Why can no two people ever see the same rainbow? What happens when you pull a pop song apart into pure sine waves and play it back on a piano? Why does the wake behind a duck always form an angle of exactly 39 degrees? And what did mathematicians have to do with the great pig stampede of 2012? The answer to each of these questions can be found in the triangle.

In Love Triangle, stand-up comedian, ex-maths teacher and Sunday Times number one bestselling author Matt Parker is on a mission to prove why we should all show a lot more love for triangles, along with the useful trigonometry and geometry they enable. To make his point, he uses triangles to create his own digital avatar, survive a harrowing motorcycle ride, cut a sandwich into three equal parts, and measure tall buildings while wearing silly shoes. But soon these hare-brained experiments begin to reveal a genuinely important truth: triangles are the hidden pattern beneath the surface of the contemporary world, used in everything from GPS to CGI via Spotify streaming, the play button and your best mate’s triangle tattoo.

Join Matt Parker as he demonstrates why there’s more to triangles than Pythagoras and SOHCAHTOA. Triangles are everything and everything is triangles.

Untangling the curious links between notes and number, musical perception, psychology and physics, David Darling examines the fascinating science behind music, from its Palaeolithic origins to the present.

Revealing surprising connections and busting pervasive myths, A Perfect Harmony asks:

• Why do musicians tend to be better at maths than non-musicians?
• Why do we find some pieces sad and others happy?
• Will playing Mozart to babies predispose them to genius?
• Could an AI write the perfect symphony?

A rich, narrative explanation of the mathematics that has brought us machine learning and the ongoing explosion of artificial intelligence

Machine-learning systems are making life-altering decisions for us: approving mortgage loans, determining whether a tumour is cancerous, or deciding whether someone gets bail. They now influence discoveries in chemistry, biology and physics – the study of genomes, extra-solar planets, even the intricacies of quantum systems.

We are living through a revolution in artificial intelligence that is not slowing down. This major shift is based on simple mathematics, some of which goes back centuries: linear algebra and calculus, the stuff of eighteenth-century mathematics. Indeed by the mid-1850s, a lot of the groundwork was all done. It took the development of computer science and the kindling of 1990s computer chips designed for video games to ignite the explosion of AI that we see all around us today. In this enlightening book, Anil Ananthaswamy explains the fundamental maths behind AI, which suggests that the basics of natural and artificial intelligence might follow the same mathematical rules.

As Ananthaswamy resonantly concludes, to make the most of our most wondrous technologies we need to understand their profound limitations – the clues lie in the maths that makes AI possible.

Explore the life-changing magic of trigonometry with Matt Parker, stand-up mathematician and No. 1 bestselling author of Humble Pi

Why can no two people ever see the same rainbow? What happens when you pull a pop song apart into pure sine waves and play it back on a piano? Why does the wake behind a duck always form an angle of exactly 39 degrees? And what did mathematicians have to do with the great pig stampede of 2012? The answer to each of these questions can be found in the triangle.

In Love Triangle, stand-up comedian, ex-maths teacher and Sunday Times number one bestselling author Matt Parker is on a mission to prove why we should all show a lot more love for triangles, along with the useful trigonometry and geometry they enable. To make his point, he uses triangles to create his own digital avatar, survive a harrowing motorcycle ride, cut a sandwich into three equal parts, and measure tall buildings while wearing silly shoes. But soon these hare-brained experiments begin to reveal a genuinely important truth: triangles are the hidden pattern beneath the surface of the contemporary world, used in everything from GPS to CGI via Spotify streaming, the play button and your best mate’s triangle tattoo.

Join Matt Parker as he demonstrates why there’s more to triangles than Pythagoras and SOHCAHTOA. Triangles are everything and everything is triangles.

‘This exuberant book will educate, amuse and surprise. It might even add another dimension to the way you read.’ – The Sunday Times

We often think of mathematics and literature as polar opposites. But what if, instead, they were fundamentally linked? In this insightful, laugh-out-loud funny book, Once Upon a Prime, Professor Sarah Hart shows us the myriad connections between maths and literature, and how understanding those connections can enhance our enjoyment of both.

Did you know, for instance, that Moby-Dick is full of sophisticated geometry? That James Joyce’s stream-of-consciousness novels are deliberately checkered with mathematical references? That George Eliot was obsessed with statistics? That Jurassic Park is undergirded by fractal patterns? That Sir Arthur Conan Doyle and Chimamanda Ngozi Adichie wrote mathematician characters?

From sonnets to fairytales to experimental French literature, Once Upon a Prime takes us on an unforgettable journey through the books we thought we knew, revealing new layers of beauty and wonder. Professor Hart shows how maths and literature are complementary parts of the same quest, to understand human life and our place in the universe.

How do mathematical models shape our world – and how can we harness their power for good?

Models are at the centre of everything we do. Whether we use them or are simply affected by them, they act as metaphors that help us better understand the increasingly complex problems facing us in the modern world. Without models, we couldn’t begin to tackle three of the major challenges facing modern society: regulation of the economy, climate change and the COVID-19 pandemic. Yet in recent years, the validity of the models we use has been hotly debated and there has been renewed awareness of the disastrous consequences when the makers and interpreters of models get things wrong.

Drawing on contemporary examples from finance, climate and health policy, Erica Thompson explores what models are, why we need them, how they work and what happens when they go wrong. This is not a book that argues we should do away with models, but rather, that we need to properly understand how they are constructed – and how some of the assumptions that underlie the models we use can have significant unintended consequences. Unexpectedly humorous, thought-provoking and passionate, this is essential reading for everyone.

‘This exuberant book will educate, amuse and surprise. It might even add another dimension to the way you read.’ – The Sunday Times

We often think of mathematics and literature as polar opposites. But what if, instead, they were fundamentally linked? In this insightful, laugh-out-loud funny book, Once Upon a Prime, Professor Sarah Hart shows us the myriad connections between maths and literature, and how understanding those connections can enhance our enjoyment of both.

Did you know, for instance, that Moby-Dick is full of sophisticated geometry? That James Joyce’s stream-of-consciousness novels are deliberately checkered with mathematical references? That George Eliot was obsessed with statistics? That Jurassic Park is undergirded by fractal patterns? That Sir Arthur Conan Doyle and Chimamanda Ngozi Adichie wrote mathematician characters?

From sonnets to fairytales to experimental French literature, Once Upon a Prime takes us on an unforgettable journey through the books we thought we knew, revealing new layers of beauty and wonder. Professor Hart shows how maths and literature are complementary parts of the same quest, to understand human life and our place in the universe.

‘A brilliant account of how models are so often abused and of how they should be used’ John Kay

How do mathematical models shape our world – and how can we harness their power for good?

Models are at the centre of everything we do. Whether we use them or are simply affected by them, they act as metaphors that help us better understand the increasingly complex problems facing us in the modern world. Without models, we couldn’t begin to tackle three of the major challenges facing modern society: regulation of the economy, climate change and the COVID-19 pandemic. Yet in recent years, the validity of the models we use has been hotly debated and there has been renewed awareness of the disastrous consequences when the makers and interpreters of models get things wrong.

Drawing on contemporary examples from finance, climate and health policy, Erica Thompson explores what models are, why we need them, how they work and what happens when they go wrong. This is not a book that argues we should do away with models, but rather, that we need to properly understand how they are constructed – and how some of the assumptions that underlie the models we use can have significant unintended consequences. Unexpectedly humorous, thought-provoking and passionate, this is essential reading for everyone.