{"product_id":"a-taste-of-topology-9780387257907","title":"A Taste of Topology","description":"\u003cp\u003e • Author(s): Volker Runde\u003cbr\u003e • Publisher: Springer Verlag\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • Subject: Mathematics and Statistics\u003cbr\u003e • BISAC: Topology - General\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eIf 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.\u003c\/p\u003e \u003cp\u003eThe 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.\u003c\/p\u003e \u003cp\u003eGreat 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.\u003c\/p\u003e \u003cp\u003eIn some points, the book treats its material differently than other texts on the subject: \u003c\/p\u003e \u003cp\u003e* Baire's theorem is derived from Bourbaki's Mittag-Leffler theorem;\u003c\/p\u003e \u003cp\u003e* Nets are used extensively, in particular for an intuitive proof of Tychonoff's theorem;\u003c\/p\u003e \u003cp\u003e* A short and elegant, but little known proof for the Stone-Weierstrass theorem is given.\u003c\/p\u003e","brand":"Springer Verlag","offers":[{"title":"Paperback","offer_id":45091066839191,"sku":"9780387257907","price":4315.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9780387257907.webp?v=1769203636","url":"https:\/\/atlanticbooks.com\/products\/a-taste-of-topology-9780387257907","provider":"Atlantic Books","version":"1.0","type":"link"}