Mathematical Structures of Nonlinear Science: An Introduction
Gespeichert in:
| 1. Verfasser: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | English |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1990
|
| Schriftenreihe: | Nonlinear Topics in the Mathematical Sciences, An International Book Series dealing with Past, Current and Future Advances and Developments in the Mathematics of Nonlinear Science
1 |
| Schlagworte: | |
| Online-Zugang: | Volltext |
| Beschreibung: | This is the first volume of a series of books that will describe current advances and past accompli shments of mathemat i ca 1 aspects of nonlinear sCience taken in the broadest contexts. This subject has been studied for hundreds of years, yet it is the topic in whi ch a number of outstandi ng di scoveri es have been made in the past two decades. Clearly, this trend will continue. In fact, we believe some of the great scientific problems in this area will be clarified and perhaps resolved. One of the reasons for this development is the emerging new mathematical ideas of nonlinear science. It is clear that by looking at the mathematical structures themselves that underlie experiment and observation that new vistas of conceptual thinking lie at the foundation of the unexplored area in this field. To speak of specific examples, one notes that the whole area of bifurcation was rarely talked about in the early parts of this century, even though it was discussed mathematically by Poi ncare at the end of the ni neteenth century. I n another di rect ion, turbulence has been a key observation in fluid dynamics, yet it was only recently, in the past decade, that simple computer studies brought to light simple dynamical models in which chaotic dynamics, hopefully closely related to turbulence, can be observed |
| Beschreibung: | 1 Online-Ressource (430p) |
| ISBN: | 9789400905795 9789401067485 |
| ISSN: | 0925-6660 |
| DOI: | 10.1007/978-94-009-0579-5 |
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Datensatz im Suchindex
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| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515 |
| dewey-search | 515 |
| dewey-sort | 3515 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-009-0579-5 |
| format | Electronic eBook |
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| spelling | Berger, Melvyn S. Verfasser aut Mathematical Structures of Nonlinear Science An Introduction by Melvyn S. Berger Dordrecht Springer Netherlands 1990 1 Online-Ressource (430p) txt rdacontent c rdamedia cr rdacarrier Nonlinear Topics in the Mathematical Sciences, An International Book Series dealing with Past, Current and Future Advances and Developments in the Mathematics of Nonlinear Science 1 0925-6660 This is the first volume of a series of books that will describe current advances and past accompli shments of mathemat i ca 1 aspects of nonlinear sCience taken in the broadest contexts. This subject has been studied for hundreds of years, yet it is the topic in whi ch a number of outstandi ng di scoveri es have been made in the past two decades. Clearly, this trend will continue. In fact, we believe some of the great scientific problems in this area will be clarified and perhaps resolved. One of the reasons for this development is the emerging new mathematical ideas of nonlinear science. It is clear that by looking at the mathematical structures themselves that underlie experiment and observation that new vistas of conceptual thinking lie at the foundation of the unexplored area in this field. To speak of specific examples, one notes that the whole area of bifurcation was rarely talked about in the early parts of this century, even though it was discussed mathematically by Poi ncare at the end of the ni neteenth century. I n another di rect ion, turbulence has been a key observation in fluid dynamics, yet it was only recently, in the past decade, that simple computer studies brought to light simple dynamical models in which chaotic dynamics, hopefully closely related to turbulence, can be observed Mathematics Global analysis (Mathematics) Geometry Analysis Classical Continuum Physics Condensed Matter Physics Mathematik Mathematische Methode (DE-588)4155620-3 gnd rswk-swf Nichtlineares System (DE-588)4042110-7 gnd rswk-swf Nichtlineare Theorie (DE-588)4251279-7 gnd rswk-swf Nichtlineares mathematisches Modell (DE-588)4127859-8 gnd rswk-swf Mathematik (DE-588)4037944-9 gnd rswk-swf Nichtlineare Analysis (DE-588)4177490-5 gnd rswk-swf Nichtlineares System (DE-588)4042110-7 s Nichtlineares mathematisches Modell (DE-588)4127859-8 s 1\p DE-604 Mathematik (DE-588)4037944-9 s 2\p DE-604 Nichtlineare Analysis (DE-588)4177490-5 s 3\p DE-604 Mathematische Methode (DE-588)4155620-3 s 4\p DE-604 Nichtlineare Theorie (DE-588)4251279-7 s 5\p DE-604 https://doi.org/10.1007/978-94-009-0579-5 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 4\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk 5\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Berger, Melvyn S. Mathematical Structures of Nonlinear Science An Introduction Mathematics Global analysis (Mathematics) Geometry Analysis Classical Continuum Physics Condensed Matter Physics Mathematik Mathematische Methode (DE-588)4155620-3 gnd Nichtlineares System (DE-588)4042110-7 gnd Nichtlineare Theorie (DE-588)4251279-7 gnd Nichtlineares mathematisches Modell (DE-588)4127859-8 gnd Mathematik (DE-588)4037944-9 gnd Nichtlineare Analysis (DE-588)4177490-5 gnd |
| subject_GND | (DE-588)4155620-3 (DE-588)4042110-7 (DE-588)4251279-7 (DE-588)4127859-8 (DE-588)4037944-9 (DE-588)4177490-5 |
| title | Mathematical Structures of Nonlinear Science An Introduction |
| title_auth | Mathematical Structures of Nonlinear Science An Introduction |
| title_exact_search | Mathematical Structures of Nonlinear Science An Introduction |
| title_full | Mathematical Structures of Nonlinear Science An Introduction by Melvyn S. Berger |
| title_fullStr | Mathematical Structures of Nonlinear Science An Introduction by Melvyn S. Berger |
| title_full_unstemmed | Mathematical Structures of Nonlinear Science An Introduction by Melvyn S. Berger |
| title_short | Mathematical Structures of Nonlinear Science |
| title_sort | mathematical structures of nonlinear science an introduction |
| title_sub | An Introduction |
| topic | Mathematics Global analysis (Mathematics) Geometry Analysis Classical Continuum Physics Condensed Matter Physics Mathematik Mathematische Methode (DE-588)4155620-3 gnd Nichtlineares System (DE-588)4042110-7 gnd Nichtlineare Theorie (DE-588)4251279-7 gnd Nichtlineares mathematisches Modell (DE-588)4127859-8 gnd Mathematik (DE-588)4037944-9 gnd Nichtlineare Analysis (DE-588)4177490-5 gnd |
| topic_facet | Mathematics Global analysis (Mathematics) Geometry Analysis Classical Continuum Physics Condensed Matter Physics Mathematik Mathematische Methode Nichtlineares System Nichtlineare Theorie Nichtlineares mathematisches Modell Nichtlineare Analysis |
| url | https://doi.org/10.1007/978-94-009-0579-5 |
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