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Geometrical Dynamics of Complex Systems: A Unified Modelling Approach to Physics, Control, Biomechanics, Neurodynamics and Psycho-Socio-Economical Dynamics de Vladimir G. Ivancevic

Geometrical Dynamics of Complex Systems: A Unified Modelling Approach to Physics, Control, Biomechanics, Neurodynamics and Psycho-Socio-Economical Dynamics: Intelligent Systems, Control and Automation: Science and Engineering, cartea 31

Autor Vladimir G. Ivancevic, Tijana T. Ivancevic
en Limba Engleză Paperback – 23 aug 2016
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Proposes a unified geometrical approach to dynamics of complex systems of various kinds: engineering, physical, biophysical, psychophysical, sociophysical, econophysical, and more. This book aims to show that high-dimensional nonlinear systems in "real life" can be modeled and analyzed using rigorous mathematics.
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Specificații

ISBN-13: 9789401776493
ISBN-10: 9401776490
Pagini: 824
Ilustrații: XXIII, 824 p.
Dimensiuni: 155 x 235 mm
Greutate: 1.17 kg
Ediția:Softcover reprint of the original 1st ed. 2006
Editura: SPRINGER NETHERLANDS
Colecția Springer
Seria Intelligent Systems, Control and Automation: Science and Engineering

Locul publicării:Dordrecht, Netherlands

Cuprins

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.

Recenzii

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)

Caracteristici

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