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200 10$aNonstandard methods in functional analysis$b[electronic resource] $electures and notes /$fSiu-Ah Ng
210   $aSingapore ;$aHackensack, NJ $cWorld Scientific$dc2010
215   $a1 online resource (340 p.)
300   $aDescription based upon print version of record.
311   $a981-4287-54-7 
320   $aIncludes bibliographical references and index.
327   $aPreface; Convention and Symbols; List of Theorems; Contents; 1. Nonstandard Analysis; 2. Banach Spaces; 3. Banach Algebras; 4. Selected Research Topics; Suggestions for Further Reading; Bibliography; Index
330   $aIn the early 1960's, by using techniques from the model theory of first-order logic, Robinson gave a rigorous formulation and extension of Leibniz' infinitesimal calculus. Since then, the methodology has found applications in a wide spectrum of areas in mathematics, with particular success in the probability theory and functional analysis. In the latter, fruitful results were produced with Luxemburg's invention of the nonstandard hull construction. However, there is still no publication of a coherent and self-contained treatment of functional analysis using methods from nonstandard analysis.
606   $aFunctional analysis
606   $aNonstandard mathematical analysis
608   $aElectronic books.
615  0$aFunctional analysis.
615  0$aNonstandard mathematical analysis.
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