What do you think?
The Math Inside the Machine: How Intelligence Emerges from Eleven Simple Operations
You already know the math inside ChatGPT. You just don't know you know it.
A Napoleonic revelation in the land of Ra. An escape from The Plague. A beachside think tank, gaming the apocalypse. A dying genius, guards at his door, and one unfinished question. These events don't seem connected to each other, let alone your last chatbot query, but they are.
Inside every AI system that appears to think is a machine built from eleven operations, the same ones you learned between kindergarten and calculus. In this book, you'll learn not just what this math means and how it works, but how the course of human history wandered its way to this moment.
Through these chapters, we trace this from Fourier before a skeptical Lagrange, to Shannon's statue and shadow, to Newton and Leibniz's bitter priority war, a dispute whose modern echo has spawned its own memes.
Not in the mood for math? This book is built for two kinds of reading. Some will follow every equation and find rigor enough to tackle the original papers afterward. Others will let the stories carry them. Each chapter is structured so you'll know when it's safe to skim.
By the final chapter, you'll trace a word through the transformer itself. You'll see the system as engineers do. The black box becomes glass, even if the wonder of emergence remains.
You'll be left with one last which is more unbelievable — the superhuman technology we are building, or the fragile history that brought us here?
A Napoleonic revelation in the land of Ra. An escape from The Plague. A beachside think tank, gaming the apocalypse. A dying genius, guards at his door, and one unfinished question. These events don't seem connected to each other, let alone your last chatbot query, but they are.
Inside every AI system that appears to think is a machine built from eleven operations, the same ones you learned between kindergarten and calculus. In this book, you'll learn not just what this math means and how it works, but how the course of human history wandered its way to this moment.
Through these chapters, we trace this from Fourier before a skeptical Lagrange, to Shannon's statue and shadow, to Newton and Leibniz's bitter priority war, a dispute whose modern echo has spawned its own memes.
Not in the mood for math? This book is built for two kinds of reading. Some will follow every equation and find rigor enough to tackle the original papers afterward. Others will let the stories carry them. Each chapter is structured so you'll know when it's safe to skim.
By the final chapter, you'll trace a word through the transformer itself. You'll see the system as engineers do. The black box becomes glass, even if the wonder of emergence remains.
You'll be left with one last which is more unbelievable — the superhuman technology we are building, or the fragile history that brought us here?
278 pages, Kindle Edition
Published January 9, 2026
About the author
Michael Bommarito
11 books6 followersMichael J Bommarito II is a researcher and entrepreneur in AI, law, and finance. His research has been published in scientific journals, law reviews, and mainstream media, including Science, Physica A, and the New York Times. He holds degrees from the University of Michigan in mathematics, political science, and financial engineering.
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January 13, 2026
It's pretty cool to see how simple (and some less simple, but accessible) math operations can come together to build such complex systems. This is a great book that breaks down highly technical topics in a way that anyone who is curious can understand.
Displaying 1 - 1 of 1 review