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.

“Even now, nearly a century after her death, Marie Curie remains the only female scientist most people can name,” writes Dava Sobel at the opening of her shining portrait of the sole Nobel laureate decorated in two separate fields of science—Physics in 1903 with her husband Pierre and Chemistry by herself in 1911. And yet, Sobel makes clear, as brilliant and creative as she was in the laboratory, Marie Curie was equally passionate outside it.

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.

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.

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.

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.

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.

No 20th-century American scientist is better known to a wider spectrum of people than Richard P. Feynman (1918-1988), physicist, teacher, author, and cultural icon. His autobiographies and biographies have been read and enjoyed by millions of readers around the world, while his wit and eccentricities have made him the subject of TV specials and even a theatrical film.

This audiobook narrated by acclaimed archaeologist and best-selling author Eric Cline offers a breathtaking account of how the collapse of an ancient civilized world ushered in the first Dark Ages.

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.

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.

It is rare for life to change Earth, yet three organisms have profoundly transformed our planet over the long course of its history. Elemental reveals how microbes, plants, and people used the fundamental building blocks of life to alter the climate, and with it, the trajectory of life on Earth in the past, present, and future. Taking listeners from the deep geologic past to our current era of human dominance, Stephen Porder focuses on five of life’s essential elements—hydrogen, oxygen, carbon, nitrogen, and phosphorus.

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.

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.

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.

How the Earth Works takes you on an astonishing journey through time and space. In 48 lectures, you will look at what went into making our planet - from the big bang, to the formation of the solar system, to the subsequent evolution of Earth.

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.

Astrophysicist Neil deGrasse Tyson has attracted one of the world’s largest online followings with his fascinating, widely accessible insights into science and our universe. Now, Tyson invites us to go behind the scenes of his public fame by unveiling his candid correspondence with people across the globe who have sought him out in search of answers. In this hand-picked collection of 100 letters, Tyson draws upon cosmic perspectives to address a vast array of questions about science, faith, philosophy, life, and of course, Pluto.

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.

Dr. Catherine Kleier invites us to open our eyes to the phenomenal world of plant life and to the process she calls “Natura Revelata”, the joy of celebrating and learning from the secrets of nature. As Dr. Kleier shares her knowledge with contagious excitement for her subject, she emphasizes the middle ground: Instead of focusing on cell microbiology or the study of ecosystems and habitats, she stresses the basic biology, function, and the amazing adaptations of the plants we see all around us.

In this illuminating audiobook, Tyson and coauthor James Trefil, a renowned physicist and science popularizer, take on the big questions that humanity has been posing for millennia - How did life begin? What is our place in the universe? Are we alone? - and provide answers based on the most current data, observations, and theories.

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.

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.

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 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.

One of the great insights of science is that the universe has an underlying order. The supreme goal of physicists is to understand this order through laws that describe the behavior of the most basic particles and the forces between them. For centuries, we have searched for these laws by studying the results of experiments. Since the 1970s, however, experiments at the world's most powerful atom-smashers have offered few new clues. So some of the world's leading physicists have looked to a different source of insight: modern 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.

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.

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.

Physics has always been engaged in the pursuit of expanding our knowledge of the nature of matter and the world around us. But how can you use experiments to further this quest? How do you measure the mass of a particle a trillion times smaller than a grain of sand? And, finally, why is all this important? In The Matter of Everything, accelerator physicist Suzie Sheehy introduces us to the people who, through a combination of genius, persistence and luck, staged the experiments that changed the course of history.

Space is big. Really big. You just won't believe how vastly, hugely, mind-bogglingly big it is. I mean, you may think it's a long way down the street to the chemist, but that's just peanuts to space.' Douglas Adams, Hitch-hiker's Guide to the Galaxy.We human beings have trouble with infinity - yet infinity is a surprisingly human subject. Philosophers and mathematicians have gone mad contemplating its nature and complexity - yet it is a concept routinely used by schoolchildren. Exploring the infinite is a

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.

Through Euclid's Window Leonard Mlodinow brilliantly and delightfully leads us on a journey through five revolutions in geometry, from the Greek concept of parallel lines to the latest notions of hyperspace. Here is an altogether new, refreshing, alternative history of math revealing how simple questions anyone might ask about space -- in the living room or in some other galaxy -- have been the hidden engine of the highest achievements in science and technology.

Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a number at the heart of that mystery: phi, or 1.6180339887.... This curious mathematical relationship, widely known as "The Golden Ratio", was discovered by Euclid more than 2,000 years ago. Since then it has shown a propensity to appear in the most astonishing variety of places.

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.

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.

What is the best way to think about the world? How often do we consider how our own thinking might impact the way we approach our daily decisions? Could it help or hinder our relationships, our careers, or even our health? As acclaimed mathematician David Sumpter shows, thinking about thinking is something we rarely do, yet it is something science questions all the time. He has spent decades studying what we could all learn from the mindsets of scientists, and Four Ways of Thinking is the result.