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Differential Galois Theory and Non-Integrability of Hamiltonian Systems (Progress in...
Product Review .,."[an] account of recent work of the author and co-workers on obstructions to the complete integrability of complex Hamiltonian systems. The methods are of considerable importance to practitioners The book provides all the needed backgroundand presents concrete examples in considerable detail The final chapterincludes a fascinating account of work-in-progress by the author and his collaborators Of particular interestis the program of extending the differential Galois theory to higher-order variational equations [an] great introduction to non-integrability methods in Hamiltonian mechanics [that] brings the reader to the forefront of research in the area. The inclusion of a large number of worked-out examples, many of wide applied interest, is commendable. There are many historical references, and an extensive bibliography." Reader Reviews
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