Math History

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.

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.

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.

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.

We live in the age of the algorithm. Increasingly, the decisions that affect our lives—where we go to school, whether we get a loan, how much we pay for insurance—are being made not by humans, but by mathematical models. In theory, this should lead to greater fairness: everyone is judged according to the same rules and bias is eliminated. And yet, as Cathy O'Neil reveals in this urgent and necessary book, the opposite is true. The models being used today are opaque, unregulated and incontestable, even when they're wrong. Most troubling, they reinforce discrimination.

In 2006 an oddball group of bankers, traders and brokers from some of the 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 group of easily manipulated administrators, and they could reap huge profits by nudging it fractions of a percent to suit their trading portfolios. This group generated incredible riches - until it all unraveled in spectacularly vicious, backstabbing fashion.

It's a signal paradox of our times that we live in an information society but do not know how it works. And without understanding how our information is stored, used and protected, we are vulnerable to having it exploited. In Fancy Bear Goes Phishing, Scott Shapiro exposes the secrets of the digital age. With lucidity and wit, he establishes that cybercrime has less to do with defective programming than with the faulty wiring of our psyches and society. And because hacking is a human story, he tells the fascinating tales of perpetrators.

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.

From Aristotle to Ada Lovelace: a brief history of the mathematical ideas that have forever changed the world and the everyday people and pioneers behind them. The story of our best invention yet. From our ability to calculate the passing of time to the algorithms that control computers and much else in our lives, numbers are everywhere. They are so indispensable that we forget how fundamental they are to our way of life.

One of the great mysteries of science is that its fundamental laws are written in the language of mathematics. Graham Farmelo's thrilling new book shows how modern maths has helped physicists to rethink gravity, space, and time. The Universe Speaks in Numbers takes us on an adventure from the Enlightenment to the present with a vibrant cast of characters, illuminating the most exciting and controversial developments in contemporary thought.

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.

Mathematics shapes almost everything we do. From building rockets to the handheld technology that governs our day-to-day lives, we are all in debt to the mathematical geniuses of the past. But the history of mathematics is warped; it looks like a sixteenth-century map that enlarges Europe at the expense of Africa, Asia and the Americas. The Secret Lives of Numbers introduces listeners to a new group of mathematical boundary-smashers, those who have been erased by history because of their race, gender or nationality.

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.

A pattern is a repeated design that is found everywhere in our world and even in outer space. All around you are both simple patterns and complicated patterns. The spiral of a seashell is very complex. But, there are patterns more complicated than a seashell. When did humans discover or invent patterns? There are cave paintings that are around 10,000 years old. They show hands in a pattern with 5 fingers.

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?

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.

More Damned Lies and Statistics encourages all of us to think in a more sophisticated and skeptical manner about how statistics are used to promote causes, create fear, and advance particular points of view. Best identifies different sorts of numbers that shape how we think about public issues: missing numbers are relevant but overlooked; confusing numbers bewilder when they should inform; scary numbers play to our fears about the present and the future.

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.

Just prior to the end of the previous millennium, Dr. Bread accepted a full-time position to do research at the Los Alamos National Laboratory in New Mexico. While she is prohibited from revealing classified information, Janet Bread can and does describe the evidence of a miscarriage of justice in the nation’s most notorious espionage case from the 1940s. As a compassionate individual with a sense of purpose and loyalty to the truth, she found the callous mistreatment of certain participants in a disinformation project to be deeply disturbing.

Kenneth is senior director of research and innovation at CoreAVI and chief technology officer at Squint AI. His work focuses on the intersection of artificial intelligence and determinism, enabling neural networks to execute in safety critical systems. Kenneth has co-authored two articles in the scholarly journal Machine Learning with Applications and several white papers for different publications, including Embedded Computing Design. He also holds several patents under CoreAVI’s auspices.