Infinitesimal Analysis:
Saved in:
| Main Author: | |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
Dordrecht
Springer Netherlands
2002
|
| Series: | Mathematics and Its Applications
544 |
| Subjects: | |
| Online Access: | Volltext |
| Item Description: | Infinitesimal analysis, once a synonym for calculus, is now viewed as a technique for studying the properties of an arbitrary mathematical object by discriminating between its standard and nonstandard constituents. Resurrected by A. Robinson in the early 1960's with the epithet 'nonstandard', infinitesimal analysis not only has revived the methods of infinitely small and infinitely large quantities, which go back to the very beginning of calculus, but also has suggested many powerful tools for research in every branch of modern mathematics. The book sets forth the basics of the theory, as well as the most recent applications in, for example, functional analysis, optimization, and harmonic analysis. The concentric style of exposition enables this work to serve as an elementary introduction to one of the most promising mathematical technologies, while revealing up-to-date methods of monadology and hyperapproximation. This is a companion volume to the earlier works on nonstandard methods of analysis by A.G. Kusraev and S.S. Kutateladze (1999), ISBN 0-7923-5921-6 and Nonstandard Analysis and Vector Lattices edited by S.S. Kutateladze (2000), ISBN 0-7923-6619-0 |
| Physical Description: | 1 Online-Ressource (XIV, 422 p) |
| ISBN: | 9789401700634 9789048160709 |
| DOI: | 10.1007/978-94-017-0063-4 |
Staff View
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| indexdate | 2024-07-10T01:21:15Z |
| institution | BVB |
| isbn | 9789401700634 9789048160709 |
| language | English |
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| spelling | Gordon, E. I. Verfasser aut Infinitesimal Analysis by E. I. Gordon, A. G. Kusraev, S. S. Kutateladze Dordrecht Springer Netherlands 2002 1 Online-Ressource (XIV, 422 p) txt rdacontent c rdamedia cr rdacarrier Mathematics and Its Applications 544 Infinitesimal analysis, once a synonym for calculus, is now viewed as a technique for studying the properties of an arbitrary mathematical object by discriminating between its standard and nonstandard constituents. Resurrected by A. Robinson in the early 1960's with the epithet 'nonstandard', infinitesimal analysis not only has revived the methods of infinitely small and infinitely large quantities, which go back to the very beginning of calculus, but also has suggested many powerful tools for research in every branch of modern mathematics. The book sets forth the basics of the theory, as well as the most recent applications in, for example, functional analysis, optimization, and harmonic analysis. The concentric style of exposition enables this work to serve as an elementary introduction to one of the most promising mathematical technologies, while revealing up-to-date methods of monadology and hyperapproximation. This is a companion volume to the earlier works on nonstandard methods of analysis by A.G. Kusraev and S.S. Kutateladze (1999), ISBN 0-7923-5921-6 and Nonstandard Analysis and Vector Lattices edited by S.S. Kutateladze (2000), ISBN 0-7923-6619-0 Mathematics Functional analysis Operator theory Logic, Symbolic and mathematical Functional Analysis Operator Theory Measure and Integration Mathematical Logic and Foundations Mathematik Infinitesimalanalysis (DE-588)4161657-1 gnd rswk-swf Infinitesimalanalysis (DE-588)4161657-1 s 1\p DE-604 Kusraev, A. G. Sonstige oth Kutateladze, S. S. Sonstige oth https://doi.org/10.1007/978-94-017-0063-4 Verlag Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Gordon, E. I. Infinitesimal Analysis Mathematics Functional analysis Operator theory Logic, Symbolic and mathematical Functional Analysis Operator Theory Measure and Integration Mathematical Logic and Foundations Mathematik Infinitesimalanalysis (DE-588)4161657-1 gnd |
| subject_GND | (DE-588)4161657-1 |
| title | Infinitesimal Analysis |
| title_auth | Infinitesimal Analysis |
| title_exact_search | Infinitesimal Analysis |
| title_full | Infinitesimal Analysis by E. I. Gordon, A. G. Kusraev, S. S. Kutateladze |
| title_fullStr | Infinitesimal Analysis by E. I. Gordon, A. G. Kusraev, S. S. Kutateladze |
| title_full_unstemmed | Infinitesimal Analysis by E. I. Gordon, A. G. Kusraev, S. S. Kutateladze |
| title_short | Infinitesimal Analysis |
| title_sort | infinitesimal analysis |
| topic | Mathematics Functional analysis Operator theory Logic, Symbolic and mathematical Functional Analysis Operator Theory Measure and Integration Mathematical Logic and Foundations Mathematik Infinitesimalanalysis (DE-588)4161657-1 gnd |
| topic_facet | Mathematics Functional analysis Operator theory Logic, Symbolic and mathematical Functional Analysis Operator Theory Measure and Integration Mathematical Logic and Foundations Mathematik Infinitesimalanalysis |
| url | https://doi.org/10.1007/978-94-017-0063-4 |
| work_keys_str_mv | AT gordonei infinitesimalanalysis AT kusraevag infinitesimalanalysis AT kutateladzess infinitesimalanalysis |