{"product_id":"introduction-to-metric-and-topological-spaces-oxford-mathematics-9780199563081","title":"Introduction to Metric and Topological Spaces (Oxford Mathematics)","description":"\u003cp\u003eOne of the ways in which topology has influenced other branches of mathematics in the past few decades is by putting the study of continuity and convergence into a general setting. This new edition of Wilson Sutherlands classic text introduces metric and topological spaces by describing some of that influence. The aim is to move gradually from familiar real analysis to abstract topological spaces  using metric spaces as a bridge between the two. The language of metric and topological spaces is established with continuity as the motivating concept. Several concepts are introduced  first in metric spaces and then repeated for topological spaces  to help convey familiarity. The discussion develops to cover connectedness  compactness and completeness  a trio widely used in the rest of mathematics.  Topology also has a more geometric aspect which is familiar in popular expositions of the subject as rubber-sheet geometry  with pictures of Mbius bands  doughnuts  Klein bottles and the like; this geometric aspect is illustrated by describing some standard surfaces  and it is shown how all this fits into the same story as the more analytic developments.  The book is primarily aimed at second- or third-year mathematics students. There are numerous exercises  many of the more challenging ones accompanied by hints  as well as a companion website  with further explanations and examples as well as material supplementary to that in the book.\u003c\/p\u003e","brand":"My Store","offers":[{"title":"Default Title","offer_id":45789774250037,"sku":"ByrdShop_019956308X","price":51.29,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0627\/8139\/0901\/files\/9780199563081.jpg?v=1784697839","url":"https:\/\/atxbooks.com\/products\/introduction-to-metric-and-topological-spaces-oxford-mathematics-9780199563081","provider":"ATX Books","version":"1.0","type":"link"}