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.
“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~Steven Strogatz
“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~David Peak
“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~Joseph Mazur
“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~Kenneth Falconer
Won an Honorable Mention in the Mathematics category for the 2017 American Publishers Awards for Professional & Scholarly Excellence (PROSE).~PROSE, PROSE