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Title Algebraic theory of differential equations / edited by Malcolm A.H. MacCallum, Alexander V. Mikhailov
Published Cambridge, U.K. ; New York : Cambridge University Press, 2009

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Description 1 online resource (viii, 240 pages) : illustrations
Series London Mathematical Society lecture note series ; 357
London Mathematical Society lecture note series ; 357.
Contents Galois theory of linear differential equations / Michael F. Singer -- Solving in closed form / Felix Ulmer and Jacques-Arthur Weil -- Factorization of linear systems / Sergey P. Tsarev -- Introduction to D-modules / Anton Leykin -- Symbolic representation and classification of integrable systems / A.V. Mikhailov, V.S. Novikov and Jing Ping Wang -- Searching for integrable (P)DEs / Jarmo Hietarinta -- Around differential Galois theory / Anand Pillay
Summary 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
Bibliography Includes bibliographical references
Notes English
Print version record
Subject Differential equations -- Congresses
Algebraic number theory -- Congresses
Differential calculus -- Congresses
Differential algebra -- Congresses
MATHEMATICS -- Differential Equations -- General.
Algebraic number theory
Differential algebra
Differential calculus
Differential equations
Genre/Form Conference papers and proceedings
Form Electronic book
Author MacCallum, M. A. H
Mikhailov, Alexander V., 1953-
London Mathematical Society.
LC no. 2009277316
ISBN 9781107363052
1107363055
9780511893834
0511893833
1139886797
9781139886796
1107367964
9781107367968
1107372496
9781107372498
1107365503
9781107365506
0511721560
9780511721564