Title:
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FRACTAL GEOMETRY, COMPLEX DIMENSIONS AND ZETA FUNCTIONS
GEOMETRY AND SPECTRA OF FRACTAL STRINGS |
By: |
Michel L. Lapidus, Machiel van Frankenhuijsen |
Format: |
Hardback |

List price:
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£119.99 |
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£104.99 |
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£15.00 |
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ISBN 10: |
1461421756 |
ISBN 13: |
9781461421757 |
Availability: |
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Stock: |
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Publisher: |
SPRINGER-VERLAG NEW YORK INC. |
Pub. date: |
20 September, 2012 |
Edition: |
2nd ed. 2013 |
Series: |
Springer Monographs in Mathematics |
Pages: |
570 |
Description: |
In its Second Edition, this in-depth study of the vibrations of fractal strings interlinks number theory, spectral geometry and fractal geometry. Includes a geometric reformulation of the Riemann hypothesis and a new final chapter on recent topics and results. |
Synopsis: |
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. |
Illustrations: |
3 black & white tables, biography |
Publication: |
US |
Imprint: |
Springer-Verlag New York Inc. |
Returns: |
Returnable |