Algebraic Theory of Differential Equationsby Malcolm A. H. MacCallum
Pub. Date: 12/31/2008
Publisher: Cambridge University Press
A unique introduction to the subject, reflecting different approaches to the integration of differential equations. See more details below
A unique introduction to the subject, reflecting different approaches to the integration of differential equations.
Table of Contents
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.
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