
Algebraic Theory of Differential Equations
Cambridge University Press
Published on 4. December 2008
Book
Paperback/Softback
248 pages
978-0-521-72008-3 (ISBN)
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.
Reviews / Votes
'... 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.' MAA Reviews '... useful for graduate mathematicians working in differential systems and their invariants. The text covers a large area of research on relatively few pages and contains many examples.' EMS NewsletterMore details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
Worked examples or Exercises
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 14 mm
Weight
368 gr
ISBN-13
978-0-521-72008-3 (9780521720083)
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Schweitzer Classification
Other editions
Additional editions

Malcolm A. H. MacCallum | Alexander V. Mikhailov
Algebraic Theory of Differential Equations
E-Book
01/2011
1st Edition
Cambridge University Press
€60.49
Available for download
Persons
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.
Editor
Queen Mary University of London
University of Leeds
Content
Preface; 1. Galois theory of linear differential equations Michael F. Singer; 2. Solving in closed form Felix Ulmer and Jacques-Arthur Weil; 3. Factorization of linear systems Sergey P. Tsarev; 4. Introduction to D-modules Anton Leykin; 5. Symbolic representation and classification of integrable systems A. V. Mikhailov, V. S. Novikov and Jing Ping Wang; 6. Searching for integrable (P)DEs Jarmo Hietarinta; 7. Around differential Galois theory Anand Pillay.