{"product_id":"metric-spaces-9781852339227","title":"Metric Spaces","description":"\u003cp\u003e • Author(s): Satish Shirali\u003cbr\u003e • Publisher: Springer\u003cbr\u003e • Publisher Imprint: Springer\u003cbr\u003e • BISAC: Mathematical Analysis\u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e\u003cp\u003e\u003cb\u003eFrom the Back Cover\u003c\/b\u003e\u003cbr\u003e\u003c\/p\u003e\u003cp\u003eThis volume provides a complete introduction to metric space theory for undergraduates. It covers the topology of metric spaces, continuity, connectedness, compactness and product spaces, and includes results such as the Tietze-Urysohn extension theorem, Picard's theorem on ordinary differential equations, and the set of discontinuities of the pointwise limit of a sequence of continuous functions. Key features include: \u003c\/p\u003e \u003cp\u003ea full chapter on product metric spaces, including a proof of Tychonoff's Theorem \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e \u003cp\u003ea wealth of examples and counter-examples from real analysis, sequence spaces and spaces of continuous functions \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e \u003cp\u003enumerous exercises - with solutions to most of them - to test understanding. \u003c\/p\u003e\u003cp\u003e\u003c\/p\u003e \u003cp\u003eThe only prerequisite is a familiarity with the basics of real analysis: the authors take care to ensure that no prior knowledge of measure theory, Banach spaces or Hilbert spaces is assumed. The material is developed at a leisurely pace and applications of the theory are discussed throughout, making this book ideal as a classroom text for third- and fourth-year undergraduates or as a self-study resource for graduate students and researchers. \u003c\/p\u003e","brand":"Springer","offers":[{"title":"Paperback","offer_id":45277226631319,"sku":"9781852339227","price":4040.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781852339227.webp?v=1769287824","url":"https:\/\/atlanticbooks.com\/products\/metric-spaces-9781852339227","provider":"Atlantic Books","version":"1.0","type":"link"}