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 of this book 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 that include even the DNA structure of life.
Puente (theoretical dynamics, U. of California-Davis) and his collaborators have discovered generalized versions of the central limit theorem leading to generalized Gaussian distributions the famous bell curve over one and higher dimensions through arbitrary iterations of simple mappings. To capture as wide a readership as possible, he focuses on diagrams and confines most equations and other technical matter to end notes. He includes a gallery of images printed and on the disk, but no bibliography. Annotation (c) Book News, Inc., Portland, OR (booknews.com)
