This graduate-level monographic textbook treats applied differential geometry from a modern scientific perspective. Co-authored by the originator of the world's leading human motion simulator - "Human Biodynamics Engine", a complex, 264-DOF bio-mechanical system, modeled by differential-geometric tools - this is the first book that combines modern differential geometry with a wide spectrum of applications, from modern mechanics and physics, via nonlinear control, to biology and human sciences. The book is designed for a two-semester course, which gives mathematicians a variety of applications for their theory and physicists, as well as other scientists and engineers, a strong theory underlying their models.
Technical Preliminaries: Tensors, Actions and Functors; Applied Manifold Geometry; Applied Bundle Geometry; Applied Jet Geometry; Geometrical Path Integrals and Their Applications.
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- ID: 9789812706140
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