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This book is a gentle introduction to the subject of Painlev equations. It is intended to serve as an introduction to the subject for readers with basic familiarity with calculus, linear algebra, and group theory, which means it is well suited for an undergraduate course. The fo…
Introduction Boundary trajectories Differential inclusions The calculus of variations Optimal control of vector fields The Hamiltonian inclusion Bibliography Index.
Numerical methods that preserve properties of Hamiltonian systems, reversible systems, differential equations on manifolds and problems with highly oscillatory solutions are the subject of this book. A complete self-contained theory of symplectic and symmetric methods, which inc…
