Fractal worlds
Subtitle: grown, built, and imagined
By: Michael Frame and Amelia Urry ; foreword by Steven Strogatz
Contributors: Urry, Amelia, 1991- author; Strogatz, Steven H. (Steven Henry), writer of foreword
Published: 2016
Language: eng
Number of pages: 515
ISBN-13: 9780300197877
Subjects: Symmetry (Physics); Mandelbrot sets; Mathematical physics; Convex geometry; Mathematics in nature; Fractals
Description: "Fractal geometry is a uniquely fascinating area of mathematics, exhibited by 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 areas: 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."--Back cover.
Notes: Includes bibliographical references (pages 439-489) and index.
Table of contents: title: What is the shape of the world around us?; title: Self-similarity in geometry; title: Self-similarity in the wild; title: Manufactured fractals; title: The Mandelbrot set : infinite complexity from a simple formula; title: Quantifying fractals : what is fractal dimension?; title: Further developments; title: Valediction; title: A. A look under the hood : some technical notes; title: B. Solutions to the problems.