Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings (Springer Monographs in Mathematics) 1st Edition by Michel L. Lapidus (PDF)

Description

Number theory, spectral geometry, and fractal geometry are interlinked in this study of the vibrations of fractal strings, that is, one-dimensional drums with fractal boundary. The Riemann hypothesis is given a natural geometric reformulation in context of vibrating fractal strings, and the book offers explicit formulas extended to apply to the geometric, spectral and dynamic zeta functions associated with a fractal.

User’s Reviews

Reviews from Amazon users which were colected at the time this book was published on the website:

⭐Dr. Lapidus is one of the great mathematical fractal thinkers of our timeand his book gives us a look at his thought processes.I have experimented with fractals with complex dimensionsand came to realize that although the concept was new,the fractals that result have been around a very long time,we just didn’t realize they were connected.We need more such books and more thinker like Dr. Lapidus!

⭐

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