Showing titles in Mathematics

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.

Do you sometimes question if you are on the right path or if you are wasting your time on something you are not supposed to do? Do you repeatedly see numbers all around you? I´m not talking about telephone numbers, area codes, or price tags, but patterns that are not "normal"? 11:11, 333, 666? Do you ever recognize certain character traits among people that are born in the same month? What if all the "coincidences" in your life mean much more than you think on first sight?

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.

Dark Data explores the many ways in which we can be blind to missing data and how that can lead us to conclusions and actions that are mistaken, dangerous, or even disastrous. Examining a wealth of real-life examples, from the Challenger shuttle explosion to complex financial frauds, Hand gives us a practical taxonomy of the types of dark data that exist and the situations in which they can arise, so that we can learn to recognize and control for them.

From the end of the 19th century until his death, one of history's most brilliant mathematicians languished in an asylum. The Mystery of the Aleph tells the story of Georg Cantor (1845-1918), a Russian-born German who created set theory, the concept of infinite numbers, and the "continuum...

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.

In 1202, a 32-year-old Italian finished one of the most influential books of all time, which introduced modern arithmetic to Western Europe. Devised in India in the 7th and 8th centuries and brought to North Africa by Muslim traders, the Hindu-Arabic system helped transform the West into the dominant force in science, technology, and commerce, leaving behind Muslim cultures which had long known it but had failed to see its potential.

NEW YORK TIMES BESTSELLER The groundbreaking exploration of probability and uncertainty that explains how to make better predictions in a world drowning in data, from the nation’s foremost political forecaster—updated with insights into the pandemic, journalism today, and polling One of...

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?

Mathematician Ian Stewart tells listeners what he wishes he had known when he was a student. He takes up subjects ranging from the philosophical to the practical - what mathematics is and why it’s worth doing, the relationship between logic and proof, the role of beauty in mathematical thinking, the future of mathematics, how to deal with the peculiarities of the mathematical community, and many others.

From Stanford professor, author of Limitless Mind, youcubed.org founder, and leading expert in the field of mathematics education Jo Boaler comes a groundbreaking guide to finding joy and understanding by adopting a diverse approach to learning math. “Every once in a while, someone...

As Nobel Prize-winning economist Ronald Coase once cynically observed, "If you torture data long enough, it will confess." Lying with statistics is a time-honored con. In Standard Deviations, economics professor Gary Smith walks us through the various tricks and traps that people use to back up their own crackpot theories. Sometimes, the unscrupulous deliberately try to mislead us. Other times, the well-intentioned are blissfully unaware of the mischief they are committing.

In Zero, science journalist Charles Seife follows this innocent-looking number from its birth as an Eastern philosophical concept to its struggle for acceptance in Europe, its rise and transcendence in the West, and its ever-present threat to modern physics. 

Harvard geometer and Fields medalist Shing-Tung Yau has provided a mathematical foundation for string theory, offered new insights into black holes, and mathematically demonstrated the stability of our universe. In this autobiography, Yau reflects on his improbable journey to becoming one of the world’s most distinguished mathematicians. With complicated ideas explained for a broad audience, listeners not only get insights into the life of an eminent mathematician, but also an accessible way to understand advanced and highly abstract concepts in mathematics and theoretical physics.

Do you find yourself grasping to recall various moments? Maybe you can't remember a particular name of a person, even if you just met? Maybe you find yourself forgetting crucial dates when you know you should remember them? Memory can be a tricky thing. But what if I tell you, there is a way for you to remember dates, numbers, and other crucial information just by following simple steps and formulas?

Should one enter a market where someone is in a monopoly position? When is going to the ER a good or a bad decision? Why is it never a good idea for rebels to concede? Practice Game Theory answers all these questions. Think about and solve problems more effectively applying strategic games models to real-life challenges. Learn how top world leaders analyze and assess their next best moves.

Once you know how to see them, numbers are all around us - buried in the dimensions of buildings and encoding the data on our favourite gadgets. They’re a beautiful system of patterns and codes but also an essential tool that can guide our daily decisions, change our behaviour and even predict the future - if we can just learn how to use them right.

Our increasing reliance on technology and the Internet has opened a window for mathematicians and data researchers to gaze through into our lives. Using the data they are constantly collecting about where we travel, where we shop, what we buy, what interests us, they can begin to predict our daily habits, and increasingly we are relinquishing our decision making to algorithms - are we giving up this up too easily?

In this Very Short Introduction Philip K. Maini describes the art of modeling, what it is, why we do it, and illustrates how the abstract way of thinking that is the essence of mathematics enables us to transfer knowledge from one area of research to another.

In Once Upon an Algorithm, Martin Erwig explains computation as something that takes place beyond electronic computers, and computer science as the study of systematic problem solving. Erwig points out that many daily activities involve problem solving. Getting up in the morning, for example: You get up, take a shower, get dressed, eat breakfast. This simple daily routine solves a recurring problem through a series of well-defined steps. In computer science, such a routine is called an algorithm.