Volker Runde's A Taste of Topology (Universitext) PDF

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 regularly intriguing workout one has to move via prior to you can learn nice works of literature within the unique language. the current publication grew out of notes for an introductory topology direction on the college of Alberta. It presents a concise advent 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 reap the benefits of a few elements. nice care has been dedicated to the choice of examples that aren't self-serving, yet already obtainable for college students who've a history in calculus and basic algebra, yet now not 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 facts of Tychonoff's theorem; a brief and stylish, yet little identified evidence for the Stone-Weierstrass theorem is given.

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