検索キーワード： 数学

Gottfried Wilhelm Leibniz was a "universal genius" who ranged across many fields and made breakthroughs in most of them. Leibniz invented calculus (independently from Isaac Newton), conceptualized the modern computer, and developed the famous thesis that the existing world is the best that God could have created.

Bayes' rule appears to be a straightforward, one-line theorem: by updating our initial beliefs with objective new information, we get a new and improved belief. To its adherents, it is an elegant statement about learning from experience. To its opponents, it is subjectivity run amok. Sharon Bertsch McGrayne here explores this controversial theorem and the human obsessions surrounding it.

¿Qué son las matemáticas? ¿Para qué sirven? ¿Por qué es importante conocer su historia? Estas son algunas de las preguntas a las que da respuesta esta obra que nos narra de forma concisa la historia de esta ciencia desde la Prehistoria hasta nuestros días. Pero esta narración no es solamente una superposición de personajes históricos y de sus felices descubrimientos, sino que es una reivindicación de los componentes emocionales, incluso irracionales, que muchas veces han acompañado las actitudes apasionadas de estos célebres personajes, empeñados en buscar soluciones...

For going on two decades, Scientific American’s “Ask the Experts” column has been answering reader questions on all fields of science. We’ve taken your questions from the basic to the esoteric and reached out to top scientists, professors, and researchers to find out why the sky is blue or whether we really only use 10 percent of our brains. Now, we’ve combed through our archives and have compiled some of the most interesting questions (and answers) into a series of books.

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, David...

Why does your weather app say “there’s a 10 percent chance of rain” instead of “it will be sunny”? In large part, this is due to the insight of award-winning physicist Tim Palmer, who pioneered the introduction of uncertainty into weather and climate prediction. Now, he wants to apply it to how we study everything else.

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.

Hello World takes us on a tour through the good, the bad, and the downright ugly of the algorithms that surround us on a daily basis. Mathematician Hannah Fry reveals their inner workings, showing us how algorithms are written and implemented, and demonstrates the ways in which human bias can literally be written into the code. By weaving in relatable, real world stories with accessible explanations of the underlying mathematics that power algorithms, Hello World helps us to determine their power, expose their limitations, and examine whether they really are improvements.

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

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

Logic is often perceived as having little to do with the rest of philosophy, and even less to do with real life. In this lively and accessible introduction, Graham Priest shows how wrong this conception is. He explores the philosophical roots of the subject, explaining how modern formal logic deals with issues ranging from the existence of God and the reality of time to paradoxes of probability and decision theory. Along the way, the basics of formal logic are explained in simple, non-technical terms, showing that logic is a powerful and exciting part of modern philosophy.

Darrell Huff's celebrated classic How to Lie With Statistics is a straightforward and engaging guide to understanding the manipulation and misrepresentation of information that could be lurking behind every graph, chart, and infographic. Originally published in 1954, it remains as relevant and necessary as ever in our digital world, where information is king - and as easy to distort and manipulate as it is to access.

A rich, narrative explanation of the mathematics that has brought us machine learning and the ongoing explosion of artificial intelligence Machine learning systems are making life-altering decisions for us: approving mortgage loans, determining whether a tumour is cancerous, or deciding whether...

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.

It's in every photo you post to Instagram, every Google search you make and every prompt you give to ChatGPT . . . Big Math - the branch of modern mathematics behind our digital revolution - operates under the hood of these everyday miracles, driving the biggest shifts in how we shop...

NEW YORK TIMES BESTSELLER The groundbreaking exploration of probability and uncertainty that explains how to make better predictions in a world drowning in data, from the nation’s foremost political forecaster—updated with insights into the pandemic, journalism today, and polling One of...

Brought to you by Penguin. Is flying dangerous? How much do the world's cows weigh? And what makes people happy? From earth's nations and inhabitants, through the fuels and foods that energize them, to the transportation and inventions of our modern world - and how all of this affects the planet...

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.

'Fresh, clever and playful . . . an absorbing book' MATT RIDLEY, AUTHOR OF THE ORIGINS OF VIRTUE 'A wonderful book' YOAV SHOHAM, STANFORD UNIVERSITY 'Michael explains the complex, strategic structures of our world with masterful beauty' - MILIND TAMBE, HARVARD UNIVERSITY 'Effortlessly covers a...

Space is big. Really big. You just won't believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it's a long way down the street to the chemist, but that's just peanuts to space.' Douglas Adams, Hitch-hiker's Guide to the Galaxy.We human beings have trouble with infinity - yet infinity is a surprisingly human subject. Philosophers and mathematicians have gone mad contemplating its nature and complexity - yet it is a concept routinely used by schoolchildren. Exploring the infinite is a

The inside story of Lean, a computer program that answers the age-old question: How do you know if something is true? It began as an obscure bug-checking program at Microsoft Research developed by a lone computer engineer named Leo de Moura. Then an unlikely crew of mathematical misfits caught...

In this Very Short Introduction Philip K. Maini describes the art of modeling, what it is, why we do it, and illustrates how the abstract way of thinking that is the essence of mathematics enables us to transfer knowledge from one area of research to another.

Starting with hands, abacus, and slide rule, humans have always reached for tools to simplify math. Pocket-sized calculators ushered in modern mathematics, helped build the atomic bomb, took us to the bottom of the ocean, and accompanied us to the moon. The pocket calculator changed our world, until it was supplanted by more modern devices that, in a cruel twist of irony, it helped to create. Keith Houston transports listeners from the nascent economies of the ancient world to World War II, and into the technological arms race that led to the first affordable electronic pocket calculators.

＜概要＞ 数学は、自然の法則を表現するための美しい言語です。 このポッドキャストでは、数学の基礎から応用まで様々なテーマを取り扱い、数学の魅力をお伝えします。数学が好きな人も、苦手意識を持っている人も、ぜひ数学の魅力に触れてみてください。 ＜初めての方へ＞ 数学沼ラジオのトピックレベルを知りたい場合　→　#1 みんな知ってる数学をさらに深堀りしたい場合　→　#6 日常生活の中でもっと数学を感じたい場合　　　→...

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.

Shortlisted for the William Hill Sports Book of the Year Award 2022 Football has always measured success by what you win, but only in the last twenty years have clubs started to think about how you win. Data has now suffused almost every aspect of how football is played, coached, scouted and...

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_

Probing the life and work of Kurt Gödel, Incompleteness indelibly portrays the tortured genius whose vision rocked the stability of mathematical reasoning—and brought him to the edge of madness.

We all know that numbers go on forever, that you could spend your life counting and never reach the end of the line, so there can’t be such a thing as a "biggest number". Or can there? To find out, David Darling and Agnijo Banerjee embark on an epic quest, revealing the answers to questions like: are there more grains of sand on Earth or stars in the universe? Is there enough paper on Earth to write out the digits of a googolplex? And what is a googolplex? Then things get serious.

Numbers. Like the alphabet, they’re one of the most elementary of concepts learned and memorized at a young age; but outside of figuring out tips and taxes, you probably haven’t given much thought to them since then. To a mathematician, every number has its own unique properties and personality - and when studied, played with, and manipulated, numbers can actually be tons of fun.