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APPLIED DIFFERENTIAL GEOMETRY
A Modern Introduction
by Vladimir G Ivancevic (Defence Science and Technology Organisation, Australia) & Tijana T Ivancevic (The University of Adelaide, Australia)
Table of Contents (348k)
Preface (118k)
Chapter 1: Introduction (671k)
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.
Contents:
- Technical Preliminaries: Tensors, Actions and Functors
- Applied
Manifold Geometry
- Applied Bundle Geometry
- Applied Jet Geometry
- Geometrical Path Integrals and Their Applications
Readership: Researchers and graduates in pure and applied mathematics, and
mathematical physics.
| 1348pp |
Pub. date: May 2007 |
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