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Algebraic Theory of Differential Equations

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

Author Biography:

Malcolm A. H. MacCallum is Professor of Applied Mathematics at Queen Mary, University of London. Alexander V. Mikhailov is Professor of Mathematical Physics at the University of Leeds.
Release date NZ
December 4th, 2008
Audience
  • Professional & Vocational
Contributors
  • Edited by Alexander V. Mikhailov
  • Edited by Malcolm a H MacCallum
Illustrations
Worked examples or Exercises
Pages
248
Dimensions
152x228x13
ISBN-13
9780521720083
Product ID
3638440

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