{"product_id":"boolean-valued-analysis-von-a-g-kusraev-semen-samsonovich-kutateladze","title":"Boolean Valued Analysis","description":"\n                                \n                \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                                \n                \n                \u003cp\u003e\n                                        This 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. \n                    \n                    \u003cem\u003e\u003c\/em\u003e\n                                    \n                \u003c\/p\u003e\n                                \n                \n                \u003cp\u003e\n                                        \n                    \u003cem\u003eAudience:\u003c\/em\u003e\n                                         This volume is intended for classical analysts seeking powerful new tools, and for model theorists in search of challenging applications of nonstandard models. \n                \n                \u003c\/p\u003e\n                            \n            \u003cdiv class=\"aw-variant-hidden-subtitle-div\" id=\"aw-variant-subtitle-9789401059084\"\u003e\u003ch3\u003e\u003c\/h3\u003e\u003c\/div\u003e","brand":"Libri","offers":[{"title":"Softcover - 9789401059084","offer_id":39415598088285,"sku":"9789401059084","price":128.39,"currency_code":"EUR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0940\/0622\/files\/547c1438-9ac6-4f6d-b38b-4d1fd2749a15.jpg?v=1772176072","url":"https:\/\/shop.autorenwelt.de\/en\/products\/boolean-valued-analysis-von-a-g-kusraev-semen-samsonovich-kutateladze","provider":"Autorenwelt Shop","version":"1.0","type":"link"}