検索キーワード： 数学

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.

If you've ever sought a job or hired someone, applied to college or guided your child into a good kindergarten, asked someone out on a date or been asked out, you've participated in a kind of market. Most of the study of economics deals with commodity markets, where the price of a good connects sellers and buyers. But what about other kinds of "goods," like a spot in the Yale freshman class or a position at Google?

Today, number crunching affects your life in ways you might never imagine. In this lively and groundbreaking new audiobook, economist Ian Ayres shows how today's best and brightest organizations are analyzing massive databases at lightening speed to provide greater insights into human behavior. They are the Super Crunchers.

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.

These stories from Quanta Magazine map the routes of mathematical exploration, showing listeners how cutting-edge research is done, while illuminating the productive tension between conjecture and proof, theory and intuition. Listeners of The Prime Number Conspiracy are headed on "breathtaking intellectual journeys to the bleeding edge of discovery strapped to the narrative rocket of humanity's never-ending pursuit of knowledge," says Quanta editor-in-chief Thomas Lin.

Welcome to the Brain Training Podcast, the daily audio workout for your head. In this podcast we have two games for you, each with three rounds which get progressively harder. To enjoy the full experience, relax, and avoid distractions whilst you listen. Hosted on Acast. See acast.com/privacy for more information.

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

Brian Clegg was always fascinated by Isaac Asimov's classic Foundation series of books, in which the future is predicted using sophisticated mathematical modelling of human psychology and behaviour. Only much later did he realise that Asimov's 'psychohistory' had a real-world equivalent: game theory. Originating in the study of probabilistic gambling games that depend on a random source—the throw of a dice or the toss of a coin—game theory soon came to be applied to human interactions: essentially, what was the best strategy to win, whatever you were doing?

Numbers are integral to our everyday lives and factor into almost everything we do. In this Very Short Introduction audiobook, Peter M. Higgins, a renowned popular-science writer, unravels the world of numbers, demonstrating its richness and providing an overview of all the number types that feature in modern science and mathematics.

La plupart des gens aiment les maths. L'ennui, c'est qu'ils ne le savent pas. Dans les temps préhistoriques, les maths sont nées pour être utiles. Les nombres servaient à compter les moutons d'un troupeau. La géométrie permettait de mesurer les champs et de tracer des routes. L'histoire aurait pu en rester là, mais au fil des siècles, les Homo sapiens furent bien étonnés de découvrir les chemins sinueux de cette science parfois abstraite.

Maps Are Everywhere. These are conversations with those building them.

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.

Do you know your fractions from your percentages? Your adjacent to your hypotenuse? And who really knows how to do long division, anyway? Puzzled already? Don’t blame you.... But fret not! You won’t be At Sixes and Sevens for long. In this brilliant, well-rounded guide, Countdown's Rachel Riley will take you back to the very basics, allow you to revisit what you learnt at school (and may have promptly forgotten, *ahem*), build your understanding of maths from the get-go and provide you with the essential toolkit to gain confidence in your numerical abilities.

Boolean algebra, also called Boolean logic, is at the heart of the electronic circuitry in everything we use - from our computers and cars, to our kitchen gadgets and home appliances. How did a system of mathematics established in the Victorian era become the basis for such incredible technological achievements a century later?

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.

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.

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.

In this Very Short Introduction audiobook, Richard Earl gives a sense of the more visual elements of topology (looking at surfaces) as well as covering the formal definition of continuity. Considering some of the eye-opening examples that led mathematicians to recognize a need for studying topology, he pays homage to the historical people, problems, and surprises that have propelled the growth of this field.

Behind the familiar surfaces of the telephone, radio, and television lies a sophisticated and intriguing body of knowledge known as information theory. This is the theory that has permitted the rapid development of all sorts of communication, from color television to the clear transmission of photographs from the vicinity of Jupiter. Even more revolutionary progress is expected in the future.

Numeri, figure geometriche e relazioni matematiche sono dovunque attorno a noi, talvolta in forma evidente, più spesso annidati nei meccanismi di funzionamento dell'universo. Ma in che modo - e perché - queste creazioni astratte della mente umana riescono a descrivere il mondo concreto dei fenomeni naturali, da quelli più familiari a quelli che hanno luogo nelle profondità della materia e del cosmo? Un filosofo e uno scienziato esplorano la capillare presenza della matematica nella natura, raccontando alcune delle sue manifestazioni più curiose e affascinanti.