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Fractal Geometry, Complex Dimensions and Zeta Functions

Fractal Geometry, Complex Dimensions and Zeta Functions

Geometry and Spectra of Fractal Strings

by Machiel van Frankenhuijsen and Michel L. Lapidus
Hardback
Publication Date: 20/09/2012
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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.
ISBN:
9781461421757
9781461421757
Category:
Number theory
Format:
Hardback
Publication Date:
20-09-2012
Language:
English
Publisher:
Springer-Verlag New York Inc.
Country of origin:
United States
Edition:
2nd Edition
Pages:
570
Dimensions (mm):
235x155x33mm
Weight:
1.05kg

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You can find this item in:

Differential calculus & equations Calculus & mathematical analysis Functional analysis & transforms Nonlinear science Number theory Numerical analysis Cybernetics & systems theory Integral calculus & equations
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