Analysis, Probability and Mathematical Physics on Fractals
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Book Overview In the 50 years since Mandelbrot identified the fractality of coastlines, mathematicians and physicists have developed a rich and beautif...
In the 50 years since Mandelbrot identified the fractality of coastlines, mathematicians and physicists have developed a rich and beautiful theory describing the interplay between analytic, geometric and probabilistic aspects of the mathematics of fractals. Using classical and abstract analytic tools developed by Cantor, Hausdorff, and Sierpinski, they have sought to address fundamental questions: How can we measure the size of a fractal set? How do waves and heat travel on irregular structures? How are analysis, geometry and stochastic processes related in the absence of Euclidean smooth structure? What new physical phenomena arise in the fractal-like settings that are ubiquitous in nature? This book introduces background and recent progress on these problems, from both established leaders in the field and early career researchers. The book gives a broad introduction to several foundational techniques in fractal mathematics, while also introducing some specific new and significant results of interest to experts, such as that waves have infinite propagation speed on fractals. It contains sufficient introductory material that it can be read by new researchers or researchers from other areas who want to learn about fractal methods and results.
Book Details Format: Hardcover | Pages: 596 | Language: English | Publisher: WORLD SCIENTIFIC PUB CO INC | ISBN: 9811215529
FormatHardcover
Pages596
LanguageEnglish
ISBN9811215529
EAN9789811215520
PublisherWORLD SCIENTIFIC PUB CO INC
Publication Date1970-01-01
AccessoriesNo Accessory
ConditionNew
Product TypeHARD COVER BOOKS
Weight2.11 Pounds
Length9.0 Inches
Width6.0 Inches
Height1.25 Inches
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