Universal Mandelbrot Set The Beginning Of The Story is popular PDF and ePub book, written by Alexei Morozov in 2006-10-09, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, Universal Mandelbrot Set The Beginning Of The Story can be Read Online from any device for your convenience.
Universal Mandelbrot Set The Beginning Of The Story Book PDF Summary
This book is devoted to the structure of the Mandelbrot set — a remarkable and important feature of modern theoretical physics, related to chaos and fractals and simultaneously to analytical functions, Riemann surfaces, phase transitions and string theory. The Mandelbrot set is one of the bridges connecting the world of chaos and order.The authors restrict consideration to discrete dynamics of a single variable. This restriction preserves the most essential properties of the subject, but drastically simplifies computer simulations and the mathematical formalism.The coverage includes a basic description of the structure of the set of orbits and pre-orbits associated with any map of an analytic space into itself. A detailed study of the space of orbits (the algebraic Julia set) as a whole, together with related attributes, is provided. Also covered are: moduli space in the space of maps and the classification problem for analytic maps, the relation of the moduli space to the bifurcations (topology changes) of the set of orbits, a combinatorial description of the moduli space (Mandelbrot and secondary Mandelbrot sets) and the corresponding invariants (discriminants and resultants), and the construction of the universal discriminant of analytic functions in terms of series coefficients. The book concludes by solving the case of the quadratic map using the theory and methods discussed earlier.
Detail Book of Universal Mandelbrot Set The Beginning Of The Story PDF
- Author : Alexei Morozov
- Release : 09 October 2006
- Publisher : World Scientific
- ISBN : 9789814477758
- Genre : Mathematics
- Total Page : 176 pages
- Language : English
- PDF File Size : 10,7 Mb
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