Math History

Was there a beginning of time? Could time run backwards? Is the universe infinite, or does it have boundaries? These are just some of the questions considered in an internationally acclaimed masterpiece by one of the world's greatest thinkers. It begins by reviewing the great theories of the cosmos, from Newton to Einstein, before delving into the secrets which still lie at the heart of space and time, from the big bang to black holes, via spiral galaxies and strong theory.

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.

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. 

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. 

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.

How did life begin? It is perhaps the most important question science has ever asked. Over the centuries, the search for an answer has been entwined with some of science's most revolutionary advances, including van Leeuwenhoek's microscope, Darwin's theory of evolution, and Crick and Watson's unveiling of DNA.

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.

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.

What sparks the flash of brilliance? How does groundbreaking innovation happen? Answering in his infectious, culturally omnivorous style, using his fluency in fields from neurobiology to popular culture, Johnson provides the complete, exciting, and encouraging story of how we generate the ideas that push our careers, our lives, our society, and our culture forward.

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.  

The first robot to walk the earth was a bronze giant called Talos. This wondrous machine was created not by MIT Robotics Lab, but by Hephaestus, the Greek god of invention, more than 2,500 years ago. In this groundbreaking account of the earliest expressions of the timeless impulse to create artificial life, Adrienne Mayor tells the fascinating story of how ancient Greek, Roman, Indian, and Chinese myths envisioned artificial life, automata, self-moving devices, and human enhancements - and how these visions relate to and reflect the ancient invention of real animated machines.

Groundbreaking anthropologist and memory champion Lynne Kelly reveals how we can use ancient and traditional mnemonic methods to enhance and expand our memory. 

In Consilience (a word that originally meant "jumping together"), Edward O. Wilson renews the Enlightenment's search for a unified theory of knowledge in disciplines that range from physics to biology, the social sciences and the humanities. Using the natural sciences as his model, Wilson forges dramatic links between fields. Presenting the latest findings in prose of wonderful clarity and oratorical eloquence, and synthesizing it into a dazzling whole, Consilience is science in the path-clearing traditions of Newton, Einstein, and Richard Feynman.

Ignition! is the story of the search for a rocket propellant which could be trusted to take man into space. This search was a hazardous enterprise carried out by rival labs who worked against the known laws of nature, with no guarantee of success or safety. John Drury Clark writes with irreverent and eyewitness immediacy about the development of the explosive fuels strong enough to negate the relentless restraints of gravity. The resulting volume is as much a memoir as a work of history, sharing a behind-the-scenes view of an enterprise that eventually took men to the moon.

Utterly beautiful. Profoundly disconcerting. Quantum theory is quite simply the most successful account of the physical universe ever devised. Its concepts underpin much of the 21st-century technology that we now take for granted. But at the same time it has completely undermined our ability to make sense of the world at its most fundamental level.

We all make mistakes. Nobody’s perfect. Not even some of the greatest geniuses in history, as Mario Livio tells us in this marvelous story of scientific error and breakthrough. Charles Darwin, William Thomson (Lord Kelvin), Linus Pauling, Fred Hoyle, and Albert Einstein were all brilliant scientists. Each made groundbreaking contributions to his field - but each also stumbled badly. These five scientists expanded our knowledge of life on Earth, the evolution of the Earth itself, and the evolution of the universe, despite and because of their errors. As Mario Livio luminously explains, the scientific process advances through error.

In the 1970s, amid severe cutbacks in physics funding, a small group of underemployed physicists in Berkeley decided to throw off the constraints of academia and explore the wilder side of science. Dubbing themselves the “Fundamental Fysiks Group,” they pursued a freewheeling, speculative approach to physics. Some dabbled with LSD while conducting experiments. They studied quantum theory alongside Eastern mysticism and psychic mind reading, discussing the latest developments while lounging in hot tubs.

Every prime minister of independent India has guided, if not personally overseen, one prized portfolio: technology. If, in the early years, Nehru and his scientist advisors retained an iron grip on it, subsequent governments created a bureaucracy that managed everything from the country's crown jewels - its nuclear and space programs - to solar stoves and mechanized bullock carts. But a lesser-known political project began on August 15, 1947: the Indian state's undertaking to influence what the citizens thought about technology and its place in society.

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 The Butchering Art, historian Lindsey Fitzharris re-creates a critical turning point in the history of medicine, when Joseph Lister transformed surgery from a brutal, harrowing practice to the safe, vaunted profession we know today.

Victorian operating theatres were known as 'gateways of death', Fitzharris reminds us, since half of those who underwent surgery didn't survive the experience. This was an era when a broken leg could lead to amputation, and surgeons were still known to ransack cemeteries to find cadavers.