The aim of this book is to provide a basic and self-contained introduction to the ideas underpinning fractal analysis. The book illustrates some important applications issued from real data sets, real physical and natural phenomena as well as real applications in different fields, and consequently, presents to the readers the opportunity to implement fractal analysis in their specialties according to the step-by-step guide found in the book.Besides advanced undergraduate students, graduate students and senior researchers, this book may also serve scientists and research workers from industrial settings, where fractals and multifractals are required for modeling real-world phenomena and data, such as finance, medicine, engineering, transport, images, signals, among others.For the theorists, rigorous mathematical developments are established with necessary prerequisites that make the book self-containing. For the practitioner often interested in model building and analysis, we provide the cornerstone ideas.Key Features• The aim is to expose concepts underpinning fractal analysis for a common scientific community from different branches• For theorists and applied researchers from a wide range of scientific fields, including pure mathematics, physics, statistics, time series, medicine, and econo-financial sciences• Provides a step-by-step guide to the understanding of fractal analysis and its applications in other fields• Provides a self-contained coverage of mathematical concepts as well as their proofs and does not require a strong previous background to be understood especially for postgraduate levels

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