Showing results for title "World" in Mathematics

Trigonometry is perhaps the most essential concept humans have ever devised. The simple yet versatile triangle allows us to record music, map the world, launch rockets into space, and be slightly less bad at pool. Triangles underpin our day-to-day lives and civilization as we know it. In Love Triangle, Matt Parker argues we should all show a lot more love for triangles, along with all the useful trigonometry and geometry they enable.

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.

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.

At its simplest, Bayes’s theorem describes the probability of an event, based on prior knowledge of conditions that might be related to the event. But in Everything Is Predictable, Tom Chivers lays out how it affects every aspect of our lives. He explains why highly accurate screening tests can lead to false positives and how a failure to account for it in court has put innocent people in jail. A cornerstone of rational thought, many argue that Bayes’s theorem is a description of almost everything.

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.

It used to be that to diagnose an illness, interpret legal documents, analyze foreign policy, or write a newspaper article you needed a human being with specific skills - and maybe an advanced degree or two. These days, high-level tasks are increasingly being handled by algorithms that can do precise work not only with speed but also with nuance. These "bots" started with human programming and logic, but now their reach extends beyond what their creators ever expected.

Change Is the Only Constant is an engaging and eloquent exploration of the intersection between calculus and daily life, complete with Orlin's sly humor and wonderfully bad drawings.

Why aren't left-handers extinct? What makes a rainbow round? How is a pancreas...like a pendulum? These may not look like math questions, but they are - because they all have to do with patterns. And mathematics, at heart, is the study of patterns. That realization changed Eddie Woo's life - by turning the "dry" subject he dreaded in high school into a boundless quest for discovery. Now an award-winning math teacher, Woo sees patterns everywhere: in the "branches" of blood vessels and lightning, in the growth of a savings account and a sunflower, even in his morning cup of tea!

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.

When Hungarian professor Erno Rubik invented the Rubik's Cube (or, rather, his Cube) in the 1970s out of wooden blocks, rubber bands, and paper clips, he didn't even know if it could be solved, let alone that it would become the world's most popular puzzle. Since its creation, the Cube has become many things to many people: one of the best-selling children's toys of all time, a symbol of intellectual prowess, a frustrating puzzle with 43.2 quintillion possible permutations, and now a worldwide sporting phenomenon.

Think of a number between one and 10. No, hang on, let's make this interesting. Between zero and infinity. Even if you stick to the whole numbers, there are a lot to choose from - an infinite number in fact. Throw in decimal fractions, and infinity suddenly gets an awful lot bigger (is that even possible?). And then there are the negative numbers, the imaginary numbers, the irrational numbers like pi which never end. It literally never ends.

We play games to learn about the world, to understand our minds and the minds of others, and to make predictions about the future. Games are an essential aspect of humanity and a powerful tool for modeling reality. They’re also a lot of fun. But games can be dangerous, especially when we mistake the model worlds of games for reality itself and let gamification co-opt human decision making. Playing with Reality explores the riveting history of games since the Enlightenment.

Factfulness: The stress-reducing habit of carrying only opinions for which you have strong supporting facts. When asked simple questions about global trends - what percentage of the world's population live in poverty; why the world's population is increasing; how many girls finish school - we systematically get the answers wrong. In Factfulness, professor of international health and global TED phenomenon Hans Rosling, together with his two longtime collaborators, Anna and Ola, offers a radical new explanation of why this happens.

Vaclav Smil's mission is to make facts matter. An environmental scientist, policy analyst, and a hugely prolific author, he is Bill Gates' go-to guy for making sense of our world. In Numbers Don't Lie, Smil answers questions such as: What's worse for the environment - your car or your phone? How much do the world's cows weigh (and what does it matter)? And what makes people happy?

Nathaniel Tilton was leading an ordinary existence in his early30s as a financial advisor in Boston. Then, without a destination in mind, he set out to experience life in more meaningful ways. His path was forged when he met famed MIT blackjack team member Semyon Dukach, who inspired Nathaniel to become a world-class blackjack player.

In a world where fake news stories change election outcomes, has rationality become futile? In The Art of Logic in an Illogical World, Eugenia Cheng throws a lifeline to listeners drowning in the illogic of contemporary life.

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.

Spanning millennia, oceans and continents, countries and cultures, Around the World in Eighty Games gleefully explores how mathematics and games have always been deeply intertwined. Renowned mathematician Marcus du Sautoy investigates how games provided the first opportunities for deep mathematical insight into the world, how understanding math can help us play games better, and how both math and games are integral to human psychology and culture.

On August 10, 1632, five men in flowing black robes convened in a somber Roman palazzo to pass judgment on a deceptively simple proposition: that a continuous line is composed of distinct and infinitely tiny parts. With the stroke of a pen the Jesuit fathers banned the doctrine of infinitesimals, announcing that it could never be taught or even mentioned. The concept was deemed dangerous and subversive, a threat to the belief that the world was an orderly place, governed by a strict and unchanging set of rules.

One night in 1661, Nicholas Fouquet, a superintendent under Louis XIV, was arrested. His crime was peculiar: He had dared to construct a grand geometrical garden. In doing so, he violated an irrefutable hierarchy: that geometry, in its perfection, was a testament to divine right. The elegant, symmetrical designs were more than just ornament; they were proofs of incontestable certainty, and thus the authority to rule. But how did the French royalty fall in love with this peculiar landscape design? Wherefore Versailles?