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Fractal Geometry and Number Theory

Michel L. Lapidus, Machiel van Frankenhuysen




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 | #5539980 in Books |  Birkhäuser |  1999-12-10 | Original language:English | PDF # 1 |  9.21 x.75 x6.14l,1.23 | File type: PDF | 280 pages

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A fractal drum is a bounded open subset of R. m with a fractal boundary. A difficult problem is to describe the relationship between the shape (geo- metry) of the drum and its sound (its spectrum). In this book, we restrict ourselves to the one-dimensional case of fractal strings, and their higher dimensional analogues, fractal sprays. We develop a theory of complex di- mensions of a fractal string, and we study how these complex dimensions relate the geometry with the s...

You easily download any file type for your gadget.Fractal Geometry and Number Theory   |  Michel L. Lapidus, Machiel van Frankenhuysen. Which are the reasons I like to read books. Great story by a great author.

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