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Nonstandard methods in functional analysis: Lectures and notes PDF

337 Pages·2010·2.687 MB·English
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by Siu-Ah Ng.| 2010| 337 pages| 2.687| English

About Nonstandard methods in functional analysis: Lectures and notes

In the early 1960s, 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. This publication aims to fill this gap.

Detailed Information

Author:Siu-Ah Ng.
Publication Year:2010
ISBN:9789814287548
Pages:337
Language:English
File Size:2.687
Format:PDF
Price:FREE
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