検索キーワード： 数学

#1 INTERNATIONAL BESTSELLER AN ADAM SAVAGE BOOK CLUB PICK The book-length answer to anyone who ever put their hand up in math class and asked, “When am I ever going to use this in the real world?” “Fun, informative, and relentlessly entertaining, Humble Pi is a charming and very readable...

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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A vibrant account of how measurement has invisibly shaped our world, from ancient civilizations to the modern day.

A celebrated mathematician explores how math helps us make sense of the unpredictable We would like to believe we can know things for certain. We want to be able to figure out who will win an election, if the stock market will crash, or if a suspect definitely committed a crime. But the odds are...

Why mathematical models are so often wrong, and how we can make better decisions by accepting their limits Whether we are worried about the spread of COVID-19 or making a corporate budget, we depend on mathematical models to help us understand the world around us every day. But models aren’t a...

Brought to you by Penguin. We have never had so much information at our fingertips and yet most of us don't know how the world really works. This book explains seven of the most fundamental realities governing our survival and prosperity. From energy and food production, through our material...

Alan Turing can be regarded as one of the greatest scientists of the 20th century. But who was Turing, and what did he achieve during his tragically short life of 41 years? Best known as the genius who broke Germany's most secret codes during the war of 1939-45, Turing was also the father of the modern computer. Today, all who 'click-to-open' are familiar with the impact of Turing's ideas. Here, B. Jack Copeland provides an account of Turing's life and work, exploring the key elements of his life-story in tandem with his leading ideas and contributions.

The Freakonomics of math—a math-world superstar unveils the hidden beauty and logic of the world and puts its power in our hands The math we learn in school can seem like a dull set of rules, laid down by the ancients and not to be questioned. In How Not to Be Wrong, Jordan Ellenberg shows us...

Calculus isn’t just math. It’s how we figured out motion, change, curves, and reality itself. In Calculus 101, JJ takes you on a high-speed ride through the history, drama, and logic behind the most powerful tool humans ever invented. From ancient geometry and Zeno’s paradoxes to Newton’s plague-year breakthrough and the equations running Wall Street, this book breaks it all down in plain English with clarity, humor, and momentum.

The epic story of how a handful of surprisingly simple mathematical ideas have sparked today’s technological breakthroughs—from Netflix’s recommendation algorithm to medical imaging to artificial intelligence and beyond—while also slipping further and further from our understanding, with...

The history of pi, says the author, though a small part of the history of mathematics, is nevertheless a mirror of the history of man. Petr Beckmann holds up this mirror, giving the background of the times when pi made progress - and also when it did not, because science was being stifled by militarism or religious fanaticism.

What if topology were not about objects, but about transformations? Not about space, but about the conditions under which identity persists? This book invites listeners into a radical rethinking of mathematics—not as a solemn march of proofs, but as a living practice of imaginative stability, structural openness, and conceptual play. Moving through classical theory, unresolved conjectures, and emerging landscapes of abstraction, this work reframes topology as a mode of thought that thrives on deformation, ambiguity, and partial knowledge.

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).

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 ...

We all like to think we're making decisions based on reality, but in fact, we're almost always working from incomplete information. And when 'you don't know what you don't know', it can be impossible to navigate successfully. In You Don't Know What You're Missing mathematician Kit Yates explores...

The Random Pattern explores the uneasy space where mathematics collides with human intuition. Every week, we examine randomness, probability, and the persistent belief that hidden systems govern events that are, in reality, independent and unpredictable. From lottery strategies and coincidence theories to cognitive bias and statistical illusion, this podcast asks a simple question: Why does the human mind insist on finding meaning where mathematics says none exists? Rather than promising predictions, we break down the structure of uncertainty itself. Using clear explanations of probability, ...