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Physical laws are for the most part expressed in terms of differential equations, and natural classes of these are in the form of conservation laws or of problems of the calculus of variations for an action functional. These problems can generally be posed as Hamiltonian systems, whether dynamical systems on finite dimensional phase space as in classical mechanics, or partial differential equations (PDE) which are naturally of infinitely many degrees of freedom. This volume is the collected and extended notes from the lectures on Hamiltonian dynamical systems and their applications that...

This volume is the collected and extended notes from the lectures on Hamiltonian dynamical systems and their applications that were given at the NATO Advanced Study Institute in Montreal in 2007. Many aspects of the modern theory of the subject were covered at this event, including low dimensional problems. Applications are also presented to several important areas of research, including problems in classical mechanics, continuum mechanics, and partial differential equations.

The role of therapy in schools is a topic that has been significantly under-researched and often overlooked. Considering the number of students in full-time education with serious emotional and behavioural difficulties, the skills and tricks used by therapists can be usefully passed on to teachers in the classroom.

This book traces a substantial four-year project that applied the principles of therapeutic education in one school setting and exposed how current educational contexts actually contribute to disaffection and disruption of young people's learning.

The authors...