Fractal Geometry and Number Theory (フラクタル幾何学と数論) - Authors: Michel L. Lapidus, Machiel van Frankenhuysen - Publisher: Birkhäuser - ISBN: 978-3-0348-0997-5 - Theme: Fractal Geometry and Number Theory - Content: Research on the complex dimensions of fractal strings and the zeros of zeta functions. A fractal drum is a bounded open subset of R. m with a fractal boundary. A difficult problem is to describe the relationship between the shape (geo­ metry) of the drum and its sound (its spectrum). In this book, we restrict ourselves to the one-dimensional case of fractal strings, and their higher dimensional analogues, fractal sprays. A mathematics text on the complex dimensions of fractal strings and the zeros of zeta functions. This is an English-language book. There are no noticeable scratches or stains.