Physics of Fractal Operators (Institute for Nonlinear Science) 2003rd Edition by Bruce West (PDF)

Description

This text describes the statistcal behavior of complex systems and shows how the fractional calculus can be used to model the behavior. The discussion emphasizes physical phenomena whose evolution is best described using the fractional calculus, such as systems with long-range spatial interactions or long-time memory. The book gives general strategies for understanding wave propagation through random media, the nonlinear response of complex materials, and the fluctuations of heat transport in heterogeneous materials.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐This book is very well written. It gives detailed treatment of the mathematical and physical concepts needed to deal practically with applications of Fractal Operators. I think though one needs a certain amount of mathematical maturity and also prior familiarity with the ideas of fractal and fractional operators. So I think it does not fit well the scenario of the first year graduate student. All in all great book and highly recommended!

⭐In the late 90’s several people in the fractal world realized thatfractal dimension in real values implied that there werefractional calculus operations at work. This fellow got his publishedyears later because he works for the Army andhis co-authors are out of the fractal center at Denton Texaswhere Dr. Mauldin is in the mathematics department.I have to give these guys high marks for including fractionalcalculus applied to Levy distributions.First, let me clarify: fractional calculus goes back to the middle 19th centurywith Fourier and Abel, but the idea of fractional dimensions wasonly realized in the 30’s and 40’s. Actual application of fractionalcalculus to fractal systems only began in the late 1990’s.So when this book was published in 2003 it was and probably still is cutting edge material.I know a Chinese fellow who has “rediscovered” this math just lately,who would like this book and a Mathematica using German professorwho is in Egypt that would like to have a copy as well.The demand is international and this “supercalculus” is the mathematics of the 21st century.I really wanted to give this book low marks, but could bring myself to do it.This kind of work really needed to be published.

⭐I think it should be “Fractional Operators”. Fractal is a static, geometrical concept while “fractional operator” is dynamic and evolving. I love this book. Bruce West influenced my understanding of fractional dynamics. I made a whole collection of B J West’s works. If any one interest a copy, contact me “yqchen@ieee.org”

⭐Can’t believe anyone would pay $85 for a DRM laden Kindle book. Used copies in hard book are reliable.

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