When Hitler came to power in the 1930s, Germany had led the world in science, mathematics, and technology for nearly four decades. But while the fact that Hitler swiftly pressed Germany's scientific prowess into the service of a brutal, racist, xenophobic ideology is well known, few realize that German scientists had knowingly broken international agreements and basic codes of morality to fashion deadly weapons even before World War I.

Claude Shannon was a tinkerer, a playful wunderkind, a groundbreaking polymath, and a digital pioneer whose insights made the Information Age possible. He constructed fire-breathing trumpets and customized unicycles, outfoxed Vegas casinos, and built juggling robots, but he also wrote the seminal text of the Digital Revolution. That work allowed scientists to measure and manipulate information as objectively as any physical object. His work gave mathematicians and engineers the tools to bring that world to pass.

"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.

In The Idea Factory, New York Times Magazine writer Jon Gertner reveals how Bell Labs served as an incubator for scientific innovation from the 1920s through the1980s. In its heyday, Bell Labs boasted nearly 15,000 employees, 1200 of whom held PhDs and 13 of whom won Nobel Prizes. Thriving in a work environment that embraced new ideas, Bell Labs scientists introduced concepts that still propel many of today’s most exciting technologies.

Insights—like Darwin's understanding of the way evolution actually works, and Watson and Crick's breakthrough discoveries about the structure of DNA-can change the world. We also need insights into the everyday things that frustrate and confuse us so that we can more effectively solve problems and get things done. Yet we know very little about when, why, or how insights are formed—or what blocks them. In Seeing What Others Don't, renowned cognitive psychologist Gary Klein unravels the mystery.

In How the Laser Happened, Nobel laureate Charles Townes provides a highly personal look at some of the leading events in 20th-century physics. This lively memoir, packed with firsthand accounts and historical anecdotes, is an invaluable resource for anyone interested in the history of science and an inspiring example for students considering scientific careers.

Every physicist agrees quantum mechanics is among humanity's finest scientific achievements. But ask what it means, and the result will be a brawl. For a century, most physicists have followed Niels Bohr's Copenhagen interpretation and dismissed questions about the reality underlying quantum physics as meaningless. A mishmash of solipsism and poor reasoning, Copenhagen endured, as Bohr's students vigorously protected his legacy, and the physics community favored practical experiments over philosophical arguments.

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.

Scientific developments radically alter our understanding of the world. Whether it's technology, climate change, health research, or the latest revelations of neuroscience, physics, or psychology, science has, as Edge editor John Brockman says, "become a big story, if not the big story". In that spirit this new addition to Edge.org's fascinating series asks a powerful and provocative question: What do you consider the most interesting and important recent scientific news?

In 2013, the New York Times published an obituary for Yvonne Brill. It began: “She made a mean beef stroganoff, followed her husband from job to job, and took eight years off from work to raise three children.” It wasn’t until the second paragraph that readers discovered why the Times had devoted several hundred words to her life: Brill was a brilliant rocket scientist who invented a propulsion system to keep communications satellites in orbit, and had recently been awarded the National Medal of Technology and Innovation.

In this fascinating and illuminating work, Leonard Mlodinow guides us through the critical eras and events in the development of science, all of which, he demonstrates, were propelled forward by humankind's collective struggle to know. From the birth of reasoning and culture to the formation of the studies of physics, chemistry, biology, and modern-day quantum physics, we come to see that much of our progress can be attributed to simple questions - why? how? - bravely asked.

American taxpayers spend $30 billion annually funding biomedical research, but over half of these studies can't be replicated due to poor experimental design, improper methods, and sloppy statistics. Bad science doesn't just hold back medical progress, it can sign the equivalent of a death sentence for terminal patients. In Rigor Mortis, Richard Harris explores these urgent issues with vivid anecdotes, personal stories, and interviews with the top biomedical researchers. We need to fix our dysfunctional biomedical system - before it's too late.

Warnings is the story of the future of national security, threatening technologies, the US economy, and possibly the fate of civilization. In Greek mythology Cassandra foresaw calamities, but was cursed by the gods to be ignored. Modern-day Cassandras clearly predicted the disasters of Katrina, Fukushima, the Great Recession, the rise of ISIS, and many more. Like the mythological Cassandra, they were ignored. There are others right now warning of impending disasters, but how do we know which warnings are likely to be right?

Under the aegis of machine learning in our data-driven machine age, computers are programming themselves and learning about - and solving - an extraordinary range of problems, from the mundane to the most daunting. Today it is machine learning programs that enable Amazon and Netflix to predict what users will like, Apple to power Siri's ability to understand voices, and Google to pilot cars.

In the 1970s, amid severe cutbacks in physics funding, a small group of underemployed physicists in Berkeley decided to throw off the constraints of academia and explore the wilder side of science. Dubbing themselves the “Fundamental Fysiks Group,” they pursued a freewheeling, speculative approach to physics. Some dabbled with LSD while conducting experiments. They studied quantum theory alongside Eastern mysticism and psychic mind reading, discussing the latest developments while lounging in hot tubs.

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?

Aubrey Clayton traces the history of how statistics went astray, beginning with the groundbreaking work of the 17th-century mathematician Jacob Bernoulli and winding through gambling, astronomy, and genetics. Clayton recounts the feuds among rival schools of statistics, exploring the surprisingly human problems that gave rise to the discipline and the all-too-human shortcomings that derailed it.

Claude Shannon was a tinkerer, a playful wunderkind, a groundbreaking polymath, and a digital pioneer whose insights made the Information Age possible. He constructed fire-breathing trumpets and customized unicycles, outfoxed Vegas casinos, and built juggling robots, but he also wrote the seminal text of the Digital Revolution. That work allowed scientists to measure and manipulate information as objectively as any physical object. His work gave mathematicians and engineers the tools to bring that world to pass.

Michael Schneider leads us on a spectacular journey along the numbers one through 10 to explore the mathematical principles made visible in flowers, shells, crystals, plants, and the human body, expressed in the symbolic language of folk sayings and fairy tales, myth and religion, art and architecture. This is a new view of mathematics, not the one we learned at school but a comprehensive guide to the patterns that recur through the universe and underlie human affairs.

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.

Nearly a hundred years after its publication, Kurt Gödel's famous proof that every mathematical system must contain propositions that are true - yet never provable - continues to unsettle mathematics, philosophy, and computer science. Yet unlike Einstein, with whom he formed a warm and abiding friendship, Gödel has long escaped all but the most casual scrutiny of his life.

As Nobel Prize-winning economist Ronald Coase once cynically observed, "If you torture data long enough, it will confess." Lying with statistics is a time-honored con. In Standard Deviations, economics professor Gary Smith walks us through the various tricks and traps that people use to back up their own crackpot theories. Sometimes, the unscrupulous deliberately try to mislead us. Other times, the well-intentioned are blissfully unaware of the mischief they are committing.

Data Science for Dummies is the perfect starting point for IT professionals and students who want a quick primer on all areas of the expansive data science space. With a focus on business cases, the book explores topics in big data, data science, and data engineering, and how these three areas are combined to produce tremendous value. If you want to pick-up the skills you need to begin a new career or initiate a new project, listening to this book will help you understand what technologies, programming languages, and mathematical methods on which to focus.

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 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.

We rely on effective research in many areas of life, and at times our lives even depend on it. But what is it that makes research effective? Any good research rests upon, above all else, method. In these 24 dynamic lectures, you’ll discover the remarkable procedures and techniques that make research such a powerful tool. This brilliantly conceived course gives you a deep, detailed, and practical guide to proper research methods - methods that are broadly applicable to all kinds of research.

In the 18th century, the British minister and mathematician Thomas Bayes devised a theorem that allowed him to assign probabilities to events that had never happened before. It languished in obscurity for centuries until computers came along and made it easy to crunch the numbers. Now, as the foundation of big data, Bayes's formula has become a linchpin of the digital economy. But here's where things get interesting: Bayes's theorem can also be used to lay odds on the existence of extraterrestrial intelligence, and on the biggest question of all: how long will humanity survive?

All of our relationships and decisions involve trading at some level. This is a book about decision-making through the lens of a professional prop trader. For years, behavioral and cognitive scientists have shown us how human decision-making is flawed and biased. But how do you learn to avoid these problems in day-to-day decisions where you have to react in real-time? What are the important things to think about and to act on?

Manias, Panics, and Crashes is a scholarly and entertaining account of the way that mismanagement of money and credit has led to financial explosions over the centuries. This seventh edition of an investment classic has been thoroughly revised and expanded following the latest crises to hit international markets. Renowned economist Robert Z. Aliber introduces the concept that global financial crises in recent years are not independent events, but symptomatic of an inherent instability in the international system.

Warnings is the story of the future of national security, threatening technologies, the US economy, and possibly the fate of civilization. In Greek mythology Cassandra foresaw calamities, but was cursed by the gods to be ignored. Modern-day Cassandras clearly predicted the disasters of Katrina, Fukushima, the Great Recession, the rise of ISIS, and many more. Like the mythological Cassandra, they were ignored. There are others right now warning of impending disasters, but how do we know which warnings are likely to be right?