We would all be better off if everyone saw mathematics as a practical ally. Sadly, most of us fear maths and seek to avoid it. This is because mathematics doesn't have good 'people skills' - it never hesitates to bluntly point out when we are wrong. But it is only trying to help! Mathematics is a friend which can fill the gaps in what our brains can do naturally. Luckily, even though we don't like sharing our own mistakes, we love to listen to tales about what happens when maths errors make the everyday go horribly wrong.... 

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. 

Bertrand Russell wrote that mathematics can exalt "as surely as poetry". This is especially true of one equation: ei(pi) + 1 = 0, the brainchild of Leonhard Euler, the Mozart of mathematics. More than two centuries after Euler's death, it is still regarded as a conceptual diamond of unsurpassed beauty. Called Euler's identity, or God's equation, it includes just five numbers but represents an astonishing revelation of hidden connections.

We all know that without water we couldn't survive, and that sometimes a cup of coffee or a glass of wine feels just as vital. But do we really understand how much we rely on liquids, or the destructive power they hold? Set over the course of a flight from London to San Francisco, Liquid Rules offers listeners a fascinating tour of these formless substances, told through the language of molecules, droplets, heartbeats, and ocean waves.

Chemistry and Our Universe: How It All Works is your in-depth introduction to this vital field, taught through 60 engaging half-hour lectures that are suitable for any background or none at all. Covering a year’s worth of introductory general chemistry at the college level, plus intriguing topics that are rarely discussed in the classroom, this amazingly comprehensive course requires nothing more advanced than high-school math. Your guide is Professor Ron B. Davis, Jr., a research chemist and award-winning teacher at Georgetown University.

It is time for us to learn a new way of thinking. The 21st century presents complex problems that require a wiser way of reasoning, one that recognises our current limitations, tolerates ambiguity and uncertainty, balances multiple perspectives, and bridges diverse areas of expertise. Whatever our age and experience, whether a NASA scientist or a school student, we will benefit from wielding our minds with insight, precision, social sensitivity and humility.ntial.   

The world of maths can seem mind-boggling, irrelevant and, let's face it, boring. This groundbreaking book reclaims maths from the geeks. Mathematical ideas underpin just about everything in our lives: from the surprising geometry of the 50p piece to how probability can help you win in any casino. In search of weird and wonderful mathematical phenomena, Alex Bellos travels across the globe and meets the world's fastest mental calculators in Germany and a startlingly numerate chimpanzee in Japan.

A series of glasses of transparent liquids is in front of you: but which will quench your thirst and which will kill you? And why? Why does one liquid make us drunk and another power a jumbo jet? Sometimes dangerous, often delightful and always fascinating, discover the secret lives of liquids, from one of our best known scientists. From the best-selling author of Stuff Matters comes a fascinating tour of the world of these surprising or sinister substances - the droplets, heartbeats and ocean waves we encounter day to day.

Beginning with opium, the “joy plant,” which has been used for 10,000 years, Thomas Hager tells a captivating story of medicine. His subjects include the largely forgotten female pioneer who introduced smallpox inoculation to Britain, the infamous knockout drops, the first antibiotic, which saved countless lives, the first antipsychotic, which helped empty public mental hospitals, Viagra, statins, and the new frontier of monoclonal antibodies. This is a deep, wide-ranging, and wildly entertaining book. 

At the end of his career, Albert Einstein was pursuing a dream far more ambitious than the theory of relativity. He was trying to find an equation that explained all physical reality - a theory of everything. Experimental physicist and award-winning educator Dr. Don Lincoln takes you on this exciting journey in The Theory of Everything: The Quest to Explain All Reality. Suitable for the intellectually curious at all levels and assuming no background beyond basic high-school math, these 24 half-hour lectures cover recent developments at the forefront of particle physics and cosmology.

In this book, Amy Webb reveals the pervasive, invisible ways in which the foundations of AI - the people working on the system, their motivations, the technology itself - is broken. Within our lifetimes, AI will, by design, begin to behave unpredictably, thinking and acting in ways which defy human logic. The big nine corporations may be inadvertently building and enabling vast arrays of intelligent systems that don't share our motivations, desires, or hopes for the future of humanity. 

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.

Why do obviously intelligent people believe things in spite of the evidence against them? Will Storr has travelled across the world to meet an extraordinary cast of modern heretics in order to answer this question. He goes on a tour of Holocaust sites with David Irving and a band of neo-Nazis, experiences his own murder during 'past-life regression' hypnosis, takes part in a mass homeopathic overdose, and investigates a new disease affecting tens of thousands of people - a disease that doesn't actually exist.

Best-selling author Simon Winchester writes a magnificent history of the pioneering engineers who developed precision machinery to allow us to see as far as the moon and as close as the Higgs boson. Precision is the key to everything. It is an integral, unchallenged and essential component of our modern social, mercantile, scientific, mechanical and intellectual landscapes. The items we value in our daily lives - a camera, a phone, a computer, a bicycle, a car, a dishwasher perhaps - all sport components that fit together with precision and operate with near perfection....

'I have a truly marvellous demonstration of this proposition which this margin is too narrow to contain.' It was with these words, written in the 1630s, that Pierre de Fermat intrigued and infuriated the mathematics community. For over 350 years, proving Fermat's Last Theorem was the most notorious unsolved mathematical problem, a puzzle whose basics most children could grasp but whose solution eluded the greatest minds in the world.