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. It ties together everything from basic arithmetic to compound interest, the circumference of a circle, trigonometry, calculus, and even infinity. In David Stipp's hands, Euler's identity formula becomes a contemplative stroll through the glories of mathematics. The result is an ode to this magical field.

    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.

    If you want to understand the greatest ideas that shaped our current cosmic cartography, read this book.”—Adam G. Riess, Nobel Laureate in Physics, 2011   This book provides a tour of the “greatest hits” of cosmological discoveries—the ideas that reshaped our universe over the past century. The cosmos, once understood as a stagnant place, filled with the ordinary, is now a universe that is expanding at an accelerating pace, propelled by dark energy and structured by dark matter. Priyamvada Natarajan, our guide to these ideas, is someone at the forefront of the research—an astrophysicist who literally creates maps of invisible matter in the universe. She not only explains for a wide audience the science behind these essential ideas but also provides an understanding of how radical scientific theories gain acceptance.   The formation and growth of black holes, dark matter halos, the accelerating expansion of the universe, the echo of the big bang, the discovery of exoplanets, and the possibility of other universes—these are some of the puzzling cosmological topics of the early twenty-first century. Natarajan discusses why the acceptance of new ideas about the universe and our place in it has never been linear and always contested even within the scientific community. And she affirms that, shifting and incomplete as science always must be, it offers the best path we have toward making sense of our wondrous, mysterious universe.

    However, while physicists celebrated these momentous discoveries—which presaged the era of big science and nuclear bombs—Europe was moving inexorably toward totalitarianism and war. In April of that year, about forty of the world’s leading physicists—including Werner Heisenberg, Lise Meitner, and Paul Dirac—came to Niels Bohr’s Copenhagen Institute for their annual informal meeting about the frontiers of physics. Physicist Gino Segrè brings to life this historic gathering, which ended with a humorous skit based on Goethe’s Faust—a skit that eerily foreshadowed events that would soon unfold. Little did the scientists know the Faustian bargains they would face in the near future. Capturing the interplay between the great scientists as well as the discoveries they discussed and debated, Segrè evokes the moment when physics—and the world—was about to lose its innocence.

    The ability to duplicate that process in a lab, once thought impossible, may now be closer than we think. Today, teams of scientists around the world are being assembled by the boldest entrepreneurs, big business, and governments to solve what is the most difficult technological challenge humanity has ever faced: building the equivalent of a star on earth. If their plans to capture star power are successful, they will unlock thousands, potentially millions, of years of clean, carbon-free energy. Not only would controlled nuclear fusion help solve the climate crisis, it could also make other highly desired technological ambitions possible—like journeying to the stars. Given the rising alarm over deterioration of the environment, and the strides being made in laser and magnetic field technology, powerful momentum is gathering behind fusion and the possibilities it offers. In The Star Builders, award-winning young plasma physicist Arthur Turrell “offers an optimistic outlook for the future of fusion power and is adamant about the need to invest in it” (The New York Times). Turrell describes fascinating star machines with ten times as many parts as the NASA Space Shuttle, and structures that extend over 400 acres in an accessible and entertaining account, spotlighting the individuals, firms, and institutions racing for the finish line: science-minded entrepreneurs like Jeff Bezos and Peter Thiel, companies like Goldman Sachs and Google, universities like Oxford and MIT, and virtually every rich nation. It’s an exciting and game-changing international quest that will make all of us winners.

    nd its place within a grander scheme, one of the most creative and original of contemporary scientists draws together recent advances in astrophysics and up-to-the-minute research to cast a piercing light on man's place in the cosmos.

    In Transcendence, Gaia Vince argues instead that modern humans are the product of a nuanced coevolution of our genes, environment, and culture that goes back into deep time. She explains how, through four key elements – fire, language, beauty, and time – our species diverged from the evolutionary path of all other animals, unleashing a compounding process that launched us into the Space Age and beyond. Provocative and poetic, Transcendence shows how a primate took dominion over nature and turned itself into something marvellous.

    Now he brings his considerable talents to the history of one of math's most enduring puzzles: the seemingly paradoxical nature of infinity.Is infinity a valid mathematical property or a meaningless abstraction? The nineteenth-century mathematical genius Georg Cantor's answer to this question not only surprised him but also shook the very foundations upon which math had been built. Cantor's counterintuitive discovery of a progression of larger and larger infinities created controversy in his time and may have hastened his mental breakdown, but it also helped lead to the development of set theory, analytic philosophy, and even computer technology.Smart, challenging, and thoroughly rewarding, Wallace's tour de force brings immediate and high-profile recognition to the bizarre and fascinating world of higher mathematics.

    It's the most miraculous substance on earth, responsible for our food, our weather, our water, and our ability to hear. In this exuberant book, gifted science writer Gabrielle Walker peels back the layers of our atmosphere with the stories of the people who uncovered its secrets: - A flamboyant Renaissance Italian discovers how heavy our air really is: The air filling Carnegie Hall, for example, weighs seventy thousand pounds. - A one-eyed barnstorming pilot finds a set of winds that constantly blow five miles above our heads. - An impoverished American farmer figures out why hurricanes move in a circle by carving equations with his pitchfork on a barn door. - A well-meaning inventor nearly destroys the ozone layer. - A reclusive mathematical genius predicts, thirty years before he's proved right, that the sky contains a layer of floating metal fed by the glowing tails of shooting stars.

    Scientists have discovered that the way cats and dogs lap up liquids can be explained by the laws of surface tension, how ants navigate is due to polarized light, and why pistol shrimps can generate enough force to destroy aquarium glass using their ”elbows”!Each of FURRY LOGIC's six chapters tackles a separate branch of physics and, through more than 30 animal case studies, examines each creature's key features before describing the ways physics is at play in its life, how the connection between physics and animal behavior was discovered, and what remains to be found out. Science journalists Matin Durrani and Liz Kalaugher make the incredible interdisciplinary world of animals accessible to all, in an enthralling and entertaining read.

    But what if science itself can’t be relied on?Medicine, education, psychology, health, parenting – wherever it really matters, we look to science for advice. Science Fictions reveals the disturbing flaws that undermine our understanding of all of these fields and more.While the scientific method will always be our best and only way of knowing about the world, in reality the current system of funding and publishing science not only fails to safeguard against scientists’ inescapable biases and foibles, it actively encourages them. From widely accepted theories about ‘priming’ and ‘growth mindset’ to claims about genetics, sleep, microbiotics, as well as a host of drugs, allergies and therapies, we can trace the effects of unreliable, overhyped and even fraudulent papers in austerity economics, the anti-vaccination movement and dozens of bestselling books – and occasionally count the cost in human lives.Stuart Ritchie was among the first people to help expose these problems. In this vital investigation, he gathers together the evidence of their full and shocking extent – and how a new reform movement within science is fighting back. Often witty yet deadly serious, Science Fictions is at the vanguard of the insurgency, proposing a host of remedies to save and protect this most valuable of human endeavours from itself.

    The effects of homeopathy don’t go away under rigorous scientific conditions. The laws of nature aren’t what they used to be. Thirty years on, no one has an explanation for a seemingly intelligent signal received from outer space. The US Department of Energy is re-examining cold fusion because the experimental evidence seems too solid to ignore. The placebo effect is put to work in medicine while doctors can’t agree whether it even exists.In an age when science is supposed to be king, scientists are beset by experimental results they simply can’t explain. But, if the past is anything to go by, these anomalies contain the seeds of future revolutions. While taking readers on an entertaining tour d’horizon of the strangest of scientific findings – involving everything from our lack of free will to Martian methane that offers new evidence of life on the planet – Michael Brooks argues that the things we don’t understand are the key to what we are about to discover.This mind-boggling but entirely accessible survey of the outer limits of human knowledge is based on a short article by Michael Brooks for New Scientist magazine. It became the sixth most circulated story on the internet in 2005, and provoked widespread comment and compliments (Google “13 things that do not make sense” to see).Michael Brooks has now dug deeply into those mysteries, with extraordinary results.

    The Panda's Thumb will introduce a new generation of readers to this unique writer, who has taken the art of the scientific essay to new heights.Were dinosaurs really dumber than lizards? Why, after all, are roughly the same number of men and women born into the world? What led the famous Dr. Down to his theory of mongolism, and its racist residue? What do the panda's magical "thumb" and the sea turtle's perilous migration tell us about imperfections that prove the evolutionary rule? The wonders and mysteries of evolutionary biology are elegantly explored in these and other essays by the celebrated natural history writer Stephen Jay Gould.

    The story of how we got from there to here is full of fascinating people, and in this elegant, entertaining book, Paul Strathern introduces us to ancient philosophers, medieval alchemists, and the earliest chemists-and to Dimitri Mendeleyev, the card-playing nineteenth-century Russian who claimed that the answers came to him in a dream. "Chemistry has been a neglected area of science writing, and Mendeleyev, the king of chemistry, is a largely forgotten genius. [This book] goes a long way toward correcting this injustice." (Simon Singh, author of Fermat's Last Theorem, in the Sunday Telegraph)

    Armed with the extraordinary new discoveries about our genes, Ridley turns his attention to the nature versus nurture debate to bring the first popular account of the roots of human behaviour. What makes us who we are?In February 2001 it was announced that the genome contains not 100,000 genes as originally expected but only 30,000. This startling revision led some scientists to conclude that there are simply not enough human genes to account for all the different ways people behave: we must be made by nurture, not nature.Matt Ridley argues that the emerging truth is far more interesting than this myth. Nurture depends on genes, too, and genes need nurture. Genes not only predetermine the broad structure of the brain; they also absorb formative experiences, react to social cues and even run memory. They are consequences as well as causes of the will.Published fifty years after the discovery of the double helix of DNA, Nature via Nurture chronicles a new revolution in our understanding of genes. Ridley recounts the hundred years' war between the partisans of nature and nurture to explain how this paradoxical creature, the human being, can be simultaneously free-willed and motivated by instinct and culture. Nature via Nurture is an enthralling, up-to-the-minute account of how genes build brains to absorb experience.