Showing titles in Mathematics

A New York Times bestseller John Urschel, mathematician and former offensive lineman for the Baltimore Ravens, tells the story of a life balanced between two passions For John Urschel, what began as an insatiable appetite for puzzles as a child developed into mastery of the elegant systems and...

From the New York Times-bestselling author of How Not to Be Wrong—himself a world-class geometer—a far-ranging exploration of the power of geometry, which turns out to help us think better about practically everything How should a democracy choose its representatives? How can you stop a...

A guide to changing how you think about numbers and mathematics, from the prodigy changing the way the world thinks about math. We all know math is important: we live in the age of big data, our lives are increasingly governed by algorithms, and we're constantly faced with a barrage of...

What if the numbers guiding your biggest decisions were never meant for you? From weather forecasts to medical risks, investment advice to AI predictions, probability surrounds modern life—offering the appearance of certainty in an uncertain world. Yet most people don’t realize: probability is a powerful tool, but only under the right conditions. Misapplied, it doesn’t just fail—it misleads. This book reveals the hidden structure behind when probability works, when it doesn’t, and why it so often feels precise but proves personally wrong.

In Gödel’s Shadow: Why No System Can Explain Itself, Boris Kriger explores one of the most unsettling discoveries of modern logic and follows its consequences far beyond mathematics. Beginning with Gödel’s incompleteness theorems, the book traces how any system capable of describing itself inevitably encounters truths it cannot justify from within. What emerges is not a technical puzzle, but a profound philosophical insight into the nature of reason, meaning, and explanation.

What if the "wisdom of the ages" isn't poetry, but fossilized data? In Foundations of Intellectual Substrate Mining, Boris Kriger shatters the boundary between the humanities and hard systems science. He proposes that our cultural heritage—proverbs, maxims, and ancient doctrines—is actually a high-density Intellectual Substrate: a record of formal laws tested by reality over millennia and compressed into "lossy" linguistic forms. Stop interpreting. Start mining.

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We often treat data cleaning as a neutral step.Delete missing rows. Fill gaps with the mean. Move on.But cleaning is not neutral. It is a modeling decision.In this episode, we unpack the statistical consequences of deletion and simple imputation, and why what looks “clean” can fundamentally alter your estimand, distort variance, and bias inference.We walk through:The formal role of the missingness indicatorThe difference between MCAR, MAR, and MNARWhy complete-case analysis is rarely as safe as it seemsHow mean imputation collapses variance and attenuates regression slopesWhen multiple ...

A “fascinating, witty, and perspective-shifting” (Oliver Burkeman, New York Times bestselling author) tour of Bayes’s theorem and its global impact on modern life from the acclaimed science writer and author of The Rationalist’s Guide to the Galaxy. At its simplest, Bayes’s theorem...

An electrifying biography of one of the most extraordinary scientists of the twentieth century and the world he made. The smartphones in our pockets and computers like brains. The vagaries of game theory and evolutionary biology. Nuclear weapons and self-replicating spacecrafts. All bear...

“An engaging voyage into some of the great mysteries and wonders of our world." --Alan Lightman, author of Einstein’s Dream and The Accidental Universe “No one is better at making the recondite accessible and exciting.” —Bill Bryson Brain Pickings and Kirkus Best Science Book of the...

Brilliant and entertaining mathematician Kit Yates illuminates seven mathematical concepts that shape our daily lives. From birthdays to birth rates to how we perceive the passing of time, mathematical patterns shape our lives. But for those of us who left math behind in high school, the numbers...

An illuminating, millennia-spanning history of the impact mathematics has had on the world, and the fascinating people who have mastered its inherent power, from Babylonian tax officials to the Apollo astronauts to the eccentric professor who invented the infrastructure of the online world...

An audio tour of the structures and patterns we call "math" This is an audiobook about math, but it contains no numbers. Math Without Numbers is a vivid, conversational, and wholly original guide to the three main branches of abstract math—topology, analysis, and algebra—which turn out to be...

Are you tired of being manipulated by faulty logic and hidden biases? Do you want to sharpen your ability to think clearly and make sound decisions? What if you could spot hidden fallacies and challenge flawed arguments effortlessly? Whether you're navigating daily challenges, handling complex decisions, or just seeking to sharpen your mind, this book equips you with essential techniques that shape the way you think and see the world.

I saggi di questo volume, che toccano la politica, la religione, la letteratura, la filosofia, la matematica e la scienza, sono raccolti in sezioni che si aprono con interviste immaginarie a personaggi del passato (Hitler, Gesù, Dante, Aristotele, Archimede, Newton) e si chiudono con interviste reali a quelli del presente (Chomsky, il Dalai Lama, Saramago, Kripke, Nash e Watson). Nel mezzo, il matematico impertinente dispiega l'arsenale della ragione per argomentare che non è affatto vero che non possiamo non dirci cristiani, o che siamo tutti americani.

Why does mathematics—a creation of the human mind—describe the physical world with such extraordinary precision? Why do equations invented for one purpose turn out, decades or centuries later, to be the perfect language for a completely different realm of nature? In 1960, the Nobel laureate Eugene Wigner called this correspondence a 'gift we neither understand nor deserve.' The question has haunted science ever since. In this book, Boris Kriger proposes an answer that is at once simple and profound: mathematics describes the world because only the mathematically structured survives.

"There is no author whose books I look forward to more than Vaclav Smil."--Bill Gates An essential guide to understanding how numbers reveal the true state of our world--exploring a wide range of topics including energy, the environment, technology, transportation, and food production. Vaclav...

Data Science Leaders: The premiere podcast for executives tackling the world’s most important challenges with the power of machine learning and artificial intelligence. Join host, Thomas Been, as we interview pioneering data science leaders and industry watchers to unearth the secrets to driving transformative business outcomes—and avoiding a myriad of pitfalls—with the latest ML & AI technologies. Our conversations are full of real stories, breakthrough strategies, and unique insights to help you build your own model for enterprise data science success.

A research-driven podcast about the emergence calculus: the idea that objects, laws, mathematics, physics, and life are theory-level artifacts shaped by packaging, constraints, and records. Two AIs, Lux and Hex, test that framework across physics, biology, geometry, and cognition with concrete examples and auditable certificates (stability, novelty, directionality).