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

By Volker Runde

If arithmetic is a language, then taking a topology direction on the undergraduate point is cramming vocabulary and memorizing abnormal verbs: an important, yet no longer constantly intriguing workout one has to move via prior to you could learn nice works of literature within the unique language. the current e-book grew out of notes for an introductory topology path 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 obtainable 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 available for college kids who've a history in calculus and common algebra, yet no longer inevitably in actual or complicated research. In a few issues, the e-book treats its fabric otherwise than different texts at the topic: Baire's theorem is derived from Bourbaki's Mittag-Leffler theorem; nets are used greatly, specifically for an intuitive evidence of Tychonoff's theorem; a brief and chic, yet little recognized evidence for the Stone-Weierstrass theorem is given.

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A Taste of Topology (Universitext) by Volker Runde

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