Algebraic theory of differential equations:
Integration of differential equations is a central problem in mathematics and several approaches have been developed by studying analytic, algebraic, and algorithmic aspects of the subject. One of these is Differential Galois Theory, developed by Kolchin and his school, and another originates from t...
Gespeichert in:
| Weitere Verfasser: | , |
|---|---|
| Format: | Elektronisch Tagungsbericht E-Book |
| Sprache: | English |
| Veröffentlicht: |
Cambridge
Cambridge University Press
2009
|
| Schriftenreihe: | London Mathematical Society lecture note series
357 |
| Schlagworte: | |
| Online-Zugang: | BSB01 FHN01 Volltext |
| Zusammenfassung: | Integration of differential equations is a central problem in mathematics and several approaches have been developed by studying analytic, algebraic, and algorithmic aspects of the subject. One of these is Differential Galois Theory, developed by Kolchin and his school, and another originates from the Soliton Theory and Inverse Spectral Transform method, which was born in the works of Kruskal, Zabusky, Gardner, Green and Miura. Many other approaches have also been developed, but there has so far been no intersection between them. This unique introduction to the subject finally brings them together, with the aim of initiating interaction and collaboration between these various mathematical communities. The collection includes a LMS Invited Lecture Course by Michael F. Singer, together with some shorter lecture courses and review articles, all based upon a mini-programme held at the International Centre for Mathematical Sciences (ICMS) in Edinburgh |
| Beschreibung: | Title from publisher's bibliographic system (viewed on 05 Oct 2015) |
| Beschreibung: | 1 online resource (viii, 240 pages) |
| ISBN: | 9780511721564 |
| DOI: | 10.1017/CBO9780511721564 |
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| 505 | 8 | |a Galois theory of linear differential equations / Michael F. Singer -- Solving in closed form / Felix Ulmer and Jacques-Arthur Weil -- Factorization of linear systems / Sergey P. Tsarev -- Introduction to D-modules / Anton Leykin -- Symbolic representation and classification of integrable systems / A.V. Mikhailov, V.S. Novikov and Jing Ping Wang -- Searching for integrable (P)DEs / Jarmo Hietarinta -- Around differential Galois theory / Anand Pillay | |
| 520 | |a Integration of differential equations is a central problem in mathematics and several approaches have been developed by studying analytic, algebraic, and algorithmic aspects of the subject. One of these is Differential Galois Theory, developed by Kolchin and his school, and another originates from the Soliton Theory and Inverse Spectral Transform method, which was born in the works of Kruskal, Zabusky, Gardner, Green and Miura. Many other approaches have also been developed, but there has so far been no intersection between them. This unique introduction to the subject finally brings them together, with the aim of initiating interaction and collaboration between these various mathematical communities. The collection includes a LMS Invited Lecture Course by Michael F. Singer, together with some shorter lecture courses and review articles, all based upon a mini-programme held at the International Centre for Mathematical Sciences (ICMS) in Edinburgh | ||
| 650 | 4 | |a Differential equations / Congresses | |
| 650 | 4 | |a Algebraic number theory / Congresses | |
| 650 | 4 | |a Differential calculus / Congresses | |
| 650 | 4 | |a Differential algebra / Congresses | |
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Datensatz im Suchindex
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| author2 | MacCallum, M. A. H. Mikhailov, Alexander V. 1953- |
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| author2_variant | m a h m mah mahm a v m av avm |
| author_facet | MacCallum, M. A. H. Mikhailov, Alexander V. 1953- |
| building | Verbundindex |
| bvnumber | BV043941444 |
| classification_rvk | SI 320 SK 520 |
| collection | ZDB-20-CBO |
| contents | Galois theory of linear differential equations / Michael F. Singer -- Solving in closed form / Felix Ulmer and Jacques-Arthur Weil -- Factorization of linear systems / Sergey P. Tsarev -- Introduction to D-modules / Anton Leykin -- Symbolic representation and classification of integrable systems / A.V. Mikhailov, V.S. Novikov and Jing Ping Wang -- Searching for integrable (P)DEs / Jarmo Hietarinta -- Around differential Galois theory / Anand Pillay |
| ctrlnum | (ZDB-20-CBO)CR9780511721564 (OCoLC)851021056 (DE-599)BVBBV043941444 |
| dewey-full | 515.35 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.35 |
| dewey-search | 515.35 |
| dewey-sort | 3515.35 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1017/CBO9780511721564 |
| format | Electronic Conference Proceeding eBook |
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| indexdate | 2024-07-10T07:39:15Z |
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| isbn | 9780511721564 |
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| spelling | Algebraic theory of differential equations edited by Malcolm A.H. MacCallum, Alexander V. Mikhailov Cambridge Cambridge University Press 2009 1 online resource (viii, 240 pages) txt rdacontent c rdamedia cr rdacarrier London Mathematical Society lecture note series 357 Title from publisher's bibliographic system (viewed on 05 Oct 2015) Galois theory of linear differential equations / Michael F. Singer -- Solving in closed form / Felix Ulmer and Jacques-Arthur Weil -- Factorization of linear systems / Sergey P. Tsarev -- Introduction to D-modules / Anton Leykin -- Symbolic representation and classification of integrable systems / A.V. Mikhailov, V.S. Novikov and Jing Ping Wang -- Searching for integrable (P)DEs / Jarmo Hietarinta -- Around differential Galois theory / Anand Pillay Integration of differential equations is a central problem in mathematics and several approaches have been developed by studying analytic, algebraic, and algorithmic aspects of the subject. One of these is Differential Galois Theory, developed by Kolchin and his school, and another originates from the Soliton Theory and Inverse Spectral Transform method, which was born in the works of Kruskal, Zabusky, Gardner, Green and Miura. Many other approaches have also been developed, but there has so far been no intersection between them. This unique introduction to the subject finally brings them together, with the aim of initiating interaction and collaboration between these various mathematical communities. The collection includes a LMS Invited Lecture Course by Michael F. Singer, together with some shorter lecture courses and review articles, all based upon a mini-programme held at the International Centre for Mathematical Sciences (ICMS) in Edinburgh Differential equations / Congresses Algebraic number theory / Congresses Differential calculus / Congresses Differential algebra / Congresses Differentialgleichung (DE-588)4012249-9 gnd rswk-swf Algebraische Zahlentheorie (DE-588)4001170-7 gnd rswk-swf (DE-588)1071861417 Konferenzschrift gnd-content Differentialgleichung (DE-588)4012249-9 s Algebraische Zahlentheorie (DE-588)4001170-7 s 1\p DE-604 MacCallum, M. A. H. edt Mikhailov, Alexander V. 1953- edt London Mathematical Society issuing body Sonstige oth Erscheint auch als Druckausgabe 978-0-521-72008-3 https://doi.org/10.1017/CBO9780511721564 Verlag URL des Erstveröffentlichers Volltext 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk |
| spellingShingle | Algebraic theory of differential equations Galois theory of linear differential equations / Michael F. Singer -- Solving in closed form / Felix Ulmer and Jacques-Arthur Weil -- Factorization of linear systems / Sergey P. Tsarev -- Introduction to D-modules / Anton Leykin -- Symbolic representation and classification of integrable systems / A.V. Mikhailov, V.S. Novikov and Jing Ping Wang -- Searching for integrable (P)DEs / Jarmo Hietarinta -- Around differential Galois theory / Anand Pillay Differential equations / Congresses Algebraic number theory / Congresses Differential calculus / Congresses Differential algebra / Congresses Differentialgleichung (DE-588)4012249-9 gnd Algebraische Zahlentheorie (DE-588)4001170-7 gnd |
| subject_GND | (DE-588)4012249-9 (DE-588)4001170-7 (DE-588)1071861417 |
| title | Algebraic theory of differential equations |
| title_auth | Algebraic theory of differential equations |
| title_exact_search | Algebraic theory of differential equations |
| title_full | Algebraic theory of differential equations edited by Malcolm A.H. MacCallum, Alexander V. Mikhailov |
| title_fullStr | Algebraic theory of differential equations edited by Malcolm A.H. MacCallum, Alexander V. Mikhailov |
| title_full_unstemmed | Algebraic theory of differential equations edited by Malcolm A.H. MacCallum, Alexander V. Mikhailov |
| title_short | Algebraic theory of differential equations |
| title_sort | algebraic theory of differential equations |
| topic | Differential equations / Congresses Algebraic number theory / Congresses Differential calculus / Congresses Differential algebra / Congresses Differentialgleichung (DE-588)4012249-9 gnd Algebraische Zahlentheorie (DE-588)4001170-7 gnd |
| topic_facet | Differential equations / Congresses Algebraic number theory / Congresses Differential calculus / Congresses Differential algebra / Congresses Differentialgleichung Algebraische Zahlentheorie Konferenzschrift |
| url | https://doi.org/10.1017/CBO9780511721564 |
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