検索キーワード： 数学

Why do Internet, financial service, and beer commercials dominate Super Bowl advertising? How do political ceremonies establish authority? Why does repetition characterize anthems and ritual speech? Why were circular forms favored for public festivals during the French Revolution? This book answers these questions using a single concept: common knowledge.

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.

Bestseller over cijfers en feiten. Wat is nu de gemiddelde levensverwachting in de wereld? Hoeveel meisjes maken de basisschool af? Welk percentage van de wereldbevolking leeft in armoede? Op eenvoudige vragen over wereldwijde trends geven we systematisch de verkeerde antwoorden. Het is zelfs zo erg dat een chimpansee die willekeurig antwoorden kiest consequent leraren, journalisten, Nobelprijswinnaars en studenten overtreft. In Feitenkennis legt hoogleraar Internationale Gezondheid en wereldfenomeen Hans Rosling uit waarom dit gebeurt.

È vero che sono i più capaci ad avere successo nella vita? Questo audiolibro parla della fortuna. O meglio, del ruolo che gioca il caso nella nostra vita in generale, nei nostri affari in particolare. Ma parla anche di quella fortuna che, non essendo percepita come tale, viene scambiata per abilità: una confusione presente in molteplici campi, dalla scienza alla politica, dall'arte alla finanza. Quante volte abbiamo visto un idiota baciato dalla fortuna trovarsi nel posto giusto al momento giusto, dimostrazione vivente della "sopravvivenza del meno adatto"?

Qu’est-ce que le savoir mathématique ? À quoi sert une théorie mathématique ? Et qu’est-ce que faire des mathématiques ? La nature et l’objet des mathématiques restent bien mystérieux, et celles-ci apparaissent souvent abstraites. Les mathématiques ont pourtant une notion bien définie du vrai : est vrai ce qui est démontré. Pour les besoins de la démonstration, précisément, les mathématiques usent d’outils.

En 1637, Descartes révolutionne la manière que l'on a de faire de la géométrie : il pose les bases de ce que l'on appelle la "géométrie algébrique", qui associe, à chaque point de l'espace, 3 coordonnées. Cela permet de résoudre des problèmes géométriques avec des outils algébriques. Cette géométrie est dite "commutative", c'est-à-dire que le produit de deux quantités ne dépend pas de l'ordre des termes : A × B = B × A. Cette propriété est fondamentale, et l'ensemble de l'édifice mathématique en dépend.

Against the odds, John Urschel found a way to manage his double life as a scholar and an athlete. While he was an offensive lineman for the Baltimore Ravens, he simultaneously pursued his PhD in mathematics at MIT. This is his story.

In this eye-opening and extraordinary audiobook, Yates explores the true stories of life-changing events in which the application - or misapplication - of mathematics has played a critical role: patients crippled by faulty genes and entrepreneurs bankrupted by faulty algorithms; innocent victims of miscarriages of justice and the unwitting victims of software glitches. We follow stories of investors who have lost fortunes and parents who have lost children, all because of mathematical misunderstandings.

Science and maths have never been the preserve of lone geniuses: collaboration has always been at the heart of intellectual endeavour. But to this day, men like Einstein remain the pervasive archetype of genius and the intellectual contributions of women past and present have gone unacknowledged. x+y is one mathematician's manifesto for how we can fix that - and why that requires rethinking how we think about thinking itself.

Wry, witty and humane, Goodwin explains mathematical subtleties so painlessly that you hardly need to think about numbers at all. He demonstrates how statistics that are meant to make life simpler often make it simpler than it actually is, but also reveals some of the ways we can use maths to make better decisions. Along the way we learn about fitness tracking, the history of IQ testing, China's social credit system, Effective Altruism, and how someone should have noticed that Harold Shipman was killing his patients years before they actually did.

Michael Schneider leads us on a spectacular journey along the numbers one through 10 to explore the mathematical principles made visible in flowers, shells, crystals, plants, and the human body, expressed in the symbolic language of folk sayings and fairy tales, myth and religion, art and architecture. This is a new view of mathematics, not the one we learned at school but a comprehensive guide to the patterns that recur through the universe and underlie human affairs.

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.

In 1999, Texas passed a landmark clean energy law, beginning a groundswell of new policies that promised to make the US a world leader in renewable energy. As Leah Stokes shows in Short Circuiting Policy, however, that policy did not lead to momentum in Texas, which failed to implement its solar laws or clean up its electricity system. Examining clean energy laws in Texas, Kansas, Arizona, and Ohio over 30 years Stokes argues that organized combat between advocate and opponent interest groups is central to explaining why states are not on track to address the climate crisis.

Humans are pattern-matching creatures, and astrology is the universe's grandest pattern-matching game. In this refreshing work of history and analysis, data scientist Alexander Boxer examines classical texts on astrology to expose its underlying scientific and mathematical framework.

A squared plus b squared equals c squared. It sounds simple, doesn’t it? Yet this familiar expression opens a gateway into the riotous garden of mathematics, and sends us on a journey of exploration in the company of two inspired guides, Robert and Ellen Kaplan. With wit, verve, and clarity, they trace the life of the Pythagorean theorem, from ancient Babylon to the present, visiting along the way Leonardo da Vinci, Albert Einstein, President James Garfield, and the Freemasons - not to mention the elusive Pythagoras himself.

One of the great insights of science is that the universe has an underlying order. The supreme goal of physicists is to understand this order through laws that describe the behavior of the most basic particles and the forces between them. For centuries, we have searched for these laws by studying the results of experiments. Since the 1970s, however, experiments at the world's most powerful atom-smashers have offered few new clues. So some of the world's leading physicists have looked to a different source of insight: modern mathematics.

For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two prodigies ultimately proved that the quintic cannot be solved by a simple formula. The first popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.

In the 18th century, the British minister and mathematician Thomas Bayes devised a theorem that allowed him to assign probabilities to events that had never happened before. It languished in obscurity for centuries until computers came along and made it easy to crunch the numbers. Now, as the foundation of big data, Bayes's formula has become a linchpin of the digital economy. But here's where things get interesting: Bayes's theorem can also be used to lay odds on the existence of extraterrestrial intelligence, and on the biggest question of all: how long will humanity survive?

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.

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.