BIG MATH

A broad history of mathematics tackles consequential ideas—simply, surprisingly, and sometimes poetically.

Strogatz and Townsend, both math professors at Cornell University, bring big ideas down to earth through stories, anecdotes, and surprising examples of real-world, largely unseen systems that surround us. The authors write with clarity and charm. With examples ranging from ancient to modern times—planetary motions, Netflix recommendations, Google Maps, Amazon deliveries, and AI models—they trace systems back to their roots in matrices, image compression, prediction systems, and simulations. Figures including Isaac Newton and Google DeepMind’s Demis Hassabis—as well as Ella Fitzgerald, among others—illustrate human contributions to algorithmic tools that have shaped the world. Human insight—intimations that point to possible solutions—played a large role in the achievements of early mathematical explorers. Strogatz and Townsend warn that modern mathematicians are adopting black-box systems that operate outside of intuition or even outside of the physical world. Large language models, AI systems, and quantum computers may operate dangerously outside of human understanding and control. They argue now that we have built bigger computers, more precise code, and feed them more data, “the machines are beginning to reason about us—and calculate what to do with their freedom. We don’t yet know how to measure the alignment between their behaviors and our values, let alone how to guarantee it.” It’s a fascinating case for why understanding mathematical concepts still matters—even ideas some readers may think belong in the rearview mirror. The authors urge us to be active in our computational future: “We might never fully understand the oracles we’ve made, but…we can remain the conscience behind the code.”

An engaging, cautionary tale of how mathematical concepts became essential tools for managing modern life.