Applied differential geometry : a modern introduction
著者
書誌事項
Applied differential geometry : a modern introduction
World Scientific, c2007
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
- 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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