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.

'… 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

• 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.

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.

'… 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

• 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.

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.

'… 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

• 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.