Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings
English | 593 pages | ISBN-10: 1461421756 | PDF | 3.18 MB
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.