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

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9786205734599: Numerical Modelling and Simulation of Fractals in C++: Geometric Modeling of Fractals with Object-Oriented Programming Language

Inhaltsangabe

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.

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Über die Autorin bzw. den Autor

PhD in Applied Mathematics from Faculdade de Ciências da Universidade do Porto - FCUP/U.Porto (Portugal), in the area of Fluid Dynamics. Master in Mechanical Engineering in the area of Fluid Dynamics and Flow Machinery by the Federal University of Itajubá - UNIFEI/MG. Bachelor in Mathematics by the Federal University of Acre - UFAC.

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