Showing titles in Mathematics

Mathematics shapes almost everything we do. But despite its reputation as the study of fundamental truths, the stories we have been told about it are wrong—warped like the sixteenth-century map that enlarged Europe at the expense of Africa, Asia and the Americas. In The Secret Lives of Numbers, renowned math historian Kate Kitagawa and journalist Timothy Revell make the case that the history of math is infinitely deeper, broader, and richer than the narrative we think we know.

Were it not for the calculus, mathematicians would have no way to describe the acceleration of a motorcycle or the effect of gravity on thrown balls and distant planets, or to prove that a man could cross a room and eventually touch the opposite wall. Just how calculus makes these things possible and in doing so finds a correspondence between real numbers and the real world is the subject of this dazzling book by a writer of extraordinary clarity and stylistic brio.

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.

Are there universal laws of life and can we find them? Is there a physics of society, of ecology, of evolution? Join us for six episodes of thought-provoking insights on the physics of life and its profound implications on our understanding of the universe. In this season of the Santa Fe Institute’s Complexity podcast’s relaunch, we talk to researchers who have been exploring these questions and more through the lens of complexity science. Subscribe now and be part of the exploration!

Rich tasks, collaborative work, number talks, problem-based learning, direct instruction…with so many possible approaches, how do we know which ones work the best? In Visible Learning for Mathematics, six acclaimed educators assert it’s not about which one—it’s about when—and show you how to design high-impact instruction so all students demonstrate more than a year’s worth of mathematics learning for a year spent in school.

If you move at high speed, time slows down, space squashes up, and you get heavier. Travel fast enough and you could weigh as much as a jumbo jet, be flattened thinner than a CD without feeling a thing - and live forever! As for the angles of a triangle, they do not always have to add up to 180 degrees. And then, of course, there are black holes. These are but a few of the extraordinary consequences of Einstein's theory of relativity.

Bruce Bueno de Mesquita is a master of game theory, which is a fancy label for a simple idea: People compete, and they always do what they think is in their own best interest. Bueno de Mesquita uses game theory and its insights into human behavior to predict and even engineer political, financial, and personal events. His forecasts, which have been employed by everyone from the CIA to major business firms, have an amazing 90 percent accuracy rate.

Welcome to "AI for Educators: Personalizing Education with Artificial Intelligence," your comprehensive guide to harnessing AI in the classroom. This audiobook equips educators at all tech levels with the necessary tools and knowledge to effectively integrate AI, enhancing teaching and personalizing learning experiences for every student. Dive into practical strategies, understand ethical considerations, and explore the transformative possibility of AI in education.

From the contours of coastlines to the outlines of clouds, and the branching of trees, fractal shapes can be found everywhere in nature. In this Very Short Introduction, Kenneth Falconer explains the basic concepts of fractal geometry, which produced a revolution in our mathematical understanding of patterns in the 20th century, and explores the wide range of applications in science, and in aspects of economics. 

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.

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.

Thomas Bayes was an eighteenth-century Presbyterian minister and amateur mathematician whose obscure life belied the profound impact of his work. Like most research into probability at the time, his theorem - independently discovered a few years later by Pierre-Simon Laplace, the great French mathematician - was mainly seen as relevant to games of chance, like dice and cards. But its implications soon became clear, affecting fields as diverse as medicine, law and artificial intelligence.

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.

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.

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.

The aim of David McAdams’s Game-Changer is nothing less than to empower you with this wisdom - not just to win in every strategic situation (or “game”) you face but to change those games and the ecosystems in which they reside to transform your life and our lives together for the better.

The Eudaemonic Pie is the bizarre true story of how a band of physicists and computer wizards took on Las Vegas. It chronicles the origins of personal computers, the history of gambling, and the comedy of living a good life governed according to reason (eudaemonia).

Filled with illuminating historical anecdotes and asides on some of the most fascinating mathematicians through the ages, One, Two, Three is a captivating exploration of the foundation of mathematics: how it originated, who thought of it, and why it matters.

To solve one of the great mathematical problems of his day, Alan Turing proposed an imaginary computer. Then, attempting to break a Nazi code during World War II, he successfully designed and built one, thus ensuring the Allied victory. Turing became a champion of artificial intelligence, but his work was cut short. As an openly gay man at a time when homosexuality was illegal in England, he was convicted and forced to undergo a humiliating "treatment" that may have led to his suicide.

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.