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.    

Author Jim Holt explores the greatest metaphysical mystery of all: why is there something rather than nothing? This runaway best seller, which has captured the imagination of critics and the public alike, traces our latest efforts to grasp the origins of the universe. Holt adopts the role of cosmological detective, traveling the globe to interview a host of celebrated scientists, philosophers, and writers.

The smartphones in our pockets and computers like brains. The vagaries of game theory and evolutionary biology. Nuclear weapons and self-replicating spacecrafts. All bear the fingerprints of one remarkable, yet largely overlooked, man: John von Neumann.

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.

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. 

Benny Lewis is the creator of www.fluentin3months.com, the largest language-learning blog in the world. His proven techniques break down language learning myths and replace them with practical "language hacks" that take advantage of the skills we already possess. Fluent in 3 Months provides everything you need to make learning a new language fast, intuitive, and fun.

In the 1940s and '50s, a group of eccentric geniuses - led by John von Neumann - gathered at the newly created Institute for Advanced Study in Princeton, New Jersey. Their joint project was the realization of the theoretical universal machine, an idea that had been put forth by mathematician Alan Turing. This group of brilliant engineers worked in isolation, almost entirely independent from industry and the traditional academic community. But because they relied exclusively on government funding, the government wanted its share of the results....

Although mammals and birds are widely regarded as the smartest creatures on earth, it has lately become clear that a very distant branch of the tree of life has also sprouted higher intelligence: the cephalopods, consisting of the squid, the cuttlefish, and above all the octopus. In captivity, octopuses have been known to identify individual human keepers, raid neighboring tanks for food, turn off lightbulbs by spouting jets of water, plug drains, and make daring escapes.

Statistics are everywhere, as integral to science as they are to business, and in the popular media hundreds of times a day. In this age of big data, a basic grasp of statistical literacy is more important than ever if we want to separate the fact from the fiction, the ostentatious embellishments from the raw evidence - and even more so if we hope to participate in the future, rather than being simple bystanders.

How does the brain generate a conscious thought? And why does so much of our knowledge remain unconscious? Thanks to clever psychological and brain-imaging experiments, scientists are closer to cracking this mystery than ever before. In this lively book, Stanislas Dehaene describes the pioneering work his lab and the labs of other cognitive neuroscientists worldwide have accomplished in defining, testing, and explaining the brain events behind a conscious state.

In lyric, accessible prose, Carlo Rovelli invites us to consider questions about the nature of time that continue to puzzle physicists and philosophers alike. For most listeners, this is unfamiliar terrain. We all experience time, but the more scientists learn about it, the more mysterious it appears. We think of it as uniform and universal, moving steadily from past to future, measured by clocks. Rovelli tears down these assumptions one by one, revealing a strange universe where, at the most fundamental level, time disappears.

Two of the boldest and most creative scientists of all time were Michael Faraday (1791-1867) and James Clerk Maxwell (1831-1879). This is the story of how these two men - separated in age by 40 years - discovered the existence of the electromagnetic field and devised a radically new theory which overturned the strictly mechanical view of the world that had prevailed since Newton's time.

James Gleick, the author of the best sellers Chaos and Genius, now brings us a work just as astonishing and masterly: A revelatory chronicle and meditation that shows how information has become the modern era’s defining quality - the blood, the fuel, the vital principle of our world. The story of information begins in a time profoundly unlike our own, when every thought and utterance vanishes as soon as it is born.

One of our greatest philosophers and scientists of the mind asks where the self comes from - and how our selves can exist in the minds of others. I Am a Strange Loop argues that the key to understanding selves and consciousness is the "strange loop" - a special kind of abstract feedback loop inhabiting our brains. The most central and complex symbol in your brain is the one called "I". The "I" is the nexus in our brain, one of many symbols seeming to have free will and to have gained the paradoxical ability to push particles around, rather than the reverse.

Robert Oppenheimer was among the most brilliant and divisive of men. As head of the Los Alamos Laboratory, he oversaw the successful effort to beat the Nazis in the race to develop the first atomic bomb – a breakthrough that was to have eternal ramifications for mankind and that made Oppenheimer the “Father of the Atomic Bomb.” But with his actions leading up to that great achievement, he also set himself on a dangerous collision course with Senator Joseph McCarthy and his witch-hunters. In Robert Oppenheimer: A Life Inside the Center, Ray Monk, author of peerless biographies of Ludwig Wittgenstein and Bertrand Russell, goes deeper than any previous biographer in the quest to solve the enigma of Oppenheimer’s motivations and his complex personality.

Nobel Laureate Eugene Wigner once wondered about "the unreasonable effectiveness of mathematics" in the formulation of the laws of nature. Is God a Mathematician? investigates why mathematics is as powerful as it is. From ancient times to the present, scientists and philosophers have marveled at how such a seemingly abstract discipline could so perfectly explain the natural world. More than that - mathematics has often made predictions, for example, about subatomic particles or cosmic phenomena that were unknown at the time, but later were proven to be true.

The discovery of the quantum - the idea, born in the early 1900s in a remote corner of physics, that energy comes in finite packets instead of infinitely divisible quantities - planted a rich set of metaphors in the popular imagination. Quantum imagery and language now bombard us like an endless stream of photons. Phrases such as multiverse, quantum leap, alternate universe, the uncertainty principle, and Schrödinger's cat get reinvented continually in cartoons and movies, coffee mugs and T-shirts, and fiction and philosophy.

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.

Werner Heisenberg's "uncertainty principle" challenged centuries of scientific understanding, placed him in direct opposition to Albert Einstein, and put Niels Bohr in the middle of one of the most heated debates in scientific history. Heisenberg's theorem stated that there were physical limits to what we could know about sub-atomic particles; this "uncertainty" would have shocking implications.

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.

Militant atheism is on the rise. In recent years, Richard Dawkins, Sam Harris, Daniel Dennett, and Christopher Hitchens have produced a steady stream of best-selling books denigrating religious belief. These authors are merely the leading edge of a larger movement that includes much of the scientific community. In response, mathematician David Berlinski, himself a secular Jew, delivers a biting defense of religious thought.

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.

Knowledge is a big subject, says Stuart Firestein, but ignorance is a bigger one. And it is ignorance - not knowledge - that is the true engine of science. Most of us have a false impression of science as a surefire, deliberate, step-by-step method for finding things out and getting things done. In fact, says Firestein, more often than not, science is like looking for a black cat in a dark room, and there may not be a cat in the room.

In these brilliant essays, Lightman explores the emotional life of science, the power of imagination, the creative moment, and the alternate ways in which scientists and humanists think about the world. Along the way, he provides in-depth portraits of some of the great geniuses of our time, including Albert Einstein, Richard Feynman, Edward Teller, and astronomer Vera Rubin. Thoughtful, beautifully written, and wonderfully original, A Sense of the Mysterious confirms Alan Lightman's unique position at the crossroads of science and art.