Math History

Does time exist? What is infinity? Why do mirrors reverse left and right but not up and down? In this scintillating collection, Holt explores the human mind, the cosmos, and the thinkers who’ve tried to encompass the latter with the former. With his trademark clarity and humor, Holt probes the mysteries of quantum mechanics, the quest for the foundations of mathematics, and the nature of logic and truth. Along the way, he offers intimate biographical sketches of celebrated and neglected thinkers, from the physicist Emmy Noether to the computing pioneer Alan Turing and the discoverer of fractals, Benoit Mandelbrot.

This 10-part history of mathematics reveals the personalities behind the calculations: the passions and rivalries of mathematicians struggling to get their ideas heard. Professor Marcus du Sautoy shows how these masters of abstraction find a role in the real world and proves that mathematics is the driving force behind modern science.

Mescaline, LSD, and psilocybin mushrooms. There’s been a lot of discussion in the medical world lately about the potential benefits of these and other drugs for certain medical conditions, such as anxiety and depression. As we consider the place of psychedelics in the future, we can draw insight and guidance from the history of how psychedelics have been described, sought after, applied, and prohibited over the centuries. Erika Dyck, professor of history at the University of Saskatchewan, introduces you to the world of hallucinogens.

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.

In 2006, an oddball group of bankers, traders and brokers from some of the world's largest financial institutions made a startling realization: Libor - the London interbank offered rate, which determines the interest rates on trillions in loans worldwide - was set daily by a small group of easily manipulated functionaries, and that they could reap huge profits by nudging it to suit their trading portfolios.

In A Mind for Numbers, Dr. Oakley lets us in on the secrets to learning effectively - secrets that even dedicated and successful students wish they’d known earlier. Contrary to popular belief, math requires creative, as well as analytical, thinking. Most people think that there’s only one way to do a problem, when in actuality, there are often a number of different solutions - you just need the creativity to see them.

Whether pondering black holes or predicting discoveries at CERN, physicists believe the best theories are beautiful, natural, and elegant, and this standard separates popular theories from disposable ones. This is why, Sabine Hossenfelder argues, we have not seen a major breakthrough in the foundations of physics for more than four decades. The belief in beauty has become so dogmatic that it now conflicts with scientific objectivity: Observation has been unable to confirm mindboggling theories, like supersymmetry or grand unification, invented by physicists based on aesthetic criteria.

In Proof, Adam Rogers reveals alcohol as a miracle of science, going deep into the pleasures of making and drinking booze—and the effects of the latter. The people who make and sell alcohol may talk about history and tradition, but alcohol production is really powered by physics, molecular biology, organic chemistry, and a bit of metallurgy—and our taste for those products is a melding of psychology and neurobiology.

Geneticist Adam Rutherford and mathematician Hannah Fry guide listeners through time and space, through our bodies and brains, showing how emotions shape our view of reality, how our minds tell us lies, and why a mostly bald and curious ape decided to begin poking at the fabric of the universe.

From Leonardo Da Vinci to John Dee and Comenius, from George Eliot to Oliver Sacks and Susan Sontag, polymaths have moved the frontiers of knowledge in countless ways. But history can be unkind to scholars with such encyclopaedic interests. All too often these individuals are remembered for just one part of their valuable achievements. In this engaging, erudite account, renowned cultural historian Peter Burke argues for a more rounded view.

The foundations of modern knowledge - philosophy, math, astronomy, geography - were laid by the Greeks, whose ideas were written on scrolls and stored in libraries across the Mediterranean and beyond. But as the vast Roman Empire disintegrated, so did appreciation of these precious texts. Christianity cast a shadow over so-called pagan thought, books were burned, and the library of Alexandria, the greatest repository of classical knowledge, was destroyed. Yet some texts did survive and The Map of Knowledge explores the role played by seven cities around the Mediterranean....

We are often told that hard work is the key to success. But success isn’t about hard work - it’s about shortcuts. Shortcuts allow us to solve one problem quickly so that we can tackle an even bigger one. They make us capable of doing great things. And according to Marcus du Sautoy, math is the very art of the shortcut. Thinking Better is a celebration of how math lets us do more with less.

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.

In March 2006, the world’s richest men sipped champagne in an opulent New York hotel. They were preparing to compete in a poker tournament with ­million-dollar stakes. At the card table that night was Peter Muller, who managed a fabulously successful hedge fund called PDT. With him was Ken Griffin, who was the tough-as-nails head of Citadel Investment Group. There, too, were Cliff Asness, the sharp-tongued, mercurial founder of the hedge fund AQR Capital Management, and Boaz Weinstein, chess “life master” and king of the credit-default swap.

The story of the men and women who drove the Voyager spacecraft mission, told by a scientist who was there from the beginning. The Voyager spacecraft are our farthest-flung emissaries--11.3 billion miles away from the crew who built and still operate them decades after their launch.

We often think of mathematics and literature as polar opposites. But what if, instead, they were fundamentally linked? In her clear, insightful, laugh-out-loud funny debut, Once Upon a Prime, Professor Sarah Hart shows us the myriad connections between math and literature, and how understanding those connections can enhance our enjoyment of both. As the first woman to hold England’s oldest mathematical chair, Professor Hart is the ideal tour guide, taking us on an unforgettable journey through the books we thought we knew, revealing new layers of beauty and wonder.

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.

From the simple to the intricate and the audacious to the absurd, Adam Kucharski reveals the long and tangled history between betting and science and explains why gambling continues to generate insights into luck and decision making today. Covering exploits and ideas from across the globe, he meets the teams behind hedge funds that capitalize on inaccurate sports betting odds and explains how PhD-level pundits are using methods originally developed for the US nuclear program to predict sports results.

Starting with hands, abacus, and slide rule, humans have always reached for tools to simplify math. Pocket-sized calculators ushered in modern mathematics, helped build the atomic bomb, took us to the bottom of the ocean, and accompanied us to the moon. The pocket calculator changed our world, until it was supplanted by more modern devices that, in a cruel twist of irony, it helped to create. Keith Houston transports listeners from the nascent economies of the ancient world to World War II, and into the technological arms race that led to the first affordable electronic pocket calculators.

In 2021, when the gavel fell at Christie’s on the sale of Mike Winkelmann’s Everydays series—a compilation of 5,000 digital artworks—it made a thunderous announcement: Non-fungible tokens had arrived. The ludicrous world of CryptoKitties and Bored Apes had just produced a piece of art worth $69.3 million (at least according to the highest bidder). On that day, the traditional art market—the largest unregulated market in the world—put its stamp of approval on a very new and carnivalesque digital reality. But what did it mean for these two worlds to collide?