Riemannian Geometry 2024 pdf epub mobi 电子书

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发表于2024-11-24

Riemannian Geometry 2024 pdf epub mobi 电子书

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出版者:Cambridge University Press

作者:Isaac Chavel

出品人:

页数:400

译者:

出版时间:1994-01-28

价格:USD 69.95

装帧:Hardcover

isbn号码:9780521432016

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Riemannian Geometry 2024 pdf epub mobi 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.

Riemannian Geometry 2024 pdf epub mobi 电子书

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