Algebraic Theory of Differential Equations

By addebook • Apr 22nd, 2009 • Category: Mathematics

Algebraic Theory of Differential Equations (London Mathematical Society Lecture Note Series)
by: Malcolm A. H. MacCallum, Alexander V. Mikhailov

Algebraic Theory of Differential Equations (London Mathematical Society Lecture Note Series)
By Malcolm A. H. MacCallum, Alexander V. Mikhailov (eds.)

Publisher: Cambridge University Press
Number Of Pages: 248
Publication Date: 2009-01-05
ISBN-10 / ASIN: 0521720087
ISBN-13 / EAN: 9780521720083

Product Description:

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-program held at the International Centre for Mathematical Sciences (ICMS) in Edinburgh.

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