13.

[Cover] [Abbreviated Contents] [Contents] [Index]

Page 110

		1.6.2— Where to Learn More about Fractals

		There are many good books on fractals and hundreds of research articles published in journals each year. Some references, at different levels, that can lead you further into the mathematical details and the applications of fractals are the following:

		1— Mandelbrot

		The Fractal Geometry of Nature and its earlier edition Fractals: Form, Chance, and Dimension by Mandelbrot made the scientific community aware of fractals. Mandelbrot developed some of the mathematics of fractals and applied them to many different scientific fields. His book is beautiful, passionate, and at a mathematical level that is sometimes frustratingly too simple and too complex at the same time.

		2— Fractals in Mathematics

		The mathematics of fractals is based on measure theory and topology. Two books that provide a clear and rigorous introduction to the mathematics of fractals are Fractals Everywhere by Barnsley and Measure, Topology, and Fractal Geometry by Edgar.

		3— Fractals in Physics and Chemistry

		Fractals by Feder and The Fractal Approach to Heterogeneous hemistry edited by Avnir provide an introduction to fractals at the mathematical level of the calculus and review applications of fractals in physics and chemistry.

		4— Fractals in Biomedical Research

		Fractal Physiology by Bassingthwaighte, Liebovitch, and West provides an introduction to fractal properties both at a qualitative level and at the mathematical level of elementary calculus. It gives detailed descriptions and references to many biomedical applications of fractals. Additional biomedical applications are described in Fractal Geometry in Biological Systems, edited by Iannaccone and Khokha.

 

[Cover] [Abbreviated Contents] [Contents] [Index]