Differential Geometry pdf epub mobi txt 电子书下载 2025

简体网页||繁体网页

☆☆☆☆☆

出版者:American Mathematical Society

作者:Wolfgang Kuhnel

出品人:

页数:403

译者:

出版时间:2015-12-22

价格:USD 49.00

装帧:Paperback

isbn号码:9781470423209

丛书系列:Student Mathematical Library

图书标签:

DifferentialGeometry
数学
微分几何
几何学
数学
拓扑学
流形
黎曼几何
曲线曲面
高等数学
数学分析
几何

下载链接在页面底部

facebook linkedin mastodon messenger pinterest reddit telegram twitter viber vkontakte whatsapp 复制链接

想要找书就要到图书目录大全

book.wenda123.org

立刻按 ctrl+D收藏本页

你会得到大惊喜!!

具体描述

This carefully written book is an introduction to the beautiful ideas and results of differential geometry. The first half covers the geometry of curves and surfaces, which provide much of the motivation and intuition for the general theory. The second part studies the geometry of general manifolds, with particular emphasis on connections and curvature. The text is illustrated with many figures and examples. The prerequisites are undergraduate analysis and linear algebra. This new edition provides many advancements, including more figures and exercises, and—as a new feature—a good number of solutions to selected exercises.

作者简介

Wolfgang Kühnel: University of Stuttgart, Stuttgart, Germany

目录信息

Cover 1
Title page 4
Contents 6
Preface to the English edition 10
Preface to the German edition 12
Chapter 1. Notations and prerequisites from analysis 14
Chapter 2. Curves in ℝⁿ 20
Chapter 3. The local theory of surfaces 68
Chapter 4. The intrinsic geometry of surfaces 146
Chapter 5. Riemannian manifolds 210
Chapter 6. The curvature tensor 246
Chapter 7. Spaces of constant curvature 278
Chapter 8. Einstein spaces 322
Solutions to selected exercises 374
Bibliography 404
List of notation 408
Index 410
Copying and reprinting notice 416
Other titles in this series 417
Back Cover 418
· · · · · · (收起)