Extrinsic Geometric Flows was written by Ben Andrews, Bennett Chow, Christine Guenther, and Mat Langford, and published in 2020 as volume 206 of Graduate Studies in Mathematics, a book series of the American Mathematical Society.

[3] As well as illustrating the mathematics under discussion with many figures,[4] it humanizes the content by providing photographs of many of the mathematicians that it references.

[1] Although intrinsic flows have been the subject of much recent attention in mathematics after their use by Grigori Perelman to solve both the Poincaré conjecture and the geometrization conjecture, extrinsic flows also have a long history of important applications in mathematics, closely related to the solutions of partial differential equations.

Their uses include modeling the growth of biological cells, metallic crystal grains, bubbles in foams,[4] and even "the deformation of rolling stones in a beach".

Others include:[4] Although Extrinsic Geometric Flows is more comprehensive and up-to-date than these works, it omits some of their topics, including anisotropic flows of curves in Chou & Zhu (2001), applications to the theory of relativity in Zhu (2002), and the level-set methods of Giga (2006).