Description

Book Synopsis
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.

Table of Contents
Technical Preliminaries: Tensors, Actions and Functors; Applied Manifold Geometry; Applied Bundle Geometry; Applied Jet Geometry; Geometrical Path Integrals and Their Applications.

Applied Differential Geometry: A Modern

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    £382.50

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    A Hardback by Vladimir G Ivancevic, Tijana T Ivancevic

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      Publisher: World Scientific Publishing Co Pte Ltd
      Publication Date: Publication Date: 22/05/2007
      ISBN13: 9789812706140, 978-9812706140
      ISBN10: 9812706143

      Description

      Book Synopsis
      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.

      Table of Contents
      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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