Nonstandard methods in functional analysis: lectures and notes
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| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New Jersey
World Scientific
©2010
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| Subjects: | |
| Online Access: | FAW01 FAW02 Volltext |
| Item Description: | Includes bibliographical references and index 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. Th |
| Physical Description: | 1 Online-Ressource (xxii, 316 pages) |
| ISBN: | 9789814287548 9789814287555 9814287547 9814287555 |
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| spelling | Ng, Siu-Ah Verfasser aut Nonstandard methods in functional analysis lectures and notes Siu-Ah Ng New Jersey World Scientific ©2010 1 Online-Ressource (xxii, 316 pages) txt rdacontent c rdamedia cr rdacarrier Includes bibliographical references and index 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. Th Mathematics MATHEMATICS / Functional Analysis bisacsh Mathematik Functional analysis Nonstandard mathematical analysis Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Nonstandard-Analysis (DE-588)4137021-1 gnd rswk-swf Nonstandard-Analysis (DE-588)4137021-1 s 1\p DE-604 Funktionalanalysis (DE-588)4018916-8 s 2\p DE-604 http://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&db=nlabk&AN=340784 Aggregator Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 2\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Ng, Siu-Ah Nonstandard methods in functional analysis lectures and notes Mathematics MATHEMATICS / Functional Analysis bisacsh Mathematik Functional analysis Nonstandard mathematical analysis Funktionalanalysis (DE-588)4018916-8 gnd Nonstandard-Analysis (DE-588)4137021-1 gnd |
| subject_GND | (DE-588)4018916-8 (DE-588)4137021-1 |
| title | Nonstandard methods in functional analysis lectures and notes |
| title_auth | Nonstandard methods in functional analysis lectures and notes |
| title_exact_search | Nonstandard methods in functional analysis lectures and notes |
| title_full | Nonstandard methods in functional analysis lectures and notes Siu-Ah Ng |
| title_fullStr | Nonstandard methods in functional analysis lectures and notes Siu-Ah Ng |
| title_full_unstemmed | Nonstandard methods in functional analysis lectures and notes Siu-Ah Ng |
| title_short | Nonstandard methods in functional analysis |
| title_sort | nonstandard methods in functional analysis lectures and notes |
| title_sub | lectures and notes |
| topic | Mathematics MATHEMATICS / Functional Analysis bisacsh Mathematik Functional analysis Nonstandard mathematical analysis Funktionalanalysis (DE-588)4018916-8 gnd Nonstandard-Analysis (DE-588)4137021-1 gnd |
| topic_facet | Mathematics MATHEMATICS / Functional Analysis Mathematik Functional analysis Nonstandard mathematical analysis Funktionalanalysis Nonstandard-Analysis |
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