Showing titles in Mathematics

Nobel Laureate Eugene Wigner once wondered about "the unreasonable effectiveness of mathematics" in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that - mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true.

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.

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.

The National Security Agency was born out of the legendary codebreaking programs of World War II that cracked the famed Enigma machine and other German and Japanese codes, thereby turning the tide of Allied victory. In the postwar years, as the United States developed a new enemy in the Soviet Union, our intelligence community found itself targeting not soldiers on the battlefield, but suspected spies, foreign leaders, and even American citizens.

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. 

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.

Geometry defines the world around us, helping us make sense of everything from architecture to military science to fashion. And for over 2,000 years, geometry has been equated with Euclid's Elements, arguably the most influential book in the history of mathematics. In The King of Infinite Space, renowned mathematics writer David Berlinski provides a concise homage to this elusive mathematician and his staggering achievements.

If you're like most people, geometry is a dimly remembered exercise you gladly left behind in the dust of ninth grade. It's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face.

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.

This is an audiobook about math, but it contains no numbers. Math Without Numbers is a vivid, conversational, and wholly original guide to the three main branches of abstract math - topology, analysis, and algebra - which turn out to be surprisingly easy to grasp. This audiobook upends the conventional approach to math, inviting you to think creatively about shape and dimension, the infinite and infinitesimal, symmetries, proofs, and how these concepts all fit together. Join this freewheeling tour of the inimitable joys and unsolved mysteries of this curiously powerful subject.

We would like to believe we can know things for certain. We want to be able to figure out who will win an election, if the stock market will crash, or if a suspect definitely committed a crime. But the odds are not in our favor. Life is full of uncertainty - indeed, scientific advances indicate that the universe might be fundamentally inexact - and humans are terrible at guessing. When asked to predict the outcome of a chance event, we are almost always wrong.

The mathematician and author Steven Strogatz and the astrophysicist and author Janna Levin interview leading researchers about the great scientific and mathematical questions of our time.

Brian Clegg was always fascinated by Isaac Asimov’s classic Foundation series of books, in which the future is predicted using sophisticated mathematical modeling of human psychology and behavior. Only much later did he realize 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?

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.

There is so much more to math than geometry and calculus! It is present in almost every life aspect, from improving your communication skills to how to fit your luggage into your car.

A vital book for leaders and decision makers, The Evolution of Cooperation reveals how cooperative principles help us think better about everything from military strategy, to political elections, to family dynamics.

We like to think of ourselves as rational. This idea is the foundation for classical economic analysis of human behavior, including the awesome achievements of game theory. But as behavioral economics shows, most behavior doesn’t seem rational at all - which, unfortunately, casts doubt on game theory’s real-world credibility. In Hidden Games, Moshe Hoffman and Erez Yoeli find a surprising middle ground between the hyperrationality of classical economics and the hyper-irrationality of behavioral economics.

The Math(s) Fix: An Education Blueprint for the AI Age is a groundbreaking book that exposes why math education is in crisis worldwide and how the only fix is a fundamentally new mainstream subject. It argues that today's math education is not working to elevate society with modern computation, data science, and AI. Instead, students are subjugated to compete with what computers do best and lose.

Financial economist George G. Szpiro here tells the fascinating stories of the pioneers of mathematical finance who conducted the search for the elusive options pricing formula. From the broker's assistant who published the first mathematical explanation of financial markets to Albert Einstein and other scientists, Pricing the Future retraces the historical and intellectual developments that ultimately led to the widespread use of mathematical models to drive investment strategies on Wall Street.

Math has certainly gotten a bad reputation for being a subject that involves endless calculations and problems that will never be used in the real world, especially now that we all walk around with calculators in our pockets! But the fact is that math is required in multiple areas of an adult’s life, from preparing recipes to managing finances, and that’s without a career in STEM.