Trigonometry is perhaps the most essential concept humans have ever devised. The simple yet versatile triangle allows us to record music, map the world, launch rockets into space, and be slightly less bad at pool. Triangles underpin our day-to-day lives and civilization as we know it. In Love Triangle, Matt Parker argues we should all show a lot more love for triangles, along with all the useful trigonometry and geometry they enable.

At its simplest, Bayes’s theorem describes the probability of an event, based on prior knowledge of conditions that might be related to the event. But in Everything Is Predictable, Tom Chivers lays out how it affects every aspect of our lives. He explains why highly accurate screening tests can lead to false positives and how a failure to account for it in court has put innocent people in jail. A cornerstone of rational thought, many argue that Bayes’s theorem is a description of almost everything. But who was the man who lent his name to this theorem?

Many people take math in high school and promptly forget much of it. But math plays a part in all of our lives all of the time, whether we know it or not. In The Joy of x, Steven Strogatz expands on his hit New York Times series to explain the big ideas of math gently and clearly, with wit, and insight.

Infinite Powers recounts how calculus tantalized and thrilled its inventors, starting with its first glimmers in ancient Greece and bringing us right up to the discovery of gravitational waves. Strogatz reveals how this form of math rose to the challenges of each age: how to determine the area of a circle with only sand and a stick; how to explain why Mars goes "backwards" sometimes; how to turn the tide in the fight against AIDS.

The aim of this book is to explain, carefully but not technically, the differences between advanced, research-level mathematics and the sort of mathematics we learn at school. The most fundamental differences are philosophical, and listeners of this book will emerge with a clearer understanding of paradoxical-sounding concepts such as infinity, curved space, and imaginary numbers. The first few chapters are about general aspects of mathematical thought.

The history of pi, says the author, though a small part of the history of mathematics, is nevertheless a mirror of the history of man. Petr Beckmann holds up this mirror, giving the background of the times when pi made progress - and also when it did not, because science was being stifled by militarism or religious fanaticism.

What would you do if a time machine hurled you thousands of years into the past...and then broke? How would you survive? With this book as your guide, you'll survive - and thrive - in any period in Earth's history. Best-selling author and time-travel enthusiast Ryan North tells you how to invent all the modern conveniences we take for granted - from first principles. This manual contains all the science, engineering, art, philosophy, facts, and figures required for even the most clueless time traveler to build a civilization from the ground up.

When Freakonomics was initially published, the authors started a blog - and they've kept it up. The writing is more casual, more personal, even more outlandish than in their books.

Ellenberg chases mathematical threads through a vast range of time and space, from the everyday to the cosmic, encountering, among other things, baseball, Reaganomics, daring lottery schemes, Voltaire, the replicability crisis in psychology, Italian Renaissance painting, artificial languages, the development of non-Euclidean geometry, the coming obesity apocalypse, Antonin Scalia's views on crime and punishment, the psychology of slime molds, what Facebook can and can't figure out about you, and the existence of God.

The millions of people around the world who loved What If? still have questions, and those questions are getting stranger. Thank goodness xkcd creator Randall Munroe is here to help. Planning to ride a fire pole from the Moon back to Earth? The hardest part is sticking the landing. Hoping to cool the atmosphere by opening everyone’s freezer door at the same time? Maybe it’s time for a brief introduction to thermodynamics. Want to know what would happen if you rode a helicopter blade, made a lava lamp out of lava, or jumped on an erupting geyser? Okay, if you insist.

SuperFreakonomics challenges the way we think all over again, exploring the hidden side of everything with such questions as: How is a street prostitute like a department-store Santa? What do hurricanes, heart attacks, and highway deaths have in common? Can eating kangaroo save the planet? Levitt and Dubner mix smart thinking and great storytelling like no one else.

History is the most dangerous place on earth. From dinosaurs the size of locomotives to meteors big enough to sterilize the planet, from famines to pandemics, from tornadoes to the Chicxulub asteroid, the odds of human survival are slim but not zero—at least, not if you know where to go and what to do. In each chapter of How to Survive History, Cody Cassidy explores how to survive one of history’s greatest threats: getting eaten by dinosaurs, being destroyed by the asteroid that wiped out the dinosaurs, succumbing to the lava flows of Pompeii, being devoured by the Donner Party, and more.

A gleefully gruesome look at the actual science behind the most outlandish, cartoonish, and impossible deaths you can imagine. What would happen if you took a swim outside a deep-sea submarine wearing only a swimsuit? How long could you last if you stood on the surface of the sun? How far could you actually get in digging a hole to China? Paul Doherty, senior staff scientist at San Francisco's famed Exploratorium Museum, and writer Cody Cassidy explore the real science behind these and other fantastical scenarios.

Nate Silver built an innovative system for predicting baseball performance, predicted the 2008 election within a hair’s breadth, and became a national sensation as a blogger - all by the time he was 30. He solidified his standing as the nation's foremost political forecaster with his near perfect prediction of the 2012 election. Silver is the founder and editor in chief of the website FiveThirtyEight. Drawing on his own groundbreaking work, Silver examines the world of prediction, investigating how we can distinguish a true signal from a universe of noisy data.

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.