Musical Theatre: A History presents a comprehensive history of stage musicals from the earliest accounts of the ancient Greeks and Romans, for whom songs were common elements in staging, to Jacques Offenbach in Paris during the 1840s, to Gilbert and Sullivan in England, to the rise of music halls and vaudeville traditions in America, and eventually to "Broadway's Golden Age" with George M. Cohan, Victor Herbert, Jerome Kern, George and Ira Gershwin, Rodgers and Hart, Oscar Hammerstein, Leonard Bernstein, and Andrew Lloyd Webber. The 21st century has also brought a popular new wave of musicals to the Broadway stage, from The Producers to Spamalot, and Mamma Mia! to The Drowsy Chaperone. Musical Theatre: A History covers it all, from the opening number to the curtain call, offering readers the most comprehensive and up-to-date history of the art form. As informative as it is entertaining, Musical Theatre is richly illustrated with anecdotes of shows and show people. It is cause for celebration for those working in the theatre as well as its legion of devoted fans.

    Maintaining a personal touch, he introduces all of the outstanding mathematicians of history, from the key Babylonians, Greeks, and Egyptians, via Newton and Descartes, to Fermat, Babbage, and Godel, and demystifies math's key concepts without recourse to complicated formulae. Written to provide a captivating historic narrative for the non-mathematician, this book is packed with fascinating nuggets and quirky asides, and contains plenty of illustrations and diagrams to illuminate and aid understanding of a subject many dread, but which has made the world what it is today.

    The Clay Mathematics Institute is offering a prize of $1 million to anyone who can discover a general solution to the problem. In this book, Avner Ash and Robert Gross guide readers through the mathematics they need to understand this captivating problem.The key to the conjecture lies in elliptic curves, which are cubic equations in two variables. These equations may appear simple, yet they arise from some very deep--and often very mystifying--mathematical ideas. Using only basic algebra and calculus while presenting numerous eye-opening examples, Ash and Gross make these ideas accessible to general readers, and in the process venture to the very frontiers of modern mathematics. Along the way, they give an informative and entertaining introduction to some of the most profound discoveries of the last three centuries in algebraic geometry, abstract algebra, and number theory. They demonstrate how mathematics grows more abstract to tackle ever more challenging problems, and how each new generation of mathematicians builds on the accomplishments of those who preceded them. Ash and Gross fully explain how the Birch and Swinnerton-Dyer Conjecture sheds light on the number theory of elliptic curves, and how it provides a beautiful and startling connection between two very different objects arising from an elliptic curve, one based on calculus, the other on algebra.

    A meld of history and science, this book is a group portrait of some of the greatest minds who ever lived as they wrestled with nature’s most sweeping mysteries. The answers they uncovered still hold the key to how we understand the world.At the end of the seventeenth century—an age of religious wars, plague, and the Great Fire of London—when most people saw the world as falling apart, these earliest scientists saw a world of perfect order. They declared that, chaotic as it looked, the universe was in fact as intricate and perfectly regulated as a clock. This was the tail end of Shakespeare’s century, when the natural land the supernatural still twined around each other. Disease was a punishment ordained by God, astronomy had not yet broken free from astrology, and the sky was filled with omens. It was a time when little was known and everything was new. These brilliant, ambitious, curious men believed in angels, alchemy, and the devil, and they also believed that the universe followed precise, mathematical laws—-a contradiction that tormented them and changed the course of history.The Clockwork Universe is the fascinating and compelling story of the bewildered geniuses of the Royal Society, the men who made the modern world.

    Beginning with the hugely influential mid-1970s efforts of Rush and King Crimson, Wagner unfurls a huge tapestry of sounds and styles, including Queensryche, Fates Warning, and Dream Theater; extreme prog pioneers Voivod and Celtic Frost; Norway’s post-black metal avant garde acts Ulver and Arcturus; and the 1990s global movement that spawned Ayreon, Pain of Salvation, and others.Fighting a tide of tradition and conservatism, progressive metal has proven to be one of the most viable, malleable forms in all of modern music; here its preeminent scholar tells the tale.

    Now an internationally recognized scientist at a top U.S. medical school—one of the leading researchers in the field—sheds light on the extraordinary benefits of these natural health superstars. Thanks to an explosion of research in recent years, one thing is clear: probiotics, the healthy bacteria that inhabit the digestive tract, are the body’s silent partners for good health, optimizing the power of the immune system to fight disease and the “bad” germs we fear. But how do they work? And in the face of factors like stress and poor diet, which decrease their numbers, how do you keep your supply well stocked? Here is an up-to-the-minute, highly accessible guide to probiotics and the foods and supplements that contain and support them—many of which may be in your diet already. Discover:The key role of probiotics and prebiotics in restoring healthy balance to our bodies, improving immune system functioning, and curbing inflammationHow to use probiotic foods and supplements to prevent and relieve allergies, inflammatory bowel disease, irritable bowel syndrome, yeast infections, and the negative side effects of antibiotic useNew evidence that probiotics may help fight asthma, cardiovascular disease, breast and colon cancer, autoimmune diseases, chronic fatigue, fibromyalgia—and even obesityNatural sources of prebiotics, the nutrients that help make the digestive tract more hospitable for probiotic bacteriaThe Probiotics Revolution also includes a step-by-step plan for incorporating the many food sources of probiotics and prebiotics into your diet, a complete buyer’s guide to probiotic supplements, and how to introduce probiotics to your family and children.From the Hardcover edition.

    In this refreshing work of history and analysis, data scientist Alexander Boxer examines classical texts on astrology to expose its underlying scientific and mathematical framework. Astrology, he argues, was the ancient world’s most ambitious applied mathematics problem, a grand data-analysis enterprise sustained by some of history’s most brilliant minds from Ptolemy to al-Kindi to Kepler.A “scheme of heaven,” or horoscope, is recognized as pseudoscience today, but was once considered a cutting-edge scientific tool. Not only does Boxer trace different applications of horoscopes back to their origins, he also puts them to the test using modern data sets and statistical science, arguing that today’s data scientists do work similar to astrologers of yore.At once critical, rigorous, and far-ranging, A Scheme of Heaven recontextualizes astrology as a vast, technological project—spanning continents and centuries—that foreshadowed our data-driven world today.