Description
FRACTAL IMAGES OF COMPLEX DYNAMICS
Book Summary
This book offers an accessible introduction to the theory of complex function iteration, one of the most fascinating branches of mathematics. Aimed at science or engineering students, the work combines theoretical rigor with the practical generation of fractal images using a computer. The reader will discover the fundamental concepts of complex dynamics, from periodic points to the famous Mandelbrot set, while learning to create their own visualizations with Matlab tools. A work that demonstrates how mathematical beauty can be translated into digital art.
What is it about?
The book explores the theory of function iteration in the complex plane, focusing on the generation of fractal images. Through elementary methods, essential topics of complex dynamics are analyzed: periodic points, Julia sets, the Mandelbrot set, and the application of Newton's method. The work includes the necessary Matlab tools so that the reader can reproduce and experiment with the presented images, obtaining spectacular visual results. To ensure the reader's autonomy, appendices on complex numbers and the use of Matlab are incorporated, making the content self-contained and facilitating its understanding.
Main Topics
- Iteration of complex functions
- Julia sets and the Mandelbrot set
- Periodic points and function dynamics
- Newton's method in the complex plane
- Generation of fractal images with Matlab
- Mathematical visualization and fractal art
Who is it recommended for?
This book is aimed at science and engineering students and professionals who have completed at least one introductory university course in their discipline. It is also of interest to enthusiasts of mathematics, programming, and digital art who wish to understand the theoretical foundations behind fractal images and learn to generate them for themselves.
What this book offers
- Clear and accessible understanding of the fundamental concepts of complex dynamics.
- Ability to generate unique and spectacular fractal images using Matlab.
- Practical tools and ready-to-run code, facilitating autonomous experimentation.
- An approach that combines mathematical rigor with visual and creative application.
- Reading autonomy thanks to appendices that cover the necessary prior knowledge.
Technical Data
- Author: PIÑEIRO GOMEZ, CANDIDO
- Publisher: UNIVERSIDAD DE HUELVA
- Language: Spanish
- Subject: MATHEMATICS, EQUIPMENT, EXPERIMENTS AND SCIENTIFIC TECHNIQUES
- Collection: COMPENDIUM
- Binding: Paperback
- Publication date: January 2021
- Number of pages: 152
- Weight: 376 g
Editorial Review
A work that manages to bridge the gap between advanced mathematical theory and its visual application, without sacrificing rigor. Its didactic approach, supported by practical examples with Matlab, makes it a useful tool both for autonomous learning and as support in mathematics or computer science courses. The inclusion of unique images and the clarity of the exposition make it recommended for those who wish to explore complex dynamics from both a theoretical and creative perspective.