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Noncommutative Mathematics of Lagrangian, Hamiltonian, and Integrable Systems
Inbunden, Engelska, 2000
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This book develops a theory that can be viewed as a noncommutative counterpart of the following topics: dynamical systems in general and integrable systems in particular; Hamiltonian formalism; variational calculus, both in continuous space and discrete. The text is self-contained and includes a large number of exercises. Many different specific models are analyzed extensively and motivations for the new notions are provided in this book.