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

by Machiel Van Frankenhuijsen and Michel L. Lapidus

Book Overview

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...

• Format: Paperback
• Language: English
• ISBN: 1489988386
• ISBN13: 9781489988386
• Release Date: October 2014
• Publisher: Springer
• Length: 570 Pages
• Weight: 1.81 lbs.
• Dimensions: 1.2" x 6.1" x 9.2"