Nonstandard Methods of Analysis:
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1994
|
| Schriftenreihe: | Mathematics and Its Applications
291 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | Nonstandard Methods of Analysis is concerned with the main trends in this field; infinitesimal analysis and Boolean-valued analysis. The methods that have been developed in the last twenty-five years are explained in detail, and are collected in book form for the first time. Special attention is paid to general principles and fundamentals of formalisms for infinitesimals as well as to the technique of descents and ascents in a Boolean-valued universe. The book also includes various novel applications of nonstandard methods to ordered algebraic systems, vector lattices, subdifferentials, convex programming etc. that have been developed in recent years. For graduate students, postgraduates and all researchers interested in applying nonstandard methods in their work |
| Beschreibung: | 1 Online-Ressource (VIII, 439 p) |
| ISBN: | 9789401111362 9789401044974 |
| DOI: | 10.1007/978-94-011-1136-2 |
Internformat
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Datensatz im Suchindex
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| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-011-1136-2 |
| format | Electronic eBook |
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| indexdate | 2024-07-10T01:21:14Z |
| institution | BVB |
| isbn | 9789401111362 9789401044974 |
| language | English |
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| spelling | Kusraev, Anatoly G. Verfasser aut Nonstandard Methods of Analysis by Anatoly G. Kusraev, Semen S. Kutateladze Dordrecht Springer Netherlands 1994 1 Online-Ressource (VIII, 439 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 291 Nonstandard Methods of Analysis is concerned with the main trends in this field; infinitesimal analysis and Boolean-valued analysis. The methods that have been developed in the last twenty-five years are explained in detail, and are collected in book form for the first time. Special attention is paid to general principles and fundamentals of formalisms for infinitesimals as well as to the technique of descents and ascents in a Boolean-valued universe. The book also includes various novel applications of nonstandard methods to ordered algebraic systems, vector lattices, subdifferentials, convex programming etc. that have been developed in recent years. For graduate students, postgraduates and all researchers interested in applying nonstandard methods in their work Mathematics Functional analysis Logic, Symbolic and mathematical Mathematical optimization Topology Mathematical Logic and Foundations Real Functions Functional Analysis Optimization Mathematik Nonstandard-Analysis (DE-588)4137021-1 gnd rswk-swf Infinitesimalanalysis (DE-588)4161657-1 gnd rswk-swf Nonstandard-Analysis (DE-588)4137021-1 s 1\p DE-604 Infinitesimalanalysis (DE-588)4161657-1 s 2\p DE-604 Kutateladze, Semen S. Sonstige oth https://doi.org/10.1007/978-94-011-1136-2 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 |
| spellingShingle | Kusraev, Anatoly G. Nonstandard Methods of Analysis Mathematics Functional analysis Logic, Symbolic and mathematical Mathematical optimization Topology Mathematical Logic and Foundations Real Functions Functional Analysis Optimization Mathematik Nonstandard-Analysis (DE-588)4137021-1 gnd Infinitesimalanalysis (DE-588)4161657-1 gnd |
| subject_GND | (DE-588)4137021-1 (DE-588)4161657-1 |
| title | Nonstandard Methods of Analysis |
| title_auth | Nonstandard Methods of Analysis |
| title_exact_search | Nonstandard Methods of Analysis |
| title_full | Nonstandard Methods of Analysis by Anatoly G. Kusraev, Semen S. Kutateladze |
| title_fullStr | Nonstandard Methods of Analysis by Anatoly G. Kusraev, Semen S. Kutateladze |
| title_full_unstemmed | Nonstandard Methods of Analysis by Anatoly G. Kusraev, Semen S. Kutateladze |
| title_short | Nonstandard Methods of Analysis |
| title_sort | nonstandard methods of analysis |
| topic | Mathematics Functional analysis Logic, Symbolic and mathematical Mathematical optimization Topology Mathematical Logic and Foundations Real Functions Functional Analysis Optimization Mathematik Nonstandard-Analysis (DE-588)4137021-1 gnd Infinitesimalanalysis (DE-588)4161657-1 gnd |
| topic_facet | Mathematics Functional analysis Logic, Symbolic and mathematical Mathematical optimization Topology Mathematical Logic and Foundations Real Functions Functional Analysis Optimization Mathematik Nonstandard-Analysis Infinitesimalanalysis |
| url | https://doi.org/10.1007/978-94-011-1136-2 |
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