Geometrical Dynamics of Complex Systems
Autor Vladimir G. Ivancevic, Tijana T. Ivancevicen Limba Engleză Hardback – 18 ian 2006
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Specificații
ISBN-13: 9781402045448
ISBN-10: 1402045441
Pagini: 852
Ilustrații: XXIII, 824 p.
Dimensiuni: 160 x 241 x 50 mm
Greutate: 1.43 kg
Ediția:2006
Editura: Springer
Locul publicării:Dordrecht, Netherlands
ISBN-10: 1402045441
Pagini: 852
Ilustrații: XXIII, 824 p.
Dimensiuni: 160 x 241 x 50 mm
Greutate: 1.43 kg
Ediția:2006
Editura: Springer
Locul publicării:Dordrecht, Netherlands
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Public țintă
ResearchCuprins
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.
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)
"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