Differential Galois Theory and Non-Integrability of Hamiltonian Systems

This monograph is devoted to the relation between two different concepts of integrability leading to algebraic non-integrability criteria for Hamiltonian system... » 

This monograph is devoted to the relation between two different concepts of integrability leading to algebraic non-integrability criteria for Hamiltonian systems. These criteria can be considered generalizations of classical non-integrability results by Poincare and Liapunov. «