検索キーワード： 数学

The official podcast of the Santa Fe Institute. Subscribe now and be part of the exploration!

Nearly a hundred years after its publication, Kurt Gödel's famous proof that every mathematical system must contain propositions that are true - yet never provable - continues to unsettle mathematics, philosophy, and computer science. Yet unlike Einstein, with whom he formed a warm and abiding friendship, Gödel has long escaped all but the most casual scrutiny of his life.

Every time we choose a route to work, decide whether to go on a second date, or set aside money for a rainy day, we are making a prediction about the future. Yet from the global financial crisis to 9/11 to the Fukushima disaster, we often fail to foresee hugely significant events. In The Signal and the Noise, the New York Times' political forecaster and statistics guru Nate Silver explores the art of prediction, revealing how we can all build a better crystal ball.

Storytelling with Data teaches you the fundamentals of data visualization and how to communicate effectively with data. You'll discover the power of storytelling and the way to make data a pivotal point in your story. The lessons in this illuminative text are grounded in theory but made accessible through numerous real-world examples - ready for immediate application to your next graph or presentation.

You may have watched hundreds of episodes of The Simpsons (and its sister show Futurama) without ever realising that they contain enough maths to form an entire university course. In The Simpsons and Their Mathematical Secrets, Simon Singh explains how the brilliant writers, some of the mathematicians, have smuggled in mathematical jokes throughout the cartoon’s 25-year history, exploring everything from p to Mersenne primes, from Euler’s equation to the unsolved riddle of P vs. NP, from perfect numbers to narcissistic numbers and much more.

待望の数学系Podcast٩( ᐛ )و 人よりちょっと数学を使いこなしてきたゆとと、数学の雑学やクイズを楽しむラジオです。高IQのくせにぜんぜん間違ってたり、いい感じにひらめいたりする思考プロセスをそのままお届けします。 ※番組名を「ゆる数学ラジオ」から「ゆるい数学脳トレラジオ」に変更しております。 ▽友人との2人数学トーク「ゆる数学ラジオ」はこちら ・Spotify https://spoti.fi/3or1hSE ・Apple https://apple.co/35Sgnue ▽その他ゆとが...

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.

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.

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.

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.

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.

It used to be that to diagnose an illness, interpret legal documents, analyze foreign policy, or write a newspaper article you needed a human being with specific skills - and maybe an advanced degree or two. These days, high-level tasks are increasingly being handled by algorithms that can do precise work not only with speed but also with nuance. These "bots" started with human programming and logic, but now their reach extends beyond what their creators ever expected.

The study of geometry is at least 2500 years old, and it is within this field that the concept of mathematical proof first arose. To this day geometry remains a very active area of research in mathematics. This Very Short Introduction covers the areas of mathematics falling under geometry, starting with topics such as Euclidean and non-Euclidean geometries, and ranging to curved spaces, projective geometry in Renaissance art, and geometry of space-time inside a black hole. Throughout, Maciej Dunajski outlines the role geometry plays in the broader context of science and art.

For mathematician Francis Su, a society without mathematical affection is like a city without concerts, parks, or museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a wide audience but especially for those disenchanted by their past experiences, an award-winning mathematician and educator weaves parables, puzzles, and personal reflections to show how mathematics meets basic human desires - such as for play, beauty, freedom, justice, and love.

数学についてや日々感じたことについて発信していきます。 Twitter：@yuji_ogura_

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

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.

At its simplest, Bayes’s theorem describes the probability of an event, based on prior knowledge of conditions that might be related to the event. But in Everything Is Predictable, Tom Chivers lays out how it affects every aspect of our lives. He explains why highly accurate screening tests can lead to false positives and how a failure to account for it in court has put innocent people in jail. A cornerstone of rational thought, many argue that Bayes’s theorem is a description of almost everything. But who was the man who lent his name to this theorem?

When was the last time you read a grand statement, accompanied by a large number and wondered whether it could really be true? Statistics are vital in helping us tell stories - we see them in the papers, on social media and we hear them used in everyday conversation - and yet we doubt them more than ever. But numbers - in the right hands - have the power to change the world for the better. Contrary to popular belief, good statistics are not a trick, although they are a kind of magic.

We have never had so much information at our fingertips, and yet most of us simply don't understand how our world really works. Professor Vaclav Smil is not a pessimist or an optimist, he is a scientist, and this book is a much-needed reality check on topics ranging from food production and nutrition, through energy and the environment, to globalisation and the future. For example, the carbon footprint of meat is well known, but did you know that the equivalent of five tablespoons of diesel fuel goes into the production of each greenhouse-grown, medium-size, supermarket-bought tomato?