Algebraic Theory of Differential Equations / Edited by Malcolm A. H. MacCallum, Alexander V. Mikhailov.

Contributor(s): MacCallum, Malcolm A. H [editor of compilation.] | Mikhailov, Alexander V [editor of compilation.]Material type: TextTextSeries: London Mathematical Society Lecture Note Series ; no. 357Publisher: Cambridge : Cambridge University Press, 2008Description: 1 online resource (248 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511721564 (ebook)Additional physical formats: Print version: : No titleDDC classification: 515.35 Online resources: Click here to access online Summary: 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.
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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.

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