Introduction to Topological Manifolds (Graduate Texts in Mathematics)

Introduction to Topological Manifolds (Graduate Texts in Mathematics) pdf epub mobi txt 电子书 下载 2025

出版者:Springer
作者:John M. Lee
出品人:
页数:402
译者:
出版时间:2000-05-25
价格:USD 44.95
装帧:Paperback
isbn号码:9780387950266
丛书系列:Graduate Texts in Mathematics
图书标签:
  • 数学 
  • 拓扑流形 
  • 拓扑 
  • Topology 
  • 流形 
  • 小径分岔的花园 
  • 几何 
  • topology 
  •  
想要找书就要到 图书目录大全
立刻按 ctrl+D收藏本页
你会得到大惊喜!!

This book is an introduction to manifolds at the beginning graduate level. It contains the essential topological ideas that are needed for the further study of manifolds, particularly in the context of differential geometry, algebraic topology, and related fields. Its guiding philosophy is to develop these ideas rigorously but economically, with minimal prerequisites and plenty of geometric intuition. A course on manifolds differs from most other introductory mathematics graduate courses in that the subject matter is often completely unfamiliar. Unlike algebra and analysis, which all math majors see as undergraduates, manifolds enter the curriculum much later. It is even possible to get through an entire undergraduate mathematics education without ever hearing the word "manifold." Yet manifolds are part of the basic vocabulary of modern mathematics, and students need to know them as intimately as they know the integers, the real numbers, Euclidean spaces, groups, rings, and fields. In his beautifully conceived introduction, the author motivates the technical developments to follow by explaining some of the roles manifolds play in diverse branches of mathematics and physics. Then he goes on to introduce the basics of general topology and continues with the fundamental group, covering spaces, and elementary homology theory. Manifolds are introduced early and used as the main examples throughout. John M. Lee is currently Professor of Mathematics at the University of Washington.

具体描述

读后感

评分

评分

评分

评分

评分

用户评价

评分

办公室我刷着top manifolds 背后菊苣刷着smooth manifolds

评分

办公室我刷着top manifolds 背后菊苣刷着smooth manifolds

评分

这本书写的真wordy,怎么能算上GTM来着hhhh

评分

为了改作业又自学了一遍……

评分

这本书写的真wordy,怎么能算上GTM来着hhhh

本站所有内容均为互联网搜索引擎提供的公开搜索信息,本站不存储任何数据与内容,任何内容与数据均与本站无关,如有需要请联系相关搜索引擎包括但不限于百度google,bing,sogou

© 2025 book.wenda123.org All Rights Reserved. 图书目录大全 版权所有