{"product_id":"9789401059084","title":"Boolean Valued Analysis (Mathematics and Its Applications) (Reprint)","description":"\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\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. \u003c\/p\u003e\n\n\u003cp\u003eAudience: 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","brand":"Springer Verlag","offers":[{"title":"Default Title","offer_id":48774456115435,"sku":"00000_00000_00000_00000","price":238.03,"currency_code":"SGD","in_stock":true}],"url":"https:\/\/kinokuniya.com.sg\/ja\/products\/9789401059084","provider":"Books Kinokuniya Singapore","version":"1.0","type":"link"}