Download e-book for kindle: A Taste of Topology (Universitext) by Volker Runde

By Volker Runde

If arithmetic is a language, then taking a topology path on the undergraduate point is cramming vocabulary and memorizing abnormal verbs: an important, yet now not continually intriguing workout one has to move via earlier than it is easy to learn nice works of literature within the unique language. the current ebook grew out of notes for an introductory topology direction on the collage of Alberta. It presents a concise creation to set theoretic topology (and to a tiny bit of algebraic topology). it really is available to undergraduates from the second one 12 months on, yet even starting graduate scholars can make the most of a few components. nice care has been dedicated to the choice of examples that aren't self-serving, yet already obtainable for college kids who've a historical past in calculus and basic algebra, yet no longer inevitably in actual or advanced research. In a few issues, the publication treats its fabric otherwise than different texts at the topic: Baire's theorem is derived from Bourbaki's Mittag-Leffler theorem; nets are used broadly, particularly for an intuitive evidence of Tychonoff's theorem; a brief and stylish, yet little identified evidence for the Stone-Weierstrass theorem is given.

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A Taste of Topology (Universitext) by Volker Runde

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