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 ...
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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.
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Very Good. Published Without Dust Jacket. 8vo-over 7¾"-9¾" tall. 162 pp. Tightly bound. Corners not bumped. Text is free of markings. No ownership markings.
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Near Fine. No Jacket as Issued. World Scientific Publishing Company, 2006. Book. Near Fine. Hardcover. Clean tight pages. Covers with very slight shelfwear..
Add this copy of Universal Mandelbrot Set, the: Beginning of the Story to cart. $53.54, good condition, Sold by Bonita rated 4.0 out of 5 stars, ships from Santa Clarita, CA, UNITED STATES, published 2006 by World Scientific Publishing Co.
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Add this copy of The Universal Mandelbrot Set Beginning of the Story to cart. $83.12, new condition, Sold by discount_scientific_books rated 5.0 out of 5 stars, ships from Sterling Heights, MI, UNITED STATES, published 2006 by World Scientific Publishing Company.
