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Book Title : [size=20pt]Complex Dynamics: Advanced System Dynamics in Complex Variables[/size]

Complex Dynamics: Advanced System Dynamics in Complex Variables is a graduatelevel 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 lowdimensional dynamics in the complex plane, theoretical and computational, continuous and discretetime. 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 highdimensional 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 highdimensional 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.
Author(s) :Vladimir G. Ivancevic (2009)
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