Nonlinear Symmetries and Nonlinear Equations:
Gespeichert in:
| Beteilige Person: | |
|---|---|
| Format: | Elektronisch E-Book |
| Sprache: | Englisch |
| Veröffentlicht: |
Dordrecht
Springer Netherlands
1994
|
| Schriftenreihe: | Mathematics and Its Applications
299 |
| Schlagwörter: | |
| Links: | https://doi.org/10.1007/978-94-011-1018-1 |
| Beschreibung: | The study of (nonlinear) dift"erential equations was S. Lie's motivation when he created what is now known as Lie groups and Lie algebras; nevertheless, although Lie group and algebra theory flourished and was applied to a number of different physical situations -up to the point that a lot, if not most, of current fundamental elementary particles physics is actually (physical interpretation of) group theory -the application of symmetry methods to differential equations remained a sleeping beauty for many, many years. The main reason for this lies probably in a fact that is quite clear to any beginner in the field. Namely, the formidable comple:rity ofthe (algebraic, not numerical!) computations involved in Lie method. I think this does not account completely for this oblivion: in other fields of Physics very hard analytical computations have been worked through; anyway, one easily understands that systems of dOlens of coupled PDEs do not seem very attractive, nor a very practical computational tool |
| Umfang: | 1 Online-Ressource (XIX, 258 p) |
| ISBN: | 9789401110181 9789401044431 |
| DOI: | 10.1007/978-94-011-1018-1 |
Internformat
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| 490 | 1 | |a Mathematics and Its Applications |v 299 | |
| 500 | |a The study of (nonlinear) dift"erential equations was S. Lie's motivation when he created what is now known as Lie groups and Lie algebras; nevertheless, although Lie group and algebra theory flourished and was applied to a number of different physical situations -up to the point that a lot, if not most, of current fundamental elementary particles physics is actually (physical interpretation of) group theory -the application of symmetry methods to differential equations remained a sleeping beauty for many, many years. The main reason for this lies probably in a fact that is quite clear to any beginner in the field. Namely, the formidable comple:rity ofthe (algebraic, not numerical!) computations involved in Lie method. I think this does not account completely for this oblivion: in other fields of Physics very hard analytical computations have been worked through; anyway, one easily understands that systems of dOlens of coupled PDEs do not seem very attractive, nor a very practical computational tool | ||
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| 650 | 4 | |a Partial Differential Equations | |
| 650 | 4 | |a Theoretical, Mathematical and Computational Physics | |
| 650 | 4 | |a Mathematik | |
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Datensatz im Suchindex
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| _version_ | 1821931368229109760 |
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| author | Gaeta, Giuseppe |
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| dewey-full | 515.352 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
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| dewey-sort | 3515.352 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-94-011-1018-1 |
| format | Electronic eBook |
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| id | DE-604.BV042423836 |
| illustrated | Not Illustrated |
| indexdate | 2024-12-20T17:10:49Z |
| institution | BVB |
| isbn | 9789401110181 9789401044431 |
| language | English |
| oai_aleph_id | oai:aleph.bib-bvb.de:BVB01-027859253 |
| oclc_num | 1184339348 |
| open_access_boolean | |
| owner | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| owner_facet | DE-384 DE-703 DE-91 DE-BY-TUM DE-634 |
| physical | 1 Online-Ressource (XIX, 258 p) |
| psigel | ZDB-2-SMA ZDB-2-BAE ZDB-2-SMA_Archive |
| publishDate | 1994 |
| publishDateSearch | 1994 |
| publishDateSort | 1994 |
| publisher | Springer Netherlands |
| record_format | marc |
| series | Mathematics and Its Applications |
| series2 | Mathematics and Its Applications |
| spellingShingle | Gaeta, Giuseppe Nonlinear Symmetries and Nonlinear Equations Mathematics and Its Applications Mathematics Differential Equations Differential equations, partial Ordinary Differential Equations Partial Differential Equations Theoretical, Mathematical and Computational Physics Mathematik Nichtlineare algebraische Gleichung (DE-588)4298314-9 gnd Symmetrie (DE-588)4058724-1 gnd Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd |
| subject_GND | (DE-588)4298314-9 (DE-588)4058724-1 (DE-588)4205536-2 |
| title | Nonlinear Symmetries and Nonlinear Equations |
| title_auth | Nonlinear Symmetries and Nonlinear Equations |
| title_exact_search | Nonlinear Symmetries and Nonlinear Equations |
| title_full | Nonlinear Symmetries and Nonlinear Equations by Giuseppe Gaeta |
| title_fullStr | Nonlinear Symmetries and Nonlinear Equations by Giuseppe Gaeta |
| title_full_unstemmed | Nonlinear Symmetries and Nonlinear Equations by Giuseppe Gaeta |
| title_short | Nonlinear Symmetries and Nonlinear Equations |
| title_sort | nonlinear symmetries and nonlinear equations |
| topic | Mathematics Differential Equations Differential equations, partial Ordinary Differential Equations Partial Differential Equations Theoretical, Mathematical and Computational Physics Mathematik Nichtlineare algebraische Gleichung (DE-588)4298314-9 gnd Symmetrie (DE-588)4058724-1 gnd Nichtlineare Differentialgleichung (DE-588)4205536-2 gnd |
| topic_facet | Mathematics Differential Equations Differential equations, partial Ordinary Differential Equations Partial Differential Equations Theoretical, Mathematical and Computational Physics Mathematik Nichtlineare algebraische Gleichung Symmetrie Nichtlineare Differentialgleichung |
| url | https://doi.org/10.1007/978-94-011-1018-1 |
| volume_link | (DE-604)BV008163334 |
| work_keys_str_mv | AT gaetagiuseppe nonlinearsymmetriesandnonlinearequations |