Opening book details…
Can I read Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings (Springer Monographs in Mathematics) on EtoBox?
Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings (Springer Monographs in Mathematics) by Bruce E. Larock, Roland W. Jeppson, Gary Z. Watters is a nonfiction available to read on EtoBox.
What is Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings (Springer Monographs in Mathematics) about?
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. Key Features: - The Riemann hypothesis is given a natural geometric reformulation in the context of vibrating fractal strings - Complex dimensions of a fractal string, defined as the poles of an associated zeta function, are studied in detail, then used to understand the oscillations intrinsic to the corresponding fractal geometries and frequency spectra - Explicit formulas are extended to apply to the geometric, spectral, and dynamic zeta functions associated with a fractal - Examples of such formulas include Prime Orbit Theorem with error term for self-similar flows, and a tube formula - The method of diophantine approximation is used to study self-similar strings and flows - Analytical and geometric methods are used to obtain new results about the vertical distribution of zeros of number-theoretic and other zeta functions Throughout new results are examined. The final chapter gives a new definition of fractality as the presence of nonreal complex dimensions with positive real parts. The significa
Who reads Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings (Springer Monographs in Mathematics)?
It is typically read by self-directed learners exploring a subject in depth.
Common subject areas: history, science, philosophy, social sciences.
- Author
- Bruce E. Larock, Roland W. Jeppson, Gary Z. Watters
- Publisher
- Springer
- Published
- 2006
- Language
- EN
- ISBN
- 9781280969928
- Category
- nonfiction
- Subjects
- Mathematics, Engineering, Science
More by Bruce E. Larock, Roland W. Jeppson, Gary Z. Watters
Browse all works by Bruce E. Larock, Roland W. Jeppson, Gary Z. Watters
Similar books
- Lapidus M Et Al Fractal Geometry Complex Dimensions And Zeta Functions Springer 2006 — Desconocido (2007)
- Fractal Geometry and Number Theory : Complex Dimensions of Fractal Strings and Zeros of Zeta Functions, with 26 Illustrations — Michel L. Lapidus, Michel Laurent Lapidus, Machiel van Frankenhuysen (2000)
- Fractal Zeta Functions and Fractal Drums: Higher-Dimensional Theory of Complex Dimensions (Springer Monographs in Mathematics) — Michel L. Lapidus, Goran Radunović, Darko Žubrinić (2017)
- Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings (2006)