Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings (Springer Monographs in Mathematics) - Image 1

£105.99

Springer Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings (Springer Monographs in Mathematics)

Name: Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings (Springer Monographs in Mathematics)
Brand: Springer
Price: 106.49 GBP
Availability: InStock

Reference

Price History & Forecast

Last 30 days • 30 data points (No recent data available)

Historical

Generating forecast...

Price Distribution

Price distribution over 30 days • 1 price levels

Days at Price

Price Analysis

Most common price: £106 (30 days, 100.0%)

Price range: £106 - £106

Price levels: 1 different prices over 30 days

Description

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 of this Second Edition: 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 dynamical zeta functions associated with a fractal Examples of such explicit formulas include a Prime Orbit Theorem with error term for self-similar flows, and a geometric tube formula The method of Diophantine approximation is used to study self-similar strings and flows Analytical and geometric methodsare used to obtain new results about the vertical distribution of zeros of number-theoretic and other zeta functions Throughout, 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. The significant studies and problems illuminated in this work may be used in a classroom setting at the graduate level. Fractal Geometry, Complex Dimensions and Zeta Functions, Second Edition will appeal to students and researchers in number theory, fractal geometry, dynamical systems, spectral geometry, and mathematical physics.

Product Specifications

Brand: Springer
Format: paperback
ASIN: 1489988386
Category: Books > Subjects > Reference
Domain: Amazon UK
Release Date: 15 October 2014
Listed Since: 15 October 2014

Barcode

No barcode data available

Springer Fractal Geometry, Complex Dimensions and Zeta Functions: Geometry and Spectra of Fractal Strings (Springer Monographs in Mathematics)

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Fractal Zeta Functions and Fractal Drums: Higher-Dimensional Theory of Complex Dimensions (Springer Monographs in Mathematics)

Zeta Functions Of Reductive Groups And Their Zeros (Algebraic Geometry Algebraic T)

Noncommutative Geometry, Quantum Fields and Motives (Colloquium Publications)

The Theory of Zeta-Functions of Root Systems (Springer Monographs in Mathematics)

The Theory of Zeta-Functions of Root Systems (Springer Monographs in Mathematics)

Bernoulli Numbers and Zeta Functions (Springer Monographs in Mathematics)

Quantized Number Theory, Fractal Strings and the Riemann Hypothesis: From Spectral Operators to Phase Transitions and Universality: 4 (Fractals And ... And The Arts: Theory And Applications)

Springer - Exploring the Riemann Zeta Function Book

Exploring the Riemann Zeta Function: 190 years from Riemann's Birth

Operators, Geometry and Quanta: Methods of Spectral Geometry in Quantum Field Theory (Theoretical and Mathematical Physics)

Aspects of Scattering Amplitudes and Moduli Space Localization (Springer Theses)

Aspects of Scattering Amplitudes and Moduli Space Localization (Springer Theses)

Bernoulli Numbers and Zeta Functions (Springer Monographs in Mathematics)

Geometrical Dynamics of Complex Systems: A Unified Modelling Approach to Physics, Control, Biomechanics, Neurodynamics and Psycho-Socio-Economical ... and Automation: Science and Engineering, 31)

Some Musings on Theta, Eta, and Zeta: From E8 to Cold Plasma to an lnhomogeneous Universe (Mathematical Physics Studies)

The Riemann Zeta-Function: 5 (De Gruyter Expositions in Mathematics, 5)

Springer - The Beltrami Equation: A Geometric Approach, Vol 26

Geometry of Continued Fractions: 26 (Algorithms and Computation in Mathematics, 26)

Curvature Measures of Singular Sets (Springer Monographs in Mathematics)

Curvature Measures of Singular Sets (Springer Monographs in Mathematics)

Cohomological Theory of Dynamical Zeta Functions: 194 (Progress in Mathematics, 194)

Geometry of Continued Fractions: 26 (Algorithms and Computation in Mathematics, 26)

Elsevier Fractal Dimensions for Poincare Recurrences Vol 2

World Scientific Analytic Methods In Number Theory Book