Fractal Worlds. Grown, Built, and Imagined /

• Main Author: Frame, Michael.
• Other Authors: Urry, Amelia.
• Format: eBook
• Language: English
• Published: New Haven : Yale University Press 2016.
• Subjects: Fractals.; MATHEMATICS / Essays; MATHEMATICS / Pre-Calculus; MATHEMATICS / Reference; Fraktal; Electronic books.; Electronic book.
• Online Access: View fulltext via EzAccess

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 o...

Table of Contents:

• What is the shape of the world around us?
• Self-similarity in geometry
• Self-similarity in the wild
• Manufactured fractals
• The Mandelbrot set : infinite complexity from a simple formula
• Quantifying fractals : what is fractal dimension?
• Further developments
• Valediction
• A. A look under the hood : some technical notes
• B. Solutions to the problems.