Advances in Analysis, Probability and Mathematical Physics: Contributions of Nonstandard Analysis
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1995
|
| Schriftenreihe: | Mathematics and Its Applications
314 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called 'Nonstandard analysis'. 'Nonstandard' here refers to the nature of new fields of numbers as defined by nonstandard models of the first-order theory of the reals. This system of numbers was closely related to the ring of Schmieden and Laugwitz, developed independently a few years earlier. During the last thirty years the use of nonstandard models in mathematics has taken its rightful place among the various methods employed by mathematicians. The contributions in this volume have been selected to present a panoramic view of the various directions in which nonstandard analysis is advancing, thus serving as a source of inspiration for future research. Papers have been grouped in sections dealing with analysis, topology and topological groups; probability theory; and mathematical physics. This volume can be used as a complementary text to courses in nonstandard analysis, and will be of interest to graduate students and researchers in both pure and applied mathematics and physics |
| Beschreibung: | 1 Online-Ressource (X, 252 p) |
| ISBN: | 9789401584517 9789048144815 |
| DOI: | 10.1007/978-94-015-8451-7 |
Internformat
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| 500 | |a In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called 'Nonstandard analysis'. 'Nonstandard' here refers to the nature of new fields of numbers as defined by nonstandard models of the first-order theory of the reals. This system of numbers was closely related to the ring of Schmieden and Laugwitz, developed independently a few years earlier. During the last thirty years the use of nonstandard models in mathematics has taken its rightful place among the various methods employed by mathematicians. The contributions in this volume have been selected to present a panoramic view of the various directions in which nonstandard analysis is advancing, thus serving as a source of inspiration for future research. Papers have been grouped in sections dealing with analysis, topology and topological groups; probability theory; and mathematical physics. This volume can be used as a complementary text to courses in nonstandard analysis, and will be of interest to graduate students and researchers in both pure and applied mathematics and physics | ||
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Datensatz im Suchindex
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| author | Albeverio, Sergio A. |
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| dewey-full | 515 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
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| discipline | Mathematik |
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| spelling | Albeverio, Sergio A. Verfasser aut Advances in Analysis, Probability and Mathematical Physics Contributions of Nonstandard Analysis edited by Sergio A. Albeverio, Wilhelm A. J. Luxemburg, Manfred P. H. Wolff Dordrecht Springer Netherlands 1995 1 Online-Ressource (X, 252 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 314 In 1961 Robinson introduced an entirely new version of the theory of infinitesimals, which he called 'Nonstandard analysis'. 'Nonstandard' here refers to the nature of new fields of numbers as defined by nonstandard models of the first-order theory of the reals. This system of numbers was closely related to the ring of Schmieden and Laugwitz, developed independently a few years earlier. During the last thirty years the use of nonstandard models in mathematics has taken its rightful place among the various methods employed by mathematicians. The contributions in this volume have been selected to present a panoramic view of the various directions in which nonstandard analysis is advancing, thus serving as a source of inspiration for future research. Papers have been grouped in sections dealing with analysis, topology and topological groups; probability theory; and mathematical physics. This volume can be used as a complementary text to courses in nonstandard analysis, and will be of interest to graduate students and researchers in both pure and applied mathematics and physics Mathematics Global analysis (Mathematics) Geometry Statistics Analysis Statistics, general Theoretical, Mathematical and Computational Physics Mathematik Statistik Nonstandard-Analysis (DE-588)4137021-1 gnd rswk-swf 1\p (DE-588)1071861417 Konferenzschrift 1992 Blaubeuren gnd-content 2\p (DE-588)1071861417 Konferenzschrift 1992 Tübingen gnd-content Nonstandard-Analysis (DE-588)4137021-1 s 3\p DE-604 Luxemburg, Wilhelmus A. J. 1929-2018 Sonstige (DE-588)126155038 oth Wolff, Manfred P. H. Sonstige oth https://doi.org/10.1007/978-94-015-8451-7 Verlag 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 3\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Albeverio, Sergio A. Advances in Analysis, Probability and Mathematical Physics Contributions of Nonstandard Analysis Mathematics Global analysis (Mathematics) Geometry Statistics Analysis Statistics, general Theoretical, Mathematical and Computational Physics Mathematik Statistik Nonstandard-Analysis (DE-588)4137021-1 gnd |
| subject_GND | (DE-588)4137021-1 (DE-588)1071861417 |
| title | Advances in Analysis, Probability and Mathematical Physics Contributions of Nonstandard Analysis |
| title_auth | Advances in Analysis, Probability and Mathematical Physics Contributions of Nonstandard Analysis |
| title_exact_search | Advances in Analysis, Probability and Mathematical Physics Contributions of Nonstandard Analysis |
| title_full | Advances in Analysis, Probability and Mathematical Physics Contributions of Nonstandard Analysis edited by Sergio A. Albeverio, Wilhelm A. J. Luxemburg, Manfred P. H. Wolff |
| title_fullStr | Advances in Analysis, Probability and Mathematical Physics Contributions of Nonstandard Analysis edited by Sergio A. Albeverio, Wilhelm A. J. Luxemburg, Manfred P. H. Wolff |
| title_full_unstemmed | Advances in Analysis, Probability and Mathematical Physics Contributions of Nonstandard Analysis edited by Sergio A. Albeverio, Wilhelm A. J. Luxemburg, Manfred P. H. Wolff |
| title_short | Advances in Analysis, Probability and Mathematical Physics |
| title_sort | advances in analysis probability and mathematical physics contributions of nonstandard analysis |
| title_sub | Contributions of Nonstandard Analysis |
| topic | Mathematics Global analysis (Mathematics) Geometry Statistics Analysis Statistics, general Theoretical, Mathematical and Computational Physics Mathematik Statistik Nonstandard-Analysis (DE-588)4137021-1 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Geometry Statistics Analysis Statistics, general Theoretical, Mathematical and Computational Physics Mathematik Statistik Nonstandard-Analysis Konferenzschrift 1992 Blaubeuren Konferenzschrift 1992 Tübingen |
| url | https://doi.org/10.1007/978-94-015-8451-7 |
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