検索キーワード： 数学

In Simply Gödel, Richard Tieszen traces Kurt Gödel’s life and career, from his early years in tumultuous, culturally rich Vienna to his many brilliant achievements as a member of IAS, as well as his repeated battles with mental illness. In discussing Gödel’s ideas, Tieszen not only provides an accessible explanation of the incompleteness theorems, but explores some of his lesser known writings, including his thoughts on time travel and his proof of the existence of God.

Number theory is the branch of mathematics that is primarily concerned with the counting numbers. Of particular importance are the prime numbers, the "building blocks" of our number system. The subject is an old one, dating back over two millennia to the ancient Greeks, and for many years has been studied for its intrinsic beauty and elegance, not least because several of its challenges are so easy to state that everyone can understand them, and yet no one has ever been able to resolve them. But number theory has also recently become of great practical importance.

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.

Statistics is used in almost every field and industry imaginable. From healthcare to finance to marketing, statistics are used to make important decisions, identify patterns and trends, and predict future outcomes. Without a basic understanding of statistics, it's easy to be left behind and taken advantage of.

Discover how mathematics is revolutionizing natural language processing. In this newsletter, we explore the mathematical models that underpin the understanding, analysis, and generation of text. Learn how algorithms transform raw data into useful information, and how mathematical concepts such as probability, linear algebra, and statistics play a key role in the development of linguistic technologies. Whether you're a professional in the field or simply curious, follow our analyses to better understand the advancements in this rapidly growing sector.

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.

Games are everywhere: Drivers maneuvering in heavy traffic are playing a driving game. Bargain hunters bidding on eBay are playing an auctioning game. The supermarket's price for corn flakes is decided by playing an economic game. This Very Short Introduction offers a succinct tour of the fascinating world of game theory, a groundbreaking field that analyzes how to play games in a rational way.

Math has a reputation for being inaccessible. People think that it requires a special gift or that comprehension is a matter of genes. Yet, the greatest mathematicians throughout history, from Rene Descartes to Alexander Grothendieck, have insisted that this is not the case.

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.

Dark Data explores the many ways in which we can be blind to missing data and how that can lead us to conclusions and actions that are mistaken, dangerous, or even disastrous. Examining a wealth of real-life examples, from the Challenger shuttle explosion to complex financial frauds, Hand gives us a practical taxonomy of the types of dark data that exist and the situations in which they can arise, so that we can learn to recognize and control for them.

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.

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.

In Fluke, mathematician Joseph Mazur takes a second look at the seemingly improbable, sharing with us an entertaining guide to the most surprising moments in our lives. He takes us on a tour of the mathematical concepts of probability, such as the law of large numbers and the birthday paradox, and combines these concepts with lively anecdotes of flukes from around the world. How do you explain finding your college copy of Moby Dick in a used bookstore on the Seine on your first visit to Paris?

A fascinating guided tour of the complex, fast-moving, and influential world of algorithms - what they are, why they’re such powerful predictors of human behavior, and where they’re headed next. Algorithms exert an extraordinary level of influence on our everyday lives - from dating websites and financial trading floors, through to online retailing and internet searches - Google's search algorithm is now a more closely guarded commercial secret than the recipe for Coca-Cola.

CervellAi is a podcast where artificial intelligence meets human insight. Produced by Carlos Andrés Morales Machuca, each episode explores key concepts like embeddings, neural networks, and ethical AI—making complex ideas accessible to curious minds. Whether you're a tech professional or just AI-curious, CervellAi connects the dots between innovation, impact, and understanding.

„Matematica Divină a Sufletului” este o emisiune realizată de Mădălin Dumitru, împreună cu numerologul Andrei Mirea, care aduce în prim-plan tainele numerelor și legătura lor cu sufletul și destinul. În fiecare episod, descifrăm codurile ascunse din spatele cifrelor și modul în care acestea pot influența viața, relațiile și călătoria interioară a fiecăruia dintre noi.

Life is full of uncertainty. You don't know what lies ahead. But you can learn to control the controllable by using logic and reason. With the help of this book, you'll discover new ways to think about - and solve - problems more efficiently than ever before. Discover how strategic games model real-life behavior.

Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887.... This curious mathematical relationship, widely known as "The Golden Ratio", was discovered by Euclid more than 2,000 years ago. Since then it has shown a propensity to appear in the most astonishing variety of places.

René Descartes is one of the formative figures in Western philosophy, logic and mathematics. His famous statement: "I think, therefore I am," has become perhaps the most famous phrase in all of philosophy. Descartes’s ground-breaking writings attempted to establish unshakeable foundations of knowledge, and set a trend for subsequent Western philosophy, which has endlessly critiqued and expanded upon his ideas.

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.