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Geometric Methods in Modern Biomechanics
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Authors: Tijana T. Ivancevic (Tesla Science Evolution Institute, South Australia), Vladimir G. Ivancevic (Defense Science & Technology Organization, Australia), Bojan Jovanovic (Sports Academy, Serbia) 
Book Description:
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. (Imprint: Nova Biomedical)

Table of Contents:
Preface pp. i-xiv

1 Introduction, pp. 1-7

2 Geometrical Background: Manifolds and Tensors, pp. 9-53

3 Lie Groups and their Mechanical Applications, pp. 55-89

4 Basics of Nonlinear Dynamics and Chaos Theory, pp. 91-122

5 Basics of Riemannian and Symplectic Geometry, pp. 123-143

6 Basics of Lagrangian and Hamiltonian Mechanics, pp. 145-163

7 Geometrical Dynamics and Control of Human and Humanoid Motion, pp. 165-190

8 Medical Application 1: Prediction of Injuries, pp. 191-203

9 Medical Application 2: Electrical Muscular Stimulation, pp. 205-224

10 Control Strategies in Human Operator Modeling, pp. 225-262

11 Cerebellar Controller for Human Biomechanics, pp. 263-271

12 Biomechanical Bundles and Jets, pp. 273-284

13 Time–Dependent Lagrangian Biomechanics, pp. 285-291

14 Time–Dependent Hamiltonian Biomechanics, pp. 293-315

15 Hamiltonian vs. Lagrangian Time–Dependent Biomechanics, pp. 317-328

16 Ricci Flow and Nonlinear Reaction–Diffusion Systems, pp. 329-354

17 Brain Biomechanics in the Life Space Foam, pp. 355-381

18 Appendix, pp. 383-437

Index pp. 439-437

   Series:
      Biomechanics - Theory and Applications
      Mathematics Research Developments
   Binding: Hardcover
   Pub. Date: 2012
   Pages: 451, 7 x 10 (NBC - C)
   ISBN: 978-1-61942-303-9
   Status: AV
  
Status Code Description
AN Announcing
FM Formatting
PP Page Proofs
FP Final Production
EP Editorial Production
PR At Prepress
AP At Press
AV Available
  
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Geometric Methods in Modern Biomechanics