A Taste of Topology 在线电子书 pdf 下载 txt下载 epub 下载 mobi 下载 2024

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Volker Runde 作者

Springer

译者

December 15, 2007 出版日期

182 页数

$ 56.44 价格

Pap

universitext 丛书系列

9780387257907 图书编码

A Taste of Topology 在线电子书图书标签: 数学业务书 topology of math Topology Taste Springer

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A Taste of Topology 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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A Taste of Topology 在线电子书图书描述

If mathematics is a language, then taking a topology course at the undergraduate level is cramming vocabulary and memorizing irregular verbs: a necessary, but not always exciting exercise one has to go through before one can read great works of literature in the original language.

The present book grew out of notes for an introductory topology course at the University of Alberta. It provides a concise introduction to set theoretic topology (and to a tiny little bit of algebraic topology). It is accessible to undergraduates from the second year on, but even beginning graduate students can benefit from some parts.

Great care has been devoted to the selection of examples that are not self-serving, but already accessible for students who have a background in calculus and elementary algebra, but not necessarily in real or complex analysis.

In some points, the book treats its material differently than other texts on the subject:

* Baire's theorem is derived from Bourbaki's Mittag-Leffler theorem;

* nets are used extensively, in particular for an intuitive proof of Tychonoff's theorem;

* a short and elegant, but little known proof for the Stone-Weierstrass theorem is given.

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