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.

Math has a reputation for being inaccessible. People think that it requires a special gift or that comprehension is a matter of genes. Yet, the greatest mathematicians throughout history, from Rene Descartes to Alexander Grothendieck, have insisted that this is not the case.

In 1850, an impoverished twenty-five-year-old named Fredericka Mandelbaum came to New York in steerage and worked as a peddler on the streets of Lower Manhattan. By the 1870s she was a fixture of high society and an admired philanthropist. How was she able to ascend from tenement poverty to vast wealth? In the intervening years, “Marm” Mandelbaum had become the country’s most notorious “fence”—a receiver of stolen goods—and a criminal mastermind.

We are living through a revolution in machine learning-powered AI that shows no signs of slowing down. This technology is based on relatively simple mathematical ideas, some of which go back centuries, including linear algebra and calculus, the stuff of seventeenth- and eighteenth-century mathematics. It took the birth and advancement of computer science and the kindling of 1990s computer chips designed for video games to ignite the explosion of AI that we see today. In this enlightening book, Anil Ananthaswamy explains the fundamental math behind machine learning.

We often think of mathematics and literature as polar opposites. But what if, instead, they were fundamentally linked? In her clear, insightful, laugh-out-loud funny debut, Once Upon a Prime, Professor Sarah Hart shows us the myriad connections between math and literature, and how understanding those connections can enhance our enjoyment of both. As the first woman to hold England’s oldest mathematical chair, Professor Hart is the ideal tour guide, taking us on an unforgettable journey through the books we thought we knew, revealing new layers of beauty and wonder.

For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two prodigies ultimately proved that the quintic cannot be solved by a simple formula. The first popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.

The foundations of modern knowledge - philosophy, math, astronomy, geography - were laid by the Greeks, whose ideas were written on scrolls and stored in libraries across the Mediterranean and beyond. But as the vast Roman Empire disintegrated, so did appreciation of these precious texts. Christianity cast a shadow over so-called pagan thought, books were burned, and the library of Alexandria, the greatest repository of classical knowledge, was destroyed. Yet some texts did survive and The Map of Knowledge explores the role played by seven cities around the Mediterranean....

Gases are all around us—they fill our lungs, power our movement, create stars, and warm our atmosphere. Often invisible and sometimes odorless, these ubiquitous substances are also the least understood materials in our world, and always have been. It wasn’t long ago that gases were seen as the work of ancient spirits: the sudden closing of a door after a change in airflow signaled a ghost’s presence.

Some of engineering's mightiest achievements are small in scale, even hidden—and yet, without them, the complex machinery on which our modern world runs would not exist. In Nuts and Bolts, Roma Agrawal examines seven of these extraordinary elements: the nail, the wheel, the spring, the lens, the magnet, the string, and the pump. From the physics behind both Roman nails and modern skyscrapers to rudimentary springs that inspired lithium batteries, Agrawal shows us how even the most sophisticated items are built on the foundations of these ancient and fundamental breakthroughs in engineering.

Robert Rubin, former secretary of the Treasury and co-chairman of Goldman Sachs, shares thoughts on decision-making developed over more than six decades in markets, business, government, and politics, and offers listeners an astute and original guide for navigating uncertain times.

George Frideric Handel’s Messiah is arguably the greatest piece of participatory art ever created. Adored by millions, it is performed each year by renowned choirs and orchestras, as well as by audiences singing along with the words on their cell phones. But this work of triumphant joy was born in a worried age. Britain in the early Enlightenment was a place of astonishing creativity but also the seat of an empire mired in war, enslavement, and conflicts over everything from the legitimacy of government to the meaning of truth.

Exploring and explaining a litany of glitches, near misses, and mathematical mishaps involving the internet, big data, elections, street signs, lotteries, the Roman Empire, and an Olympic team, Matt Parker uncovers the bizarre ways math trips us up, and what this reveals about its essential place in our world. Getting it wrong has never been more fun.

This is an easily digestible argument about what rights we have, what rights Republicans are trying to take away, and how to stop them. Mystal explains how to protect the rights of women and people of color instead of cowering to the absolutism of gun owners and bigots. He explains the legal way to stop everything from police brutality to political gerrymandering, just by changing a few judges and justices. He strips out all of the fancy jargon conservatives like to hide behind and lays bare the truth of their project to keep America forever tethered to its slaveholding past.

Who are we? How do scientists define Homo sapiens, and how does our species differ from the extinct hominins that came before us? In this accessible account palaeoarchaeologist Paul Pettitt shows how the latest scientific advances, especially in genetics, are revolutionizing our understanding of human evolution. Pettitt reveals the extraordinary story of how our ancestors adapted to unforgiving and relentlessly changing climates, leading to remarkable innovations in art, technology, and society that we are only now beginning to comprehend.

Sand, salt, iron, copper, oil, and lithium. These fundamental materials have created empires, razed civilizations, and fed our ingenuity and greed for thousands of years. Without them, our modern world would not exist, and the battle to control them will determine our future. In Material World, Ed Conway embarks on an epic journey across continents, cultures, and epochs to reveal the underpinnings of modern life on Earth—traveling from the sweltering depths of the deepest mine in Europe to spotless silicon chip factories in Taiwan to the eerie green pools where lithium originates.

My Big TOE: Awakening, written by a nuclear physicist in the language of contemporary culture, unifies science and philosophy, physics and metaphysics, mind and matter, purpose and meaning, the normal and the paranormal. The entirety of human experience (mind, body, and spirit) including both our objective and subjective worlds is brought together under one seamless scientific understanding.

We are in the midst of a global mental health crisis, and mental illnesses are on the rise. But what causes mental illness? And why are mental health problems so hard to treat? Drawing on decades of research, Harvard psychiatrist Dr. Chris Palmer outlines a revolutionary new understanding that for the first time unites our existing knowledge about mental illness within a single framework: mental disorders are metabolic disorders of the brain. Brain Energy will transform the field of mental health, and the lives of countless people around the world.

Remarkable new discoveries affirm the octopus as one of nature’s most intelligent and complex animals. This new book brings us closer than ever to these elusive creatures. The companion to the highly anticipated National Geographic television special, this book explores the alluring underwater world of the octopus—a creature that resembles an alien lifeform, but whose behavior has earned it a reputation as one of the most intelligent animals on the planet.

Hilarious, fascinating, and a roller coaster of dizzying, historical what-ifs, Napoleon's Hemorrhoids is a potpourri for serious historians and casual history buffs. In one of Phil Mason's many revelations, you'll learn that Communist jets were two minutes away from opening fire on American planes during the Cuban missile crisis, when they had to turn back as they were running out of fuel. You'll discover that before the Battle of Waterloo, Napoleon's painful hemorrhoids prevented him from mounting his horse to survey the battlefield.

Richard Dawkins' brilliant reformulation of the theory of natural selection has the rare distinction of having provoked as much excitement and interest outside the scientific community as within it. His theories have helped change the whole nature of the study of social biology, and have forced thousands to rethink their beliefs about life.

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 Significant Figures, acclaimed mathematician Ian Stewart introduces the visionaries of mathematics throughout history. Delving into the lives of twenty-five great mathematicians, Stewart examines the roles they played in creating, inventing, and discovering the mathematics we use today. Through these short biographies, we get acquainted with the history of mathematics.

This book reveals how statistics and probability are fundamental to our everyday lives—from advertisements to public opinion polls, weather forecasts to government policies, scientific research to stock market information. Haim Shapira then presents a myriad of anecdotes, riddles, case studies and practical exercises in his trademark witty voice to guide the listner through the importance of statistics and probability in everyday life.

The archetype of the American explorer, a rugged white man, has dominated our popular culture since the late eighteenth century, when Daniel Boone’s autobiography captivated readers with tales of treacherous journeys. But our commonly held ideas about American exploration do not tell the whole story—far from it. The Explorers rediscovers a diverse group of Americans who went to the western frontier and beyond, traversing the farthest reaches of the globe and even penetrating outer space in their endeavor to find the unknown.

We often think of mathematics and literature as polar opposites. But what if, instead, they were fundamentally linked? In her clear, insightful, laugh-out-loud funny debut, Once Upon a Prime, Professor Sarah Hart shows us the myriad connections between math and literature, and how understanding those connections can enhance our enjoyment of both. As the first woman to hold England’s oldest mathematical chair, Professor Hart is the ideal tour guide, taking us on an unforgettable journey through the books we thought we knew, revealing new layers of beauty and wonder.

What is life? Many scientists believe life can be reduced to ‘mechanistic’ factors, such as genes and information codes. Yet there is a growing army of scientists, philosophers and artists who reject this view. The gene metaphor is not only too simplistic but deeply misleading. If there is a way to reduce life to a single principle, that principle must acknowledge the creativity of life, turning genetic determinism on its head.

America’s first settlements, founding documents, and most important traditions are replete with religious sentiment. Today, religion continues to play an important role in the lives of American people - nearly 80 percent are religiously affiliated - and institutions. These audio lectures bring you face to face with the fascinating people, movements, groups, beliefs, and practices that have made the US one of the most religiously diverse nations in the history of the world.

An Anonymous-style rabble-rouser, an Arab Spring hacktivist, a black-hat hacker, an old-school cipherpunk, and an online troll are each offered a choice: go to prison or help protect the United States, putting their brains and skills to work for the government for one year. But being a white hat doesn't always mean you work for the good guys.

AI expert Yorick Wilks takes a journey through the history of artificial intelligence up to the present day, examining its origins, controversies, and achievements, as well as looking into just how it works. He also considers the future, assessing whether these technologies could menace our way of life and how we are all likely to benefit from AI applications in the years to come.

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.

For thousands of years mathematicians solved progressively more difficult algebraic equations, until they encountered the quintic equation, which resisted solution for three centuries. Working independently, two prodigies ultimately proved that the quintic cannot be solved by a simple formula. The first popular account of the mathematics of symmetry and order, The Equation That Couldn't Be Solved is told not through abstract formulas but in a beautifully written and dramatic account of the lives and work of some of the greatest and most intriguing mathematicians in history.

In the 1910s, as the birth control movement was born, two leaders emerged: Margaret Sanger and Mary Dennett. Sanger would go on to found Planned Parenthood, while Dennett’s name has largely faded from public awareness. Each held a radically different vision for what reproductive autonomy and birth control access should look like in America. Few are aware of the fierce personal and political rivalry that played out between Sanger and Dennett over decades—a battle that had a profound impact on the lives of American women.

When Amitav Ghosh began the research for his monumental cycle of novels the Ibis trilogy ten years ago, he was startled to learn how the lives of the nineteenth-century sailors and soldiers he wrote about were dictated not only by the currents of the Indian Ocean but also by the precious commodity carried in enormous quantities on those currents: opium. Most surprising of all, however, was the discovery that his own identity and family history were swept up in the story. Smoke and Ashes is at once a travelogue, a memoir, and an essay in history, drawing on decades of archival research.

Since we first set sail on the open sea, ships and their wrecks have been an inevitable part of human history. Archaeologists have made spectacular discoveries excavating these sunken ships, their protective underwater cocoon keeping evidence of past civilizations preserved. World renowned maritime archeologist David Gibbins ties together the stories of some of the most significant shipwrecks in time to form a single overarching narrative of world history.

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.