Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings (Sp - Frankenhuijsen, Machiel van

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

Machiel van Frankenhuijsen

Yayınevi: Springer

Yayın tarihi: 09/2012

ISBN: 9781461421757

Ciltli | İngilizce | 596 Sayfa | 16,21x24,41x3,81 cm.

Tür: Matematik-İstatistik

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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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