Algebraic Theory of Differential Equations
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Algebraic Theory of Differential Equations by Malcolm A. H. MacCallum
Book DescriptionIntegration 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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Book DetailsISBN: 9780521720083
(228mm x 152mm x 13mm)
Imprint: Cambridge University Press
Publisher: Cambridge University Press
Publish Date: 4-Dec-2008
Country of Publication: United Kingdom
Books By Author Malcolm A. H. MacCallum
Relativistic Cosmology, Hardback (March 2012)
Surveying key developments and open issues in cosmology for graduate students and researchers.
Algebraic Computing with REDUCE, Paperback (August 1991)» View all books by Malcolm A. H. MacCallum
REDUCE is a simple computer algebra system which enables users to manipulate complex algebraic expressions and equations symbolically. Its capabilities include differentiation and exact symbolic integration. This book provides a comprehensive introduction to REDUCE, including some user-contributed REDUCE packages written for specific applications.
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Author Biography - Malcolm A. H. MacCallum
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.
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