A First Course in Topology 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024


A First Course in Topology

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John McCleary 作者
American Mathematical Society
譯者
2006-04-07 出版日期
210 頁數
USD 35.00 價格
Paperback
Student Mathematical Library 叢書系列
9780821838846 圖書編碼

A First Course in Topology 在線電子書 圖書標籤: 微分拓撲7  Topology  Mathematics   


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A First Course in Topology 在線電子書 epub 下載 mobi 下載 pdf 下載 txt 下載 2024

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A First Course in Topology 在線電子書 pdf 下載 txt下載 epub 下載 mobi 下載 2024



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A First Course in Topology 在線電子書 著者簡介

John McCleary: Vassar College, Poughkeepsie, NY


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A First Course in Topology 在線電子書 pdf 下載 txt下載 epub 下載 mobi 在線電子書下載

A First Course in Topology 在線電子書 圖書描述

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.

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