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Treasures Inside the Bell: Hidden Order in Chance (With CD-ROM)
 
 
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Treasures Inside the Bell: Hidden Order in Chance (With CD-ROM) [Hardcover]

Carlos Enrique Puente Angulo (Author), Carlos E. Puente (Author)

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Book Description

9812381406 978-9812381408 April 25, 2003
Generalized versions of the central limit theorem that lead to Gaussian distributions over one and higher dimensions, via arbitrary iterations of simple mappings, have recently been discovered by the author and his collaborators. "Treasures Inside the Bell: Hidden Order in Chance" reveals how these new constructions result in infinite exotic kaleidoscopic decompositions of two-dimensional circular bells in terms of beautiful deterministic patterns possessing arbitrary n-fold symmetries. These are patterns that, while reminding us of the infinite structure previously found in the celebrated Mandelbrot set, turn out to contain natural shapes such as snow crystals and biochemical rosettes, and even the DNA structure of life.

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Editorial Reviews

Review

Carlos Puente has a gift for drawing connections and finding patterns. -- William A Dembski, Associate Research Professor, Baylor University

In this intriguing and original book, the author describers remarkable symmetric patterns and resonances concealed within the bell curve. -- Michael Field, Professor of Mathematics, University of Houston

It deals with esoteric limit theorems and fractal/multifractal constructions, but can be ejoyed by readers with minimal technical background. -- Daniele Veneziano, Professor of Civil and Environmental Engineering, Massachusetts Institute of Technology

This beautifully illustrated book deals with iterated function systems (IFS), especially those which generate curves representing continuous functions. -- Mathematical Reviews

Through striking and brilliant designs, the reader can appreciate and marvel at another magnificent facet of the normal distribution. -- The American Statistician

From the Publisher

Readership: Upper level undergraduates and graduate students, as well as high school students interested in art and computers.

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Inside This Book (learn more)
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First Sentence:
This section of the book attempts to explain, step by step, what is needed in order to understand and recreate the lovely patterns that are found inside the bell. Read the first page
Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
interpolating wires, fractal interpolating functions, averaged wires, circular bell, interpolating points, chaos game, sign combinations, uniform measure, simple mappings, sequential patterns
Key Phrases - Capitalized Phrases (CAPs): (learn more)
Introducing the Bell, Gallery Designs, Technical Notes, Fractals Everywhere, Rotational Patterns, Cambridge University Press, Applied Probability, Derived Measure Moments Order, Numerical Recipes, Seed Initial, The Art of Scientific Computing
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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