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 th...
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| Main Author: | |
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| Format: | Electronic eBook |
| Language: | English |
| Published: |
Singapore
World Scientific Pub. Co.
c2010
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| Online Access: | FHN01 Volltext |
| 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 |
| Physical Description: | xxii, 316 p. ill |
| ISBN: | 9789814287555 |
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| isbn | 9789814287555 |
| language | English |
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| spelling | Ng, Siu-Ah Verfasser aut Nonstandard methods in functional analysis lectures and notes Siu-Ah Ng Singapore World Scientific Pub. Co. c2010 xxii, 316 p. ill txt rdacontent c rdamedia cr rdacarrier 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 Functional analysis Nonstandard mathematical analysis Nonstandard-Analysis (DE-588)4137021-1 gnd rswk-swf Funktionalanalysis (DE-588)4018916-8 gnd rswk-swf Nonstandard-Analysis (DE-588)4137021-1 s 1\p DE-604 Funktionalanalysis (DE-588)4018916-8 s 2\p DE-604 Erscheint auch als Druck-Ausgabe 9789814287548 Erscheint auch als Druck-Ausgabe 9814287547 http://www.worldscientific.com/worldscibooks/10.1142/7466#t=toc Verlag URL des Erstveroeffentlichers 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 Functional analysis Nonstandard mathematical analysis Nonstandard-Analysis (DE-588)4137021-1 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| subject_GND | (DE-588)4137021-1 (DE-588)4018916-8 |
| 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 | Functional analysis Nonstandard mathematical analysis Nonstandard-Analysis (DE-588)4137021-1 gnd Funktionalanalysis (DE-588)4018916-8 gnd |
| topic_facet | Functional analysis Nonstandard mathematical analysis Nonstandard-Analysis Funktionalanalysis |
| url | http://www.worldscientific.com/worldscibooks/10.1142/7466#t=toc |
| work_keys_str_mv | AT ngsiuah nonstandardmethodsinfunctionalanalysislecturesandnotes |