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 anew definition of fractality as the presence of nonreal complex dimensions with positive real parts is presented. Thenewfinal chapterdiscusses several new topics and results obtained since the publication of the first edition."
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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 anew definition of fractality as the presence of nonreal complex dimensions with positive real parts is presented. Thenewfinal chapterdiscusses several new topics and results obtained since the publication of the first edition."
Imprint | Springer-Verlag New York |
Country of origin | United States |
Series | Springer Monographs in Mathematics |
Release date | September 2012 |
Availability | Expected to ship within 9 - 15 working days |
First published | 2013 |
Authors | Michel L Lapidus, Machiel van Frankenhuijsen |
Dimensions | 235 x 155 x 33mm (L x W x T) |
Format | Hardcover |
Pages | 570 |
Edition | 2nd ed. 2013 |
ISBN-13 | 978-1-4614-2175-7 |
Barcode | 9781461421757 |
Categories | |
LSN | 1-4614-2175-6 |