New PDF release: A Taste of Topology (Universitext)

By Volker Runde

ISBN-10: 038725790X

ISBN-13: 9780387257907

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 continuously intriguing workout one has to move via earlier than you can learn nice works of literature within the unique language. the current ebook grew out of notes for an introductory topology path on the college of Alberta. It presents a concise advent to set theoretic topology (and to a tiny bit of algebraic topology). it truly 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 students who've a heritage in calculus and simple algebra, yet no longer unavoidably in genuine or advanced research. In a few issues, the booklet treats its fabric in a different way than different texts at the topic: Baire's theorem is derived from Bourbaki's Mittag-Leffler theorem; nets are used widely, specifically for an intuitive facts 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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