Fractal Worlds


You are viewing an older version of the Yalebooks website. Please visit out new website with more updated information and a better user experience:

Grown, Built, and Imagined

Michael Frame and Amelia Urry

View Inside Format: Paper
Price: $26.95
Our shopping cart only supports Mozilla Firefox. Please ensure you're using that browser before attempting to purchase.

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 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.

Michael Frame taught mathematics at Yale University for twenty years. Amelia Urry is a journalist and poet.

See supplementary materials here.

Fractal Worlds portrays math as math lovers know it: a beautiful garden, a place of curiosity and delight, a tribute to human creativity and the wonders of nature.”—Steven Strogatz, author of Sync and The Joy of x

Fractal Worlds is a cornucopia of all things fractal. Simultaneously rigorous and gentle, it engages the reader in orderly, yet wildly imaginative, musings. An instant classic.”—David Peak, Utah State University

“Frame and Urry give us the ultimate perusing experience of fractal marvels as a far-reaching string of luminous gems encircling literature, art, science, and nature.”—Joseph Mazur, author of Fluke: The Math and Myth of Coincidences

Fractal Worlds can be appreciated at many levels. Experts and newcomers alike will discover fresh gems from the universe of fractals, their science, mathematics, and art.”—Kenneth Falconer, author of Fractal Geometry: Mathematical Foundations and Applications

Won an Honorable Mention in the Mathematics category for the 2017 American Publishers Awards for Professional & Scholarly Excellence (PROSE).

Selected by Choice magazine as one of the Top 75 Community College Titles for 2016
ISBN: 9780300197877
Publication Date: June 21, 2016
544 pages, 6 1/8 x 9 1/4
328 b/w illus.