---
product_id: 807350392
title: "Fractal Geometry and Number Theory"
price: "HK$798"
currency: HKD
in_stock: true
url: https://www.desertcart.hk/products/807350392-fractal-geometry-and-number-theory
store_origin: HK
region: Hong Kong
---

# Fractal geometry deep dive Advanced mathematical analysis Complex dimensions theory Fractal Geometry and Number Theory

**Price:** HK$798
**Availability:** ✅ In Stock

## Summary

> 📐 Decode the geometry of sound and join the fractal elite!

## Quick Answers

- **What is this?** Fractal Geometry and Number Theory
- **How much does it cost?** HK$798 with free shipping
- **Is it available?** Yes, in stock and ready to ship
- **Where can I buy it?** [www.desertcart.hk](https://www.desertcart.hk/products/807350392-fractal-geometry-and-number-theory)

## Best For

- Customers looking for quality international products

## Why This Product

- Free international shipping included
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## Key Features

- • **Master complex dimensions:** Delve into the poles of meromorphic extensions that reveal hidden mathematical structures.
- • **Cross-disciplinary relevance:** Bridges analytic, algebraic, and differential geometry for a holistic mathematical perspective.
- • **Collector’s gem in good condition:** Used book with pristine readability—perfect for scholars and enthusiasts eager to join the elite circle.
- • **Unlock the secrets of fractal strings:** Explore the intricate relationship between geometry and sound through fractal drums and strings.
- • **One-dimensional focus, infinite insights:** Specialized study on fractal strings with infinite sequences of intervals for rigorous analysis.

## Overview

This used book offers an advanced exploration of fractal geometry and number theory, focusing on fractal strings and their complex dimensions. It rigorously connects the shape of fractal drums to their spectral properties, making it a must-have for mathematicians and professionals seeking deep theoretical insights in analytic, algebraic, and differential geometry.

## Description

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. We develop a theory of complex di- mensions of a fractal string, and we study how these complex dimensions relate the geometry with the spectrum of the fractal string. We refer the reader to [Berrl-2, Lapl-4, LapPol-3, LapMal-2, HeLapl-2] and the ref- erences therein for further physical and mathematical motivations of this work. (Also see, in particular, Sections 7. 1, 10. 3 and 10. 4, along with Ap- pendix B. ) In Chapter 1, we introduce the basic object of our research, fractal strings (see [Lapl-3, LapPol-3, LapMal-2, HeLapl-2]). A 'standard fractal string' is a bounded open subset of the real line. Such a set is a disjoint union of open intervals, the lengths of which form a sequence which we assume to be infinite. Important information about the geometry of . c is contained in its geometric zeta function (c(8) = L lj. j=l 2 Introduction We assume throughout that this function has a suitable meromorphic ex- tension. The central notion of this book, the complex dimensions of a fractal string . c, is defined as the poles of the meromorphic extension of (c.

## Features

- Used Book in Good Condition

## Technical Specifications

| Specification | Value |
|---------------|-------|
| Best Sellers Rank | #3,826,007 in Books ( See Top 100 in Books ) #315 in Analytic Geometry (Books) #442 in Algebraic Geometry (Books) #447 in Differential Geometry (Books) |
| Customer Reviews | 5.0 out of 5 stars 1 Review |

## Images

![Fractal Geometry and Number Theory - Image 1](https://m.media-amazon.com/images/I/51mwYyheAOL.jpg)

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*Product available on Desertcart Hong Kong*
*Store origin: HK*
*Last updated: 2026-08-19*