Algebraic Theory of Differential Equations by Malcolm A. H. MacCallum (PDF)

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.

User’s Reviews

Product description Review “… A useful book that serves as an introduction to both the Galois theory of (linear) differential equations and several other algebraic approaches to such equations. Libraries will definitely want to have a copy.” Fernando Q. Gouvea, MAA Reviews Book Description A unique introduction to the subject, reflecting different approaches to the integration of differential equations. About the Author 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. Read more

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