{"product_id":"geometric-approximation-theory-9783030909505","title":"Geometric Approximation Theory","description":"\u003cp\u003e\u003c\/p\u003e\u003cblockquote\u003eThis monograph provides a comprehensive introduction to classical geometric approximation theory, emphasizing uniqueness, stability, and existence of elements of best approximation. It discusses the interrelations between main objects and presents auxiliary problems for demonstration. The book covers existence and uniqueness, properties of sets, and approximation by abstract sets, with novel results throughout. It is suitable for both theoretical and applied viewpoints and researchers interested in advanced aspects of the field. \u003c\/blockquote\u003e\u003cp\u003e\u003cstrong\u003eFormat\u003c\/strong\u003e: Hardback\u003cbr\u003e\u003cstrong\u003eLength\u003c\/strong\u003e: 508 pages\u003cbr\u003e\u003cstrong\u003ePublication date\u003c\/strong\u003e: 29 March 2022\u003cbr\u003e\u003cstrong\u003ePublisher\u003c\/strong\u003e: Springer Nature Switzerland AG\u003cbr\u003e\u003c\/p\u003e \u003cp\u003e\u003cbr\u003eThis comprehensive monograph offers a thorough introduction to classical geometric approximation theory, emphasizing key themes such as uniqueness, stability, and the existence of elements of best approximation. It presents a multitude of fundamental results for both these and related problems, many of which are presented in monograph form for the first time. The text also explores the interconnections between the main objects of geometric approximation theory, formulating a series of auxiliary problems for demonstration. Central ideas encompass the problems of existence and uniqueness of elements of best approximations, as well as properties of sets such as subspaces of polynomials and splines, classes of rational functions, and abstract subsets of normed linear spaces. The book begins with a brief introduction to geometric approximation theory, progressing through fundamental classical ideas and results as a foundation for various approximation sets, suns, and Chebyshev systems. It concludes with a review of approximation by abstract sets and related problems, presenting novel results throughout the section. This text is suitable for both theoretical and applied perspectives, particularly for researchers with an interest in advanced aspects of the field.\u003c\/p\u003e\u003cp\u003e\u003cstrong\u003eWeight\u003c\/strong\u003e: 957g\u003cbr\u003e\u003cstrong\u003eDimension\u003c\/strong\u003e: 235 x 155 (mm)\u003cbr\u003e\u003cstrong\u003eISBN-13\u003c\/strong\u003e: 9783030909505\u003cbr\u003e \u003cstrong\u003eEdition number\u003c\/strong\u003e: 1st ed. 2021\u003c\/p\u003e","brand":"Alexey R. Alimov,Igor' G. Tsar'kov","offers":[{"title":"Hardback","offer_id":44103005798650,"sku":"9783030909505","price":108.28,"currency_code":"GBP","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0522\/4297\/2845\/products\/noImage_1_cfea4053-cc92-42dd-ae78-03a2a58cd6a9.jpg?v=1669553718","url":"https:\/\/shulphink.com\/products\/geometric-approximation-theory-9783030909505","provider":"Shulph Ink","version":"1.0","type":"link"}