検索キーワード： 数学

If you move at high speed, time slows down, space squashes up, and you get heavier. Travel fast enough and you could weigh as much as a jumbo jet, be flattened thinner than a CD without feeling a thing - and live forever! As for the angles of a triangle, they do not always have to add up to 180 degrees. And then, of course, there are black holes. These are but a few of the extraordinary consequences of Einstein's theory of relativity.

Nobel Laureate Eugene Wigner once wondered about "the unreasonable effectiveness of mathematics" in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that - mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true.

John Forbes Nash, Jr., a prodigy and legend by the age of 30, dazzled the mathematical world by solving a series of deep problems deemed "impossible" by other mathematicians. But at the height of his fame, Nash suffered a catastrophic mental breakdown and began a harrowing descent into insanity, resigning his post at MIT, slipping into a series of bizarre delusions, and eventually becoming a dreamy, ghostlike figure at Princeton, scrawling numerological messages on blackboards.

This is my very interesting podcast about FPGAs and applications. Hosted on Acast. See acast.com/privacy for more information.

Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate...

Bertrand Russell wrote that mathematics can exalt "as surely as poetry". This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity, or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections.

Are you fascinated by the laws of nature, quantum physics, and its basic concepts that seem meaningless? Quantum mechanics is a field that attempts to understand the behavior of subatomic objects using mathematical notions. The book explains uncertainty and time dependence by further elaborating on the principles of quantum states. It also describes the entanglement of particle and wave states, thereby offering interested listeners the possibility of understanding physics at a slower tempo.

Sparked by observing teachers struggle to implement rich mathematics tasks to engage students in deep thinking, Peter Liljedahl has translated his 15 years of research into this practical guide on how to move toward a thinking classroom. Building Thinking Classrooms in Mathematics, Grades K-12 helps teachers implement 14 optimal practices for thinking that create an ideal setting for deep mathematics learning to occur.

Aubrey Clayton traces the history of how statistics went astray, beginning with the groundbreaking work of the 17th-century mathematician Jacob Bernoulli and winding through gambling, astronomy, and genetics. Clayton recounts the feuds among rival schools of statistics, exploring the surprisingly human problems that gave rise to the discipline and the all-too-human shortcomings that derailed it.

Data Driven Business Transformation is the practical guide to harnessing your data to compete and thrive in today's dynamic marketplace. This essential resource provides the insight, knowledge and focus you require to transform your business - unlocking the power of data and revealing its hidden value. Delivering step-by-step instructions to every stage of data transformation, this book enables you to strengthen your data literacy and make effective data-driven decisions.

From batting averages and political polls to game shows and medical research, the real-world application of statistics continues to grow by leaps and bounds. How can we catch schools that cheat on standardized tests? How does Netflix know which movies you'll like? What is causing the rising incidence of autism? As best-selling author Charles Wheelan shows us in Naked Statistics, the right data and a few well-chosen statistical tools can help us answer these questions and more.

Learn how to think like a physicist from a Nobel laureate and "one of the greatest minds of the twentieth century" (New York Review of Books) with these six classic and beloved lessons It was Richard Feynman's outrageous and scintillating method of teaching that earned him legendary status...

In this "important and comprehensive" (New Yorker) guide to statistical thinking, discover how you can use data and mathematics to gain a better understanding of life’s biggest problems. The age of big data has made statistical literacy more important than ever. In The Art of Statistics...

ChatGPT has captivated the public imagination as a digital conversationalist—able to discuss philosophy, crack jokes, write poems, and explain quantum physics on demand. But to stop at conversation is to miss its deeper value. This revolutionary technology is not just a chatbot—it’s a multifunctional tool that can supercharge productivity, creativity, learning, and innovation across countless domains.

From earth's nations and inhabitants, through the fuels and foods that energise them, to the transportation and inventions of our modern world - and how all of this affects the planet itself - in Numbers Don't Lie, Professor Vaclav Smil takes us on a fact-finding adventure, using surprising statistics and illuminating graphs to challenge lazy thinking.

The Instant New York Times Bestseller | With a New Preface from Nate Silver for 2025 New York Times Book Review Paperback Row selection “Engaging and entertaining . . . a glimpse of the economy of the future.” —Tim Wu, New York Times Book Review From the New York Times bestselling author...

Many people take math in high school and promptly forget much of it. But math plays a part in all of our lives all of the time, whether we know it or not. In The Joy of x, Steven Strogatz expands on his hit New York Times series to explain the big ideas of math gently and clearly, with wit, and insight.

For seven years, Paul Lockhart's A Mathematician's Lament enjoyed a samizdat-style popularity in the mathematics underground, before demand prompted its 2009 publication to even wider applause and debate. An impassioned critique of K-12 mathematics education, it outlined how we shortchange students by introducing them to math the wrong way. Here, Lockhart offers the positive side of the math education story by showing us how math should be done. Measurement offers a permanent solution to math phobia by introducing us to mathematics as an artful way of thinking and living.

INSTANT NEW YORK TIMES BESTSELLER “A new masterpiece from one of my favorite authors… [How The World Really Works] is a compelling and highly readable book that leaves readers with the fundamental grounding needed to help solve the world’s toughest challenges.”—Bill Gates ...

Life is uncertain. We are all the result of an unforeseen and unforeseeable sequence of small occurrences. But what underlies this fragile chain of events? Is it random or just complex? And what role does luck play in our lives? David Spiegelhalter has spent his career crunching data in order to help understand uncertainty and assess the chances of what might happen. In The Art of Uncertainty, he gives listeners a window onto how we can all do this better.