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.

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.

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.

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.

If you're like most people, geometry is a dimly remembered exercise you gladly left behind in the dust of ninth grade. It's plodding through a series of miniscule steps only to prove some fact about triangles that was obvious to you in the first place. That's not geometry. Okay, it is geometry, but only a tiny part, which has as much to do with geometry in all its flush modern richness as conjugating a verb has to do with a great novel. Shape reveals the geometry underneath some of the most important scientific, political, and philosophical problems we face.

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.

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.

In A Mind for Numbers, Dr. Oakley lets us in on the secrets to learning effectively - secrets that even dedicated and successful students wish they’d known earlier. Contrary to popular belief, math requires creative, as well as analytical, thinking. Most people think that there’s only one way to do a problem, when in actuality, there are often a number of different solutions - you just need the creativity to see them.

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.

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.

How did we get here? All cultures have a creation story, but a little over 150 years ago, Charles Darwin introduced a revolutionary new one. We, and all living things, exist because of the action of evolution on the first simple life form and its descendants. In How Evolution Explains Everything About Life, leading biologists and New Scientist take you on a journey of a lifetime, exploring the questions of whether life is inevitable or a one-off fluke and how it got kick-started.

"Correlation does not imply causation". This mantra has been invoked by scientists for decades and has led to a virtual prohibition on causal talk. But today, that taboo is dead. The causal revolution, sparked by Judea Pearl and his colleagues, has cut through a century of confusion and placed causality - the study of cause and effect - on a firm scientific basis.

For particularly brilliant theoretical physicists like James Clerk Maxwell, Paul Dirac, or Albert Einstein, the search for mathematical truths led to strange new understandings of the ultimate nature of reality. But what are these truths? What are the mysterious numbers that explain the universe? In Fantastic Numbers and Where to Find Them, the leading theoretical physicist and YouTube star Antonio Padilla takes us on an irreverent cosmic tour of nine of the most extraordinary numbers in physics, offering a startling picture of how the universe works.

Sean Carroll, theoretical physicist and one of this world’s most celebrated writers on science, rewrites the history of 20th-century physics. Already hailed as a masterpiece, Something Deeply Hidden shows for the first time that facing up to the essential puzzle of quantum mechanics utterly transforms how we think about space and time. His reconciling of quantum mechanics with Einstein’s theory of relativity changes, well, everything. Most physicists haven’t even recognized the uncomfortable truth: Physics has been in crisis since 1927.

Max Tegmark leads us on an astonishing journey through past, present and future, and through the physics, astronomy, and mathematics that are the foundation of his work, most particularly his hypothesis that our physical reality is a mathematical structure and his theory of the ultimate multiverse. In a dazzling combination of both popular and groundbreaking science, he not only helps us grasp his often mind-boggling theories, but he also shares with us some of the often surprising triumphs and disappointments that have shaped his life as a scientist.

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.

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

What is space? It isn't a question that most of us normally stop to ask. Space is the venue of physics; it's where things exist, where they move and take shape. Yet over the past few decades, physicists have discovered a phenomenon that operates outside the confines of space and time. The phenomenon - the ability of one particle to affect another instantly across the vastness of space - appears to be almost magical.

Einstein's steadfast refusal to accept certain aspects of quantum theory was rooted in his insistence that physics has to be about reality. Accordingly, he once derided as spooky action at a distance the notion that two elementary particles far removed from each other could nonetheless influence each others propertiesa hypothetical phenomenon his fellow theorist Erwin Schrdinger termed quantum entanglement.

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.

A physicist speeds across space, time, and everything in between showing that our elegant universe from the Higgs boson to antimatter to the most massive group of galaxies is shaped by hidden symmetries that have driven all our recent discoveries about the universe and all the ones to come. Why is the sky dark at night? Is it possible to build a shrink-ray gun? If there is antimatter, can there be antipeople? Why are past, present, and future our only options? Are time and space like a butterfly's wings? No one but Dave Goldberg, the coolest nerd physicist on the planet, could give a hyper-drive tour of the universe like this one.

Throughout history, scientists have come up with theories and ideas that just don't seem to make sense. These we call paradoxes. The paradoxes Al-Khalili offers are drawn chiefly from physics and astronomy and represent those that have stumped some of the finest minds. With elegant explanations that bring the listener inside the mind of those who've developed them, Al-Khalili helps us to see that, in fact, paradoxes can be solved if seen from the right angle.

Over a storied career, Daniel C. Dennett has engaged questions about science and the workings of the mind. His answers have combined rigorous argument with strong empirical grounding. And a lot of fun. Intuition Pumps and Other Tools for Thinking offers seventy-seven of Dennett’s most successful “imagination-extenders and focus-holders” meant to guide you through some of life’s most treacherous subject matter: evolution, meaning, mind, and free will.

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.

The Pleasure of Finding Things Out is a magnificent treasury of the best short works of Richard P. Feynman, from interviews and speeches to lectures and printed articles. A sweeping, wide-ranging collection, it presents an intimate and fascinating view of a life in science - a life like no other. From his ruminations on science in our culture to his Nobel Prize acceptance speech, this book will delight anyone interested in the world of ideas.

Throughout his distinguished and unconventional career, engineer-turned-molecular-biologist Douglas Axe has been asking the questions that much of the scientific community would rather silence. Now, he presents his conclusions in this brave and pioneering book. Axe argues that the key to understanding our origin is the "design intuition" - the innate belief held by all humans that tasks we would need knowledge to accomplish can be accomplished only by someone who has that knowledge.

Already internationally acclaimed for his elegant, lucid writing on the most challenging notions in modern physics, Sean Carroll is emerging as one of the greatest humanist thinkers of his generation as he brings his extraordinary intellect to bear not only on the Higgs boson and extra dimensions but now also on our deepest personal questions. Where are we? Who are we? Are our emotions, our beliefs, and our hopes and dreams ultimately meaningless out there in the void?

A unique fusion of philosophy and metaphysics set against the backdrop of contemporary culture. Have you ever wondered if the world is really there when you're not looking? We tend to take the reality of our world very much for granted. This book will lead you down the rabbit hole in search of something we can point to, hang our hats on, and say this is real.

In this illuminating book, the renowned theoretical physicist Lee Smolin argues that fundamental physics - the search for the laws of nature - is losing its way. Ambitious ideas about extra dimensions, exotic particles, multiple universes, and strings have captured the publics imagination -- and the imagination of experts.

In a rarified world of scientific research, a revolution has been brewing. Its activists are not anarchists, but rather Nobel Laureates in physics and economics and pony-tailed graduates, mathematicians, and computer scientists from all over the world. They have formed an iconoclastic think-tank and their radical idea is to create a new science: complexity. They want to know how a primordial soup of simple molecules managed to turn itself into the first living cell--and what the origin of life some four billion years ago can tell us about the process of technological innovation today.

The Chief Washington Correspondent for the New York Times presents a richly detailed, news-breaking, and conversation-changing look at the unprecedented political fight to fill the Supreme Court seat made vacant by Antonin Scalia’s death - using it to explain the paralyzing and all but irreversible dysfunction across all three branches in the nation’s capital.

Fearfully and Wonderfully Made takes listeners through their own bodies, delving into the molecular and even the quantum, and tells the story of our magnificent sensorium and what it means for the next wave of human potential. From the laboratories to the ordinary homes where these breakthroughs are taking place, the book explores our current sensory Renaissance and shows listeners how they, themselves, can heighten their own senses and experience the miraculous.

In The Power of Strangers, Joe Keohane sets out on a journey to discover what happens when we bridge the distance between us and people we don’t know. He learns that while we’re wired to sometimes fear, distrust, and even hate strangers, people and societies that have learned to connect with strangers benefit immensely.

A pause-resisting, existential romp through the life and times of the world’s most polarizing punctuation mark. Through her rollicking biography of the semicolon, Watson writes a guide to grammar that explains why we don’t need guides at all and refocuses our attention on the deepest, most primary value of language: true communication.

Who wore the first pants? Who painted the first masterpiece? Who first rode the horse? Who invented soap? This madcap adventure across ancient history uses everything from modern genetics to archaeology to uncover the geniuses behind these and other world-changing innovations. With a sharp sense of humor and boundless enthusiasm for the wonders of our ancient ancestors, Who Ate the First Oyster? profiles the perpetrators of the greatest firsts and catastrophes of prehistory.

How to Disappear is a unique and exhilarating accomplishment, overturning the dangerous modern assumption that somehow fame and visibility equate to success and happiness. Busch presents a field guide to invisibility, reacquainting us with the merits of remaining inconspicuousness, and finding genuine alternatives to a life of perpetual exposure. Accessing timeless truths in order to speak to our most urgent contemporary problems, she inspires us to develop a deeper appreciation for personal privacy in a vast and intrusive world.

Celebrated historian John Hirst offers a fascinating exploration of the qualities that made Europe a world-changing civilization. The Shortest History of Europe begins with a rapid overview of European civilization, describing its birth from an unlikely mixture of classical learning and Christianity and German warrior culture. Over the centuries, this unstable blend produced highly distinctive characters - pious knights and belligerent popes, and beyond - and its coming apart provided the dynamic of European history in modern times.

Planning the invasion of Normandy, the Allies knew that decoding the communications of the Nazi high command was imperative for its success. But standing in their way was an encryption machine they called Tunny (British English for “tuna”), which was vastly more difficult to crack than the infamous Enigma cipher.

For most of us, the only thing we know about flies is that they're annoying, and our usual reaction is to try to kill them. In Super Fly, the myth-busting biologist Jonathan Balcombe shows the order Diptera in all of its diversity, illustrating the essential role that flies play in every ecosystem in the world as pollinators, waste-disposers, predators, and food source; and how flies continue to reshape our understanding of evolution.

The year is 1919. The horror of the First World War is fresh for the protagonists of Time of the Magicians, each of whom finds himself at a crucial juncture. Benjamin is trying to flee his overbearing father and floundering in his academic career, living hand to mouth as a critic. Wittgenstein, by contrast, has dramatically decided to divest himself of the monumental fortune he stands to inherit, in search of spiritual clarity.

Corporations are broken, reflecting no purpose deeper than profit. But the tools we are relying on to fix them - corporate social responsibility, divestment, impact investing, and government control - risk making our problems worse. With lively storytelling and careful analysis, O’Leary and Valdmanis cut through the tired dogma of current economic thinking to reveal a hopeful truth: If we can make our corporations accountable to a deeper purpose, we can make capitalism both prosperous and good.