Best known as one of the world's greatest painters, he sketched the foundations for inventions that would not come to fruition for centuries. Born a bastard in a hillside village in northern Italy, Leonardo became the protégé of princes, popes, and kings. He mastered so many branches of science that scholars still debate whether he was greater as an anatomist, botanist, cartographer, engineer, geographer, or naturalist. Nevertheless, he died unhappy, believing he had failed to work the miracles of which he had dreamed. Here, from New York Times bestselling author Anna Abraham, is his extraordinary story.

    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.

    But a dispute over its discovery sowed the seeds of discontent between two of the greatest scientific giants of all time - Sir Isaac Newton and Gottfried Wilhelm Leibniz." "Today Newton and Leibniz are generally considered the twin independent inventors of calculus. They are both credited with giving mathematics its greatest push forward since the time of the Greeks. Had they known each other under different circumstances, they might have been friends. But in their own lifetimes, the joint glory of calculus was not enough for either and each declared war against the other, openly and in secret." This long and bitter dispute has been swept under the carpet by historians - perhaps because it reveals Newton and Leibniz in their worst light - but The Calculus Wars tells the full story in narrative form for the first time. This history ultimately exposes how these twin mathematical giants were brilliant, proud, at times mad, and in the end completely human.

    In Turing’s Cathedral, George Dyson focuses on a small group of men and women, led by John von Neumann at the Institute for Advanced Study in Princeton, New Jersey, who built one of the first computers to realize Alan Turing’s vision of a Universal Machine. Their work would break the distinction between numbers that mean things and numbers that do things—and our universe would never be the same. Using five kilobytes of memory (the amount allocated to displaying the cursor on a computer desktop of today), they achieved unprecedented success in both weather prediction and nuclear weapons design, while tackling, in their spare time, problems ranging from the evolution of viruses to the evolution of stars. Dyson’s account, both historic and prophetic, sheds important new light on how the digital universe exploded in the aftermath of World War II. The proliferation of both codes and machines was paralleled by two historic developments: the decoding of self-replicating sequences in biology and the invention of the hydrogen bomb. It’s no coincidence that the most destructive and the most constructive of human inventions appeared at exactly the same time.  How did code take over the world? In retracing how Alan Turing’s one-dimensional model became John von Neumann’s two-dimensional implementation, Turing’s Cathedral offers a series of provocative suggestions as to where the digital universe, now fully three-dimensional, may be heading next.

    D.E. Boyer takes us on a fascinating journey from the depths of despair to an amazing quantum world where anything is possible. First, we will learn how to defend ourselves against the chaos in our minds, then we will learn how to rekindle the magic in our hearts. Along the way, the wisdom of Socrates and the myth of Narcissus will transform the way we think and feel. Boyer then shows us how the military teaches their Navy Seal recruits how to handle their thoughts and feelings when someone is trying to kill them, so we can better handle our bosses, spouses, and children when it feels like they are trying to kill us. We will also get a glimpse of death through the eyes of someone who sees people die every day, giving us a much greater appreciation for life. With extremely amusing stories from her own life that touch on her dysfunctional upbringing and traumatizing career as an intensive care nurse, Boyer teaches us how to control our anxiety, boost our fragile self-esteem, and get into a state of flow so that we can spend most of our time loving life, rather than dreading it. She also gives us crucial health and nutrition tips so that we can live longer with our newfound peace and joy, and she shows us how to be more successful at life by being a better friend, spouse, and parent. With every step we take on this path, we'll find ourselves flirting with the hidden power of the mind, a power that often lies just beyond most people's reach. Only by mastering the basics of thinking and feeling can we gain access to this power. Once the door is unlocked, we will enter another dimension, a quantum world where time is irrelevant and the magic of our mind is waiting to be found.

    Athos, Greece, to haul off monks engaged in a dangerously heretical practice known as Name Worshipping. Exiled to remote Russian outposts, the monks and their mystical movement went underground. Ultimately, they came across Russian intellectuals who embraced Name Worshipping--and who would achieve one of the biggest mathematical breakthroughs of the twentieth century, going beyond recent French achievements.Loren Graham and Jean-Michel Kantor take us on an exciting mathematical mystery tour as they unravel a bizarre tale of political struggles, psychological crises, sexual complexities, and ethical dilemmas. At the core of this book is the contest between French and Russian mathematicians who sought new answers to one of the oldest puzzles in math: the nature of infinity. The French school chased rationalist solutions. The Russian mathematicians, notably Dmitri Egorov and Nikolai Luzin--who founded the famous Moscow School of Mathematics--were inspired by mystical insights attained during Name Worshipping. Their religious practice appears to have opened to them visions into the infinite--and led to the founding of descriptive set theory.The men and women of the leading French and Russian mathematical schools are central characters in this absorbing tale that could not be told until now. Naming Infinity is a poignant human interest story that raises provocative questions about science and religion, intuition and -creativity.

    Refusing to cave in to society's rules, Eleanor's exuberant style, wavering voice and lack of Hollywood beauty are fodder for the media.First Lady for thirteen years, Eleanor redefines and exploits this role to a position ofpower. Using her influence she champions for Jews, African Americans and women. Living through two world wars Eleanor witnesses thousands of graves, broken bodies and grieving families. After visiting troops in the Pacific she says:"If we don't make this a more decent world to live in I don't see how we can look these boys in the eyes."She defies a post-war return to status quo and establishes the Universal Declarationof Human Rights within the U.N. She earns her way to being named "First Lady of the World." The audacity of this woman to live out her own destiny challenges us to do the same. After all, it's not about Eleanor. Her story is history.  It's about us.

    For centuries following the fall of Rome, western Europe was a benighted backwater, a world of subsistence farming, minimal literacy, and violent conflict. Meanwhile Arab culture was thriving, dazzling those Europeans fortunate enough to catch even a glimpse of the scientific advances coming from Baghdad, Antioch, or the cities of Persia, Central Asia, and Muslim Spain. T here, philosophers, mathematicians, and astronomers were steadily advancing the frontiers of knowledge and revitalizing the works of Plato and Aristotle. I n the royal library of Baghdad, known as the House of Wisdom, an army of scholars worked at the behest of the Abbasid caliphs. At a time when the best book collections in Europe held several dozen volumes, the House of Wisdom boasted as many as four hundred thousand.Even while their countrymen waged bloody Crusades against Muslims, a handful of intrepid Christian scholars, thirsty for knowledge, traveled to Arab lands and returned with priceless jewels of science, medicine, and philosophy that laid the foundation for the Renaissance. I n this brilliant, evocative book, Lyons shows just how much "Western" culture owes to the glories of medieval Arab civilization, and reveals the untold story of how Europe drank from the well of Muslim learning.

    But the so-called Dark Ages also gave us the first universities, eyeglasses, and mechanical clocks, proving that the Middle Ages were home to a vibrant scientific culture.In The Light Ages, Cambridge science historian Seb Falk takes us on an immersive tour of medieval science through the story of one fourteenth-century monk, John of Westwyk. From multiplying Roman numerals to navigating by the stars, curing disease, and telling time with an ancient astrolabe, we learn emerging science alongside Westwyk, while following the gripping story of the struggles and successes of an ordinary man in a precarious world. An enlightening history that argues that these times weren’t so dark after all, The Light Ages shows how medieval ideas continue to color how we see the world today.

    In it, we follow them from sixth-century Alexandria to ninth-century Baghdad, from Muslim Cordoba to Catholic Toledo, from Salerno’s medieval medical school to Palermo, capital of Sicily’s vibrant mix of cultures and – finally – to Venice, where that great merchant city’s printing presses would enable Euclid’s geometry, Ptolemy’s system of the stars and Galen’s vast body of writings on medicine to spread even more widely. In tracing these fragile strands of knowledge from century to century, from east to west and north to south, Moller also reveals the web of connections between the Islamic world and Christendom, connections that would both preserve and transform astronomy, mathematics and medicine from the early Middle Ages to the Renaissance. Vividly told and with a dazzling cast of characters, The Map of Knowledge is an evocative, nuanced and vibrant account of our common intellectual heritage.

    Britain has always been a land of gallows, and every town had its hanging post and local 'turn off man.' First these men were criminals doing the work to save their own necks, and then later they were specialists in the trade of judicial killing. From the late Victorian period, the public hangman became a professional, and in the twentieth century the mechanics of hanging were streamlined as the executioners became adept at their craft. Britain's Most Notorious Hangmen tells the stories of the men who worked with their deadly skills at Tyburn tree or at the scaffolds in the prison yards across the country. Most were steeled to do the work by drink, and many suffered deeply from their despised profession. Here the reader will find the tale of the real Jack Ketch, the cases of neck-stretchers from the drunks like Curry and Askern, to the local workers of the ropes, Throttler Smith and the celebrated Billington and Pierrepoint dynasty. Along with some of the stories of famous killers such as William Palmer and James Bloomfield Rush, here are the bunglings, failures and desperate lives of the notorious hangmen, some who could entertain the vast crowds enjoying the show, and others who always faced the task as a terrible ordeal.

    It certainly is the strangest idea that humans have ever thought. Where did it come from and what is it telling us about our Universe? Can there actually be infinities? Is matter infinitely divisible into ever-smaller pieces? But infinity is also the place where things happen that don't. All manner of strange paradoxes and fantasies characterize an infinite universe. If our Universe is infinite then an infinite number of exact copies of you are, at this very moment, reading an identical sentence on an identical planet somewhere else in the Universe. Now Infinity is the darling of cutting edge research, the measuring stick used by physicists, cosmologists, and mathematicians to determine the accuracy of their theories. From the paradox of Zeno’s arrow to string theory, Cambridge professor John Barrow takes us on a grand tour of this most elusive of ideas and describes with clarifying subtlety how this subject has shaped, and continues to shape, our very sense of the world in which we live. The Infinite Book is a thoroughly entertaining and completely accessible account of the biggest subject of them all–infinity.

    This volume contains two of his most important works: The Epitome of Copernican Astronomy (books 4 and 5 of which are translated here) is a textbook of Copernican science, remarkable for the prominence given to physical astronomy and for the extension to the Jovian system of the laws recently discovered to regulate the motions of the Planets. Harmonies of the World (book 5 of which is translated here) expounds an elaborate system of celestial harmonies depending on the varying velocities of the planets.

    It focuses squarely on the inherent irrationality of religion, and reveals its utter irreconcilability with science. Offering several "reconciliation theories" to people of faith, it forces every reader to make a choice.Contents The Reason Revolution in historical context Questioning belief Reasons for skepticism Secular humanism as an alternative worldview Political implications of atheism The collapse of religion Hopeful predictions Reconciliation theories Comments by clergyCall to action

    A teenage girl disappears on her way home from Coatesville High School. A reputed witch turns up dead in Pottsville. A young woman seemingly helps solve her own murder after she dies in a Philadelphia park.True-crime author Tammy Mal digs up facts on four of Pennsylvania’s weirdest killings in her book Tortured Minds: Pennsylvania’s Most Bizarre—But Forgotten—Murders. These 1930s crimes have long fallen into obscurity, but Mal deftly revives them in stark detail, from discovery of the body and through the trial. Ghosts, witches, resentment, and sex factor into these crimes, giving them a chilling edge as Mal brings them back to life in her latest true-crime book. It’s a look into just what tortured minds can do, certain to convince you to lock your doors after dark.