Nonstandard methods in functional analysis

Nonstandard methods in functional analysis: lectures and notes

by Ng, Siu-Ah

Type Book
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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 coh…

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Title Statements

  • Full title :Nonstandard methods in functional analysis : lectures and notes / Siu-Ah Ng

Summary

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.

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Edition Statements

  • Publication Date:c2010

Publication Statements

  • Publisher(s):World Scientific
  • Place of Publication:Singapore ;Hackensack, NJ
  • Language:eng
  • Publication Date:c2010

Notes

Includes bibliographical references and index

The Physical Object

  • Description:Online-Ressource (xxii, 316 p) : ill.

Edition Identifiers

  • ISBN:9789814287548, 9814287547
  • oclc:ocn838371257
  • LC Classification:QA321
  • Dewey Decimal:515/.7

Subjects

Analyse fonctionnelle Analyse mathématique non standard Functional analysis Nonstandard mathematical analysis

Writers

Ng, Siu-Ah

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