A First Course in Topology pdf epub mobi txt 电子书 下载 2024


A First Course in Topology

简体网页||繁体网页
John McCleary
American Mathematical Society
2006-04-07
210
USD 35.00
Paperback
Student Mathematical Library
9780821838846

图书标签: 微分拓扑7  Topology  Mathematics   


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发表于2024-12-25

A First Course in Topology epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

A First Course in Topology epub 下载 mobi 下载 pdf 下载 txt 电子书 下载 2024

A First Course in Topology pdf epub mobi txt 电子书 下载 2024



图书描述

How many dimensions does our universe require for a comprehensive physical description? In 1905, Poincaré argued philosophically about the necessity of the three familiar dimensions, while recent research is based on 11 dimensions or even 23 dimensions. The notion of dimension itself presented a basic problem to the pioneers of topology. Cantor asked if dimension was a topological feature of Euclidean space. To answer this question, some important topological ideas were introduced by Brouwer, giving shape to a subject whose development dominated the twentieth century.

The basic notions in topology are varied and a comprehensive grounding in point-set topology, the definition and use of the fundamental group, and the beginnings of homology theory requires considerable time. The goal of this book is a focused introduction through these classical topics, aiming throughout at the classical result of the Invariance of Dimension.

This text is based on the author's course given at Vassar College and is intended for advanced undergraduate students. It is suitable for a semester-long course on topology for students who have studied real analysis and linear algebra. It is also a good choice for a capstone course, senior seminar, or independent study.

A First Course in Topology 下载 mobi epub pdf txt 电子书

著者简介

John McCleary: Vassar College, Poughkeepsie, NY


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