Fractal Zeta Functions and Fractal Drums: Higher-Dimensional Theory of Complex Dimensions (Springer Monographs in Mathematics) - Image 1

£87.63

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

Name: Fractal Zeta Functions and Fractal Drums: Higher-Dimensional Theory of Complex Dimensions (Springer Monographs in Mathematics)
Brand: Springer
Price: 87.63 GBP
Availability: InStock

Functional Analysis

Pricier than usual. £7 more than the 30-day average — we'd wait.

£88 today · 30-day average £81 · all-time low £80

NEW HERE?

Amazon shows you one price. We show you all of them.

Tosheroon watches Amazon prices so you don't have to. Every product on Amazon has a price history — we make it visible. Set the price you'd actually pay, and we'll email you the second it gets there. No app, no account, one email.

WHAT'S ON THIS PAGE

↓ Price chart
when this has been cheap or pricey

↓ Forecast
where the price is heading next

↓ Statistics
all-time high & low, recent range

↑ Price alert
name your number, we'll email you

Price History & Forecast

Grey patches = out of stock. Cheaper = lower on the chart. Hover for exact prices.

Last 79 days · 79 data points (no recent data)

Historical

Generating forecast…

Price Distribution

Price distribution over 79 days • 4 price levels

Days at Price

Current Price

Price Analysis

Most common price: £80 (51 days, 64.6%)

Price range: £80 - £94

Price levels: 4 different prices over 79 days

Description

This monograph gives a state-of-the-art and accessible treatment of a new general higher-dimensional theory of complex dimensions, valid for arbitrary bounded subsets of Euclidean spaces, as well as for their natural generalization, relative fractal drums. It provides a significant extension of the existing theory of zeta functions for fractal strings to fractal sets and arbitrary bounded sets in Euclidean spaces of any dimension. Two new classes of fractal zeta functions are introduced, namely, the distance and tube zeta functions of bounded sets, and their key properties are investigated. The theory is developed step-by-step at a slow pace, and every step is well motivated by numerous examples, historical remarks and comments, relating the objects under investigation to other concepts. Special emphasis is placed on the study of complex dimensions of bounded sets and their connections with the notions of Minkowski content and Minkowski measurability, as well as on fractal tube formulas. It is shown for the first time that essential singularities of fractal zeta functions can naturally emerge for various classes of fractal sets and have a significant geometric effect. The theory developed in this book leads naturally to a new definition of fractality, expressed in terms of the existence of underlying geometric oscillations or, equivalently, in terms of the existence of nonreal complex dimensions. The connections to previous extensive work of the first author and his collaborators on geometric zeta functions of fractal strings are clearly explained. Many concepts are discussed for the first time, making the book a rich source of new thoughts and ideas to be developed further. The book contains a large number of open problems and describes many possible directions for further research. The beginning chapters may be used as a part of a course on fractal geometry. The primary readership is aimed at graduate students and researchers working in Fractal Geometry and other related fields, such as Complex Analysis, Dynamical Systems, Geometric Measure Theory, Harmonic Analysis, Mathematical Physics, Analytic Number Theory and the Spectral Theory of Elliptic Differential Operators. The book should be accessible to nonexperts and newcomers to the field.

Product Specifications

Brand: Springer
Format: hardcover
ASIN: 3319447041
Category: Books > Subjects > Science, Nature & Maths > Mathematics > Mathematical Analysis > Functional Analysis
Domain: Amazon UK
Release Date: 26 June 2017
Listed Since: 12 July 2016

Barcode

No barcode data available

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

Pricier than usual. £7 more than the 30-day average — we'd wait.

Price History & Forecast

Price Distribution

Price Analysis

Description

Product Specifications

Barcode

Similar Products You Might Like

Analysis, Probability And Mathematical Physics On Fractals: 5 (Fractals And Dynamics In Mathematics, Science, And The Arts: Theory And Applications)

Fractalize That! : A Visual Essay On Statistical Geometry: 3 (Fractals And Dynamics In Mathematics, Science, And The Arts: Theory And Applications)

Fractal Geometry and Dynamical Systems in Pure and Applied Mathematics: 2 (Contemporary Mathematics): Fractals in Applied Mathematics

Fractal Analysis: Basic Concepts And Applications: 91 (Series On Advances In Mathematics For Applied Sciences)

Fractals In Natural Science

Fractal Growth Phenomena (2nd Edition): Second Edition

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

CRC Press - Fractals: Biological Signalling and Image Processing

Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot: 72 (Proceedings of Symposia in Pure Mathematics)

Fractal Geometry and Applications: A Jubilee of Benoit Mandelbrot: 72 (Proceedings of Symposia in Pure Mathematics)

A Concise Introduction to Hypercomplex Fractals

Fractals: A User's Guide for the Natural Sciences (Oxford Science Publications)

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

The Fractal Geometry of Nature

Assouad Dimension and Fractal Geometry: 222 (Cambridge Tracts in Mathematics, Series Number 222)

The Fractal Geometry of Nature

Early Days in Complex Dynamics: a History of Complex Dynamics in One Variable During 1906-1942 (History of Mathematics)

Lectures On Fractal Geometry: 0 (Fractals and Dynamics in Mathematics, Science, and the Arts: Theory and Applications)

Fractais: a geometria da natureza, a ordem no caos: Uma proposta metodológica para o ensino de geometria fractal em sala de aula na educação básica

Space-Filling Curves (Universitext)

Fractal Architecture: Knowledge formation within and between architecture and the sciences of complexity.