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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| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
New Jersey :
World Scientific,
©2010.
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| Online-Zugang: | Volltext |
| Zusammenfassung: | 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. |
| Beschreibung: | 1 online resource (xxii, 316 pages) : illustrations |
| Bibliographie: | Includes bibliographical references and index. |
| ISBN: | 9789814287555 9814287555 |
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| 505 | 0 | |a Preface; Convention and Symbols; List of Theorems; Contents; 1. Nonstandard Analysis; 2. Banach Spaces; 3. Banach Algebras; 4. Selected Research Topics; Suggestions for Further Reading; Bibliography; Index. | |
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| spelling | Ng, Siu-Ah. http://id.loc.gov/authorities/names/no2003055658 Nonstandard methods in functional analysis : lectures and notes / Siu-Ah Ng. New Jersey : World Scientific, ©2010. 1 online resource (xxii, 316 pages) : illustrations text txt rdacontent computer c rdamedia online resource cr rdacarrier Includes bibliographical references and index. Print version record. 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. Preface; Convention and Symbols; List of Theorems; Contents; 1. Nonstandard Analysis; 2. Banach Spaces; 3. Banach Algebras; 4. Selected Research Topics; Suggestions for Further Reading; Bibliography; Index. Functional analysis. http://id.loc.gov/authorities/subjects/sh85052312 Nonstandard mathematical analysis. http://id.loc.gov/authorities/subjects/sh85082118 Analyse fonctionnelle. Analyse mathématique non standard. MATHEMATICS Functional Analysis. bisacsh Functional analysis fast Nonstandard mathematical analysis fast has work: Nonstandard methods in functional analysis (Text) https://id.oclc.org/worldcat/entity/E39PCGxycWvkmgTPcF9MkFqb3P https://id.oclc.org/worldcat/ontology/hasWork Print version: Ng, Siu-Ah. Nonstandard methods in functional analysis. Singapore ; Hackensack, NJ : World Scientific, ©2010 9789814287548 (DLC) 2010004689 (OCoLC)428026402 FWS01 ZDB-4-EBA FWS_PDA_EBA https://search.ebscohost.com/login.aspx?direct=true&scope=site&db=nlebk&AN=340784 Volltext |
| spellingShingle | Ng, Siu-Ah Nonstandard methods in functional analysis : lectures and notes / Preface; Convention and Symbols; List of Theorems; Contents; 1. Nonstandard Analysis; 2. Banach Spaces; 3. Banach Algebras; 4. Selected Research Topics; Suggestions for Further Reading; Bibliography; Index. Functional analysis. http://id.loc.gov/authorities/subjects/sh85052312 Nonstandard mathematical analysis. http://id.loc.gov/authorities/subjects/sh85082118 Analyse fonctionnelle. Analyse mathématique non standard. MATHEMATICS Functional Analysis. bisacsh Functional analysis fast Nonstandard mathematical analysis fast |
| subject_GND | http://id.loc.gov/authorities/subjects/sh85052312 http://id.loc.gov/authorities/subjects/sh85082118 |
| 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. http://id.loc.gov/authorities/subjects/sh85052312 Nonstandard mathematical analysis. http://id.loc.gov/authorities/subjects/sh85082118 Analyse fonctionnelle. Analyse mathématique non standard. MATHEMATICS Functional Analysis. bisacsh Functional analysis fast Nonstandard mathematical analysis fast |
| topic_facet | Functional analysis. Nonstandard mathematical analysis. Analyse fonctionnelle. Analyse mathématique non standard. MATHEMATICS Functional Analysis. Functional analysis Nonstandard mathematical analysis |
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