This book gives a comprehensive introduction into geometrical methods of modern biomechanics. This book is designed for a rigorous, one--semester course at the graduate level. The intended audience includes mechanical, control and biomedical engineers (with stronger mathematical background), mathematicians, physicists, computer scientists and mathematical biologists, as well as all researchers and technical professionals interested in modelling and control of biomechanical systems and humanoid robots.
Preface; Introduction; Geometrical Background:: Manifolds & Tensors; Lie Groups & their Mechanical Applications; Basics of Nonlinear Dynamics & Chaos Theory; Basics of Riemannian & Symplectic Geometry; Basics of Lagrangian & Hamiltonian Mechanics; Geometrical Dynamics & Control of Human & Humanoid Motion; Medical Application 1:: Prediction of Injuries; Medical Application 2:: Electrical Muscular Stimulation; Control Strategies in Human Operator Modeling; Cerebellar Controller for Human Biomechanics; Biomechanical Bundles & Jets; Time-Dependent Lagrangian Biomechanics; Time-Dependent Hamiltonian Biomechanics.
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