---
product_id: 807350392
title: "Fractal Geometry and Number Theory"
price: "R$900"
currency: BRL
in_stock: true
url: https://www.desertcart.com.br/products/807350392-fractal-geometry-and-number-theory
store_origin: BR
region: Brazil
---

# Fractal strings & sprays theory Deep mathematical insights Complex dimensions & spectra Fractal Geometry and Number Theory

**Price:** R$900
**Availability:** ✅ In Stock

## Summary

> 📐 Decode the hidden language of fractals and sound — be the math visionary everyone envies!

## Quick Answers

- **What is this?** Fractal Geometry and Number Theory
- **How much does it cost?** R$900 with free shipping
- **Is it available?** Yes, in stock and ready to ship
- **Where can I buy it?** [www.desertcart.com.br](https://www.desertcart.com.br/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:** Dive into the poles of meromorphic extensions that reveal fractal secrets.
- • **From Fractal Strings to Sprays:** Understand higher-dimensional analogues expanding your mathematical horizon.
- • **Curated for the Analytical Mind:** Perfect for professionals craving advanced fractal and number theory knowledge.
- • **Unlock the Geometry-Sound Mystery:** Explore how fractal shapes influence spectral properties in one dimension.
- • **Collector’s Edition in Good Condition:** Own a rare used copy that fuels your intellectual edge and social cachet.

## Overview

This used book offers an advanced exploration of fractal geometry and number theory, focusing on fractal strings and sprays. It develops a theory of complex dimensions linking geometry with spectral properties, ideal for professionals and enthusiasts seeking deep mathematical insights.

## 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 | #11,442,360 in Books ( See Top 100 in Books ) #486 in Analytic Geometry (Books) #810 in Fractal Mathematics #823 in Algebraic 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 Brazil*
*Store origin: BR*
*Last updated: 2026-07-20*