Fractal Worlds: Grown, Built, and Imagined

by Michael Frame, Amelia Urry

Fractal geometry is a uniquely fascinating area of mathematics, exhibited in a range of shapes that exist in the natural world, from a simple broccoli floret to a majestic mountain range. In this essential primer, mathematician Michael Frame—a close collaborator with Benoit Mandelbrot, the founder of fractal geometry—and poet Amelia Urry explore the amazing world of fractals as they appear in nature, art, medicine, and technology. Frame and Urry offer new insights into such familiar topics as measuring fractal complexity by dimension and the life and work of Mandelbrot. In addition, they delve into less-known fractals with memory, the Mandelbrot set in four dimensions, fractals in literature, and more. An inviting introduction to an enthralling subject, this comprehensive volume is ideal for learning and teaching.

Genres: Mathematics, Ecology, Science

544 pages, Paperback

First published April 26, 2016

Reviews

[Nadvornix · Rating 5 out of 5]

I love this genre, but there way too few books in it. It is a book that assumes that reader understand math, but is focusing on insight instead of showing most of theory. Much more rigorous than popular books on fractal. Less frightening than mathematics textbooks.
Two books in one. First is less mathy overview. Second is more mathy collection of interesting bits. That is also a great idea.
I think everybody should read one book on fractals to see how ever-present they are. And this is a great starting point (Fractals: Form, Chance and Dimension is also similar and good, but very obsolete)