{"product_id":"9789401059084","title":"Mathematics and Its Applications","description":"\u003ch1\u003eMathematics and Its Applications\u003c\/h1\u003e \u003ch2\u003eKusraev, A.G.; Kutateladze, Semën Samsonovich\u003c\/h2\u003e \u003cp\u003e\u003c\/p\u003e\u003cp\u003eBoolean valued analysis is a technique for studying properties of an arbitrary mathematical object by comparing its representations in two different set-theoretic models whose construction utilises principally distinct Boolean algebras. The use of two models for studying a single object is a characteristic of the so-called non-standard methods of analysis. Application of Boolean valued models to problems of analysis rests ultimately on the procedures of ascending and descending, the two natural functors acting between a new Boolean valued universe and the von Neumann universe.\u003c\/p\u003e\n\u003cp\u003eThis book demonstrates the main advantages of Boolean valued analysis which provides the tools for transforming, for example, function spaces to subsets of the reals, operators to functionals, and vector-functions to numerical mappings. Boolean valued representations of algebraic systems, Banach spaces, and involutive algebras are examined thoroughly. \u003cem\u003e\u003c\/em\u003e\u003c\/p\u003e\n\u003cp\u003e\u003cem\u003eAudience:\u003c\/em\u003e This volume is intended for classical analysts seeking powerful new tools, and for model theorists in search of challenging applications of nonstandard models. \u003c\/p\u003e \u003ch3\u003eDetails\u003c\/h3\u003e \u003cp\u003ePublished by: Springer\u003c\/p\u003e \u003cp\u003ePublication Date: 2012-10-26\u003c\/p\u003e \u003cp\u003eFormat: Paperback\u003c\/p\u003e \u003cp\u003eISBN-13: 9789401059084\u003c\/p\u003e \u003cp\u003eDOI: 10.1007\/978-94-011-4443-8\u003c\/p\u003e \u003cp\u003eDimensions: 240cm x160cm\u003c\/p\u003e \u003cp\u003ePages: 332\u003c\/p\u003e ","brand":"Springer Netherlands","offers":[{"title":"Default Title","offer_id":44358904217740,"sku":"9789401059084","price":116.99,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0710\/9545\/1788\/files\/9789401059084.jpg?v=1775679774","url":"https:\/\/fh90cf-fv.myshopify.com\/products\/9789401059084","provider":"Late Knight Books and Services, LLC","version":"1.0","type":"link"}