Boolean Valued Analysis is popular PDF and ePub book, written by A.G. Kusraev in 2012-12-06, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Boolean Valued Analysis can be Read Online from any device for your convenience.
Boolean Valued Analysis Book PDF Summary
Boolean 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. 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. Audience: This volume is intended for classical analysts seeking powerful new tools, and for model theorists in search of challenging applications of nonstandard models.
Detail Book of Boolean Valued Analysis PDF
- Author : A.G. Kusraev
- Release : 06 December 2012
- Publisher : Springer Science & Business Media
- ISBN : 9789401144438
- Genre : Mathematics
- Total Page : 345 pages
- Language : English
- PDF File Size : 17,8 Mb
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