検索キーワード： 数学

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.

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.

Two leading data scientists offer an up-close and user-friendly look at artificial intelligence: what it is, how it works, where it came from and how to harness its power for a better world. Dozens of times per day, we all interact with intelligent machines that are constantly learning from the wealth of data now available to them. These machines, from smartphones to talking robots to self-driving cars, are remaking the world in the 21st century in the same way that the Industrial Revolution remade the world in the 19th.

Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. With complicated ideas explained for a broad audience, listeners not only get insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics.

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.

As GTO poker gets more popular, and more solvers become available, it’s more important than ever to fully understand key GTO concepts. So we took our years of GTO solver exploration and distilled the major takeaways that you can actually use. We call these the gems.

It was Richard Feynman's outrageous and scintillating method of teaching that earned him legendary status among students and professors of physics. From 1961 to 1963, Feynman delivered a series of lectures at the California Institute of Technology that revolutionized the teaching of physics around the world. Six Easy Pieces, taken from these famous Lectures on Physics, represent the most accessible material from the series.

What Are the Odds? is your intro to understanding the hidden mathematics of everyday life. From coin flips to casinos, lightning strikes to love stories, this book walks the line between probability and poetry—bringing clarity to the chaos and calm to the randomness. Through twelve sharp chapters (plus a bonus finale), JJ cracks open real-life situations with statistical insight, humor, and heart. You'll learn why the coin isn't fair, why streaks are a lie, and how even your tiniest decisions might ripple through the universe in ways you’ll never see coming. No math degree required. No charts.

Mathematical Mindset in Appreciative Pedagogy Hosted on Acast. See acast.com/privacy for more information.

Levitt and co-author Stephen J. Dubner show that economics is, at root, the study of incentives: how people get what they want, or need, especially when other people want or need the same thing. In Freakonomics, they explore the hidden side of...well, everything. The inner working of a crack gang...the truth about real-estate agents...the secrets of the Klu Klux Klan. What unites all these stories is a belief that the modern world is even more intriguing than we think. All it takes is a new way of looking, and Freakonomics will redefine the way we view the modern world.

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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.

Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia's views on crime and punishment, the psychology of slime molds, what Facebook can and can't figure out about you, and the existence of God.

Nate Silver built an innovative system for predicting baseball performance, predicted the 2008 election within a hair’s breadth, and became a national sensation as a blogger - all by the time he was 30. He solidified his standing as the nation's foremost political forecaster with his near perfect prediction of the 2012 election. Silver is the founder and editor in chief of the website FiveThirtyEight. Drawing on his own groundbreaking work, Silver examines the world of prediction, investigating how we can distinguish a true signal from a universe of noisy data.

Mathematical Mindsets provides practical strategies and activities to help teachers and parents show all children, even those who are convinced that they are bad at math, that they can enjoy and succeed in math. Jo Boaler - Stanford researcher, professor of math education, and expert on math learning - has studied why students don't like math and often fail in math classes. She's followed thousands of students through middle and high schools to study how they learn and to find the most effective ways to unleash the math potential in all students.

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_

＼Apple Podcast数学カテゴリで「1位」獲得！／ 東進ハイスクール・山之内聖拡先生＆アシスタントのヒロが、みなさんの勉強の悩みに答えます！聞いてほしい悩みがある人は、次のフォーム、もしくはコメントやTwitterで教えてくださいね！ ●質問フォーム https://forms.gle/dD3oE5tcQ7fmDD4j7

数学が苦手な人も楽しめる数学の話です。podcastとyoutubeで配信しています。 Twitter: https://twitter.com/waku2mathtalk Podcast: https://podcasters.spotify.com/pod/show/wakuwaku-math-talk Youtube: https://www.youtube.com/@math-talk

What's the Use? asks why there is such a vast gulf between public perceptions of mathematics and reality. It shows how mathematics is vital, often in surprising ways, behind the scenes of daily life. How politicians pick their voters. How an absurd little puzzle solved 300 years ago leads to efficient methods for kidney transplants. How an Irish mathematician's obsession with a new number system improves special effects in movies and computer games. How SatNav relies on at least six mathematical techniques.

Exploring and explaining a litany of glitches, near misses, and mathematical mishaps involving the internet, big data, elections, street signs, lotteries, the Roman Empire, and an Olympic team, Matt Parker uncovers the bizarre ways math trips us up, and what this reveals about its essential place in our world. Getting it wrong has never been more fun.

Inventare la Matematica - Storie di matematiche e matematiciLa serie, prodotta dal Laboratorio FDS del Dipartimento di Matematica in collaborazione con METID - Politecnico di Milano, ha come obiettivo la divulgazione della matematica - senza formule - attraverso le biografie di alcuni dei suoi protagonisti, non tutti noti al grande pubblico. Le prime 4 puntate sono dedicate a quattro grandi matematiche, tutte vissute prima che la carriera accademica fosse aperta alle donne. Ogni puntata ne presenta i tratti essenziali e ne approfondisce in modo semplice, in forma di dialogo con un esperto, ...

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 not in our favor. Life is full of uncertainty - indeed, scientific advances indicate that the universe might be fundamentally inexact - and humans are terrible at guessing. When asked to predict the outcome of a chance event, we are almost always wrong.

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.

In A Mind for Numbers, Dr. Oakley lets us in on the secrets to learning effectively - secrets that even dedicated and successful students wish they’d known earlier. Contrary to popular belief, math requires creative, as well as analytical, thinking. Most people think that there’s only one way to do a problem, when in actuality, there are often a number of different solutions - you just need the creativity to see them.

Work with data like a pro using this guide that breaks down how to organize, apply, and most importantly, understand what you are analyzing in order to become a true data ninja.

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.

Why are men in charge? After years in the male-dominated field of mathematics and in the female-dominated field of art, Eugenia Cheng has heard the question many times. In x + y, Cheng argues that her mathematical specialty - category theory - reveals why. Category theory deals more with context, relationships, and nuanced versions of equality than with intrinsic characteristics. Category theory also emphasizes dimensionality: much as a cube can cast a square or diamond shadow, depending on your perspective, so too do gender politics appear to change with how we examine them.

This 10-part history of mathematics reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Explore the deadly elegance of finance's hidden powerhouse. The Money Formula takes you inside the engine room of the global economy to explore the little-understood world of quantitative finance, and show how the future of our economy rests on the backs of this all-but-impenetrable industry. This book traces the development of financial derivatives from bonds to credit default swaps, and shows how mathematical formulas went beyond pricing to expand their use to the point where they dwarfed the real economy.

Trois fois par semaine, en direct puis en podcast, on explore ensemble l’actualité scientifique, les mystères du vivant, les grandes découvertes et les petits détails qui changent tout.🌍 Chaque épisode est une plongée accessible et captivante dans les coulisses de la recherche, les mythes de la pop culture, et les dilemmes éthiques d’un monde en mutation.Au programme :🔬 Brèves scientifiques qui claquent,🧠 Décryptages de concepts complexes avec douceur,📚 Dossiers de fond, anecdotes de savants oubliés,🎥 Et même des incursions dans le cinéma, la musique ou la SF....