From the contents
Modern Geometrical Machinery.- Introduction.- Smooth Manifolds.- Fibre Bundles.- Jet Spaces.- Path Integrals: Extending Smooth Geometrical Machinery.- Dynamics of High -Dimensional Nonlinear Systems.- Mechanical Systems. Physical Field Systems.- Nonlinear Control Systems.- Human - Like Biomechanics.- Neurodynamics.- Psycho -Socio - Economic Dynamics.- Appendix: Tensors and Functors.- Elements of Classical Tensor Analysis.- Categories and Functors.- References.- Index.
From the reviews:
As it is mentioned in the preface this is a graduate-level monographical textbook. It represents a comprehensive introduction into rigorous geometrical dynamics of complex systems of various natures. & This book has to be recommended for graduates in applied mathematics who are interested in basics of modern mathematical methods mostly based on geometry. (Iskander A. Taimanov, Zentralblatt MATH, Vol. 1092 (18), 2006)
Unified to complex systems of various natures Design of hyper-complex robots of the future Predictive power of geometry and topology in real life Path integrals in biophysics, psychophysics, sociophysics and econophysics
![Geometrical Dynamics of Complex Systems: A Unified Modelling Approach to Physics, Control, Biomechanics, Neurodynamics and Psycho-Socio-Economical Dyn [Paperback]](/itemImage/2/7/8/5/2_5291385.jpg "Geometrical Dynamics of Complex Systems: A Unified Modelling Approach to Physics, Control, Biomechanics, Neurodynamics and Psycho-Socio-Economical Dyn [Paperback]")