Algebraic theory of differential equations / edited by Malcolm A.H. MacCallum, Alexander V. Mikhailov.

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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 t...

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Bibliographic Details
Uniform Title:London Mathematical Society lecture note series ; 357.
Corporate Author: London Mathematical Society (Issuing body)
Other Authors: MacCallum, M. A. H. (Editor)
Mikhailov, Alexander V., 1953- (Editor)
Language:English
Published: Cambridge : Cambridge University Press, 2009.
Series:London Mathematical Society lecture note series ; 357.
Subjects:
Differential equations > Congresses.
Algebraic number theory > Congresses.
Differential calculus > Congresses.
Differential algebra > Congresses.
Genre:
Congresses.
Online Access:
Connect to online resource - MSU authorized users (Digital Object Identifier Permalink)
Physical Description:1 online resource (viii, 240 pages) : digital, PDF file(s).
Format: Electronic eBook
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.