Presents the latest groundbreaking theoretical foundation to shape optimization in a form accessible to mathematicians, scientists and engineers.

An instant New York Times Bestseller! “Unreasonably entertaining . . . reveals how geometric thinking can allow for everything from fairer American elections

This book formalizes and analyzes the relations between multiple views of a scene from the perspective of various types of geometries. A key feature is that it

The tools to use for problems where the modeling, optimization, or control variable is the structure of a geometric object.

Written in a style that is accessible to a wide audience, The Fractal Geometry of Nature inspired popular interest in this emerging field. Mandelbrot's unique s