Nonstandard Methods in Functional Analysis
by
Siu-ah Ng
Book Details
Format
Hardback or Cased Book
ISBN-10
9814287547
ISBN-13
9789814287548
Publisher
World Scientific Publishing Co Pte Ltd
Imprint
World Scientific Publishing Co Pte Ltd
Country of Manufacture
GB
Country of Publication
GB
Publication Date
Apr 20th, 2010
Print length
340 Pages
Weight
628 grams
Dimensions
23.30 x 15.90 x 2.40 cms
Product Classification:
Functional analysis & transformsFunctional analysis and transforms
Ksh 15,300.00
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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. This title presents a self-contained treatment of functional analysis using methods from nonstandard analysis.
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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