Numerical Modelling and Simulation of Fractals in C++ : Geometric Modeling of Fractals with Object-Oriented Programming Language

Ph. D. Santos

ISBN 10: 6205734591 / ISBN 13: 9786205734599

Published by Our Knowledge Publishing, 2023

About this Item

Zustand: Hervorragend | Sprache: Englisch | Produktart: Bücher | In Euclidean Geometry, the simplest and best known figures are studied, such as: straight lines, squares, circles, cones, pyramids, among others. In this context, many phenomena and shapes are found in nature, which cannot be explained in the conventional mathematical molds, requiring a special theory to explain and characterize them, known as fractal geometry. According to (TRICOT, 1955) fractal means "broken", which are geometric shapes with some special characteristics that define and distinguish them from other shapes, such as self-similarity at different levels of scale. Currently, fractal geometry, especially the fractal dimension, has been used in several areas of knowledge, such as the study of chaotic systems, image analysis and pattern recognition, texture analysis, among others. This book presents numerical simulation along with mathematical concepts with object oriented programming languages, allowing the topological representation of fractals.

Seller Inventory # 41472997/1

Bibliographic Details

• Title: Numerical Modelling and Simulation of Fractals in C++ : Geometric Modeling of Fractals with Object-Oriented Programming Language
• Publisher: Our Knowledge Publishing
• Publication Date: 2023
• Language: English
• ISBN 10: 6205734591
• ISBN 13: 9786205734599
• Binding: Soft cover
• Condition: Hervorragend
• Seller catalogs:
  • Bücher

About this title

Synopsis

In Euclidean Geometry, the simplest and best known figures are studied, such as: straight lines, squares, circles, cones, pyramids, among others. In this context, many phenomena and shapes are found in nature, which cannot be explained in the conventional mathematical molds, requiring a special theory to explain and characterize them, known as fractal geometry. According to (TRICOT, 1955) fractal means "broken", which are geometric shapes with some special characteristics that define and distinguish them from other shapes, such as self-similarity at different levels of scale. Currently, fractal geometry, especially the fractal dimension, has been used in several areas of knowledge, such as the study of chaotic systems, image analysis and pattern recognition, texture analysis, among others. This book presents numerical simulation along with mathematical concepts with object oriented programming languages, allowing the topological representation of fractals.