Description

Book Synopsis
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.

Table of Contents
Nonstandard Analysis; Banach Spaces; Banach Algerbas; Selected Research Topics.

Nonstandard Methods In Functional Analysis:

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    A Hardback by Siu-ah Ng

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      Publisher: World Scientific Publishing Co Pte Ltd
      Publication Date: Publication Date: 20/04/2010
      ISBN13: 9789814287548, 978-9814287548
      ISBN10: 9814287547

      Description

      Book Synopsis
      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.

      Table of Contents
      Nonstandard Analysis; Banach Spaces; Banach Algerbas; Selected Research Topics.

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