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Mathematics Complex Dynamics: Advanced System Dynamics in Complex Variables (Intelligent Systems, Control and Automation: Science and Engineering)

Posted on 2010-04-13




Name:Mathematics Complex Dynamics: Advanced System Dynamics in Complex Variables (Intelligent Systems, Control and Automation: Science and Engineering)
ASIN/ISBN:140206411X
Author:Tijana T. Ivancevic, Vladimir G. Ivancevic
Publisher:Springer (2007)
Language:English
Pages:Hardcover, 810 pages
File size:17.4 Mb
   Mathematics Complex Dynamics: Advanced System Dynamics in Complex Variables (Intelligent Systems, Control and Automation: Science and Engineering)


Author: Tijana T. Ivancevic, Vladimir G. Ivancevic


Publisher: Springer (2007)


Binding: Hardcover, 810 pages


pricer: $199.00


ISBN-10: 140206411X


editorialreviews

Complex Dynamics: Advanced System Dynamics in Complex Variables is a graduate-level monographic textbook. It has seven Chapters. The introductory Chapter 1 explains in plain English the objective of the book and provides the preliminaries in complex numbers and variables; it also gives a soft introduction to quantum dynamics. Chapter 2 develops low-dimensional dynamics in the complex plane, theoretical and computational, continuous- and discrete-time. Chapter 3 presents a modern introduction to quantum dynamics, mainly following Dirac's notation. Chapter 4 develops geometrical machinery of complex manifolds, essential for the further text. Chapter 5 develops high-dimensional complex continuous dynamics, which takes place on complex manifolds. Chapter 6 develops the formalism of complex path integrals, which extends the continuous dynamics to the general high-dimensional dynamics, which can be both discrete and stochastic. In the last, Chapter 7, all previously developed methods are employed to present the Holy Grail of modern physical and cosmological science, the search for the theory of everything and the true cosmological dynamics.




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