD 69.95
Hardcover
9780521432016

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发表于2024-11-25

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

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

Riemannian Geometry pdf epub mobi txt 电子书 下载 2024



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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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