Description

Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary.

Throughout Geometry, Complex Dimensions and Zeta Functions, Second Edition, new results are examined and a new definition of fractality as the presence of nonreal complex dimensions with positive real parts is presented. The new final chapter discusses several new topics and results obtained since the publication of the first edition.

Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings

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£109.99

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Hardback by Michel L. Lapidus , Machiel van Frankenhuijsen

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Description:

Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that... Read more

    Publisher: Springer-Verlag New York Inc.
    Publication Date: 20/09/2012
    ISBN13: 9781461421757, 978-1461421757
    ISBN10: 1461421756

    Number of Pages: 570

    Non Fiction , Mathematics & Science , Education

    Description

    Number theory, spectral geometry, and fractal geometry are interlinked in this in-depth study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary.

    Throughout Geometry, Complex Dimensions and Zeta Functions, Second Edition, new results are examined and a new definition of fractality as the presence of nonreal complex dimensions with positive real parts is presented. The new final chapter discusses several new topics and results obtained since the publication of the first edition.

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