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Introduction to Topological Manifolds (Graduate Texts in Mathematics) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

Introduction to Topological Manifolds (Graduate Texts in Mathematics)
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简体网页||繁体网页
John M. Lee 作者
Springer
译者
2000-05-25 出版日期
402 页数
USD 44.95 价格
Paperback
Graduate Texts in Mathematics 丛书系列
9780387950266 图书编码

Introduction to Topological Manifolds (Graduate Texts in Mathematics) 在线电子书 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   

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发表于2024-12-23

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Introduction to Topological Manifolds (Graduate Texts in Mathematics) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Introduction to Topological Manifolds (Graduate Texts in Mathematics) 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

Introduction to Topological Manifolds (Graduate Texts in Mathematics) 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024


Introduction to Topological Manifolds (Graduate Texts in Mathematics) 在线电子书 用户评价

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Introduction to Topological Manifolds (Graduate Texts in Mathematics) 在线电子书 著者简介

Introduction to Topological Manifolds (Graduate Texts in Mathematics) 在线电子书 图书目录

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

Introduction to Topological Manifolds (Graduate Texts in Mathematics) 在线电子书 图书描述

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.

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