The subject was the mystery of prime numbers. At the heart of the presentation was an idea that Riemann had not yet proved but one that baffles mathematicians to this day.Solving the Riemann Hypothesis could change the way we do business, since prime numbers are the lynchpin for security in banking and e-commerce. It would also have a profound impact on the cutting-edge of science, affecting quantum mechanics, chaos theory, and the future of computing. Leaders in math and science are trying to crack the elusive code, and a prize of $1 million has been offered to the winner. In this engaging book, Marcus du Sautoy reveals the extraordinary history behind the holy grail of mathematics and the ongoing quest to capture it.

    Its greatest detriment to the world has been its unfettered desire to play with and alter them: science for science's sake, as if it offered the only path to knowledge.According to Lehrer, when it comes to the human brain, the world of art unraveled such mysteries long before the neuroscientists: "This book is about artists who anticipated the discoveries of science who discovered truths about the human mind that science is only now discovering." 'Proust Was a Neuroscientist' is a dazzling inquiry into the nature of the mind and of the truths harvested by its first explorers: artists like Walt Whitman, George Eliot, Auguste Escoffier, Marcel Proust, Paul Cozanne, Igor Stravinsky, Gertrude Stein, and Virginia Woolf. What they understood intuitively and expressed through their respective art forms -- the fallibility of memory, the malleability of the brain, the subtleties of vision, and the deep structure of language -- science has only now begun to measure and confirm. Blending biography, criticism, and science writing, Lehrer offers a lucid examination of eight artistic thinkers who lit the path toward a greater understanding of the human mind and a deeper appreciation of the ineffable mystery of life.

    They live everywhere—deep inside caves, 18,000 feet high in the Himalayas, inside computers, in Yellowstone’s hot springs, and in the ears and nostrils of much larger creatures. There are insects that have ears on their knees, eyes on their penises, and tongues under their feet. Most of us think life would be better without bugs. In fact, life would be impossible without them. Most of us know that we would not have honey without honeybees, but without the pinhead-sized chocolate midge, cocoa flowers would not pollinate. No cocoa, no chocolate. The ink that was used to write the Declaration of Independence was derived from galls on oak trees, which are induced by a small wasp. The fruit fly was essential to medical and biological research experiments that resulted in six Nobel prizes. Blowfly larva can clean difficult wounds; flour beetle larva can digest plastic; several species of insects have been essential to the development of antibiotics. Insects turn dead plants and animals into soil. They pollinate flowers, including crops that we depend on. They provide food for other animals, such as birds and bats. They control organisms that are harmful to humans. Life as we know it depends on these small creatures. With ecologist Anne Sverdrup-Thygeson as our capable, entertaining guide into the insect world, we’ll learn that there is more variety among insects than we can even imagine and the more you learn about insects, the more fascinating they become. Buzz, Sting, Bite is an essential introduction to the little creatures that make the world go round.

    She explains ideas at the cutting-edge of scientific enquiry, making them comprehensible and accessible to the layperson.

    Every new reader's brain possesses the extraordinary capacity to rearrange itself beyond its original abilities in order to understand written symbols. But how does the brain learn to read? As world-renowned cognitive neuroscientist and scholar of reading Maryanne Wolf explains in this impassioned book, we taught our brain to read only a few thousand years ago, and in the process changed the intellectual evolution of our species.Wolf tells us that the brain that examined tiny clay tablets in the cuneiform script of the Sumerians is configured differently from the brain that reads alphabets or of one literate in today's technology.There are critical implications to such an evolving brain. Just as writing reduced the need for memory, the proliferation of information and the particular requirements of digital culture may short-circuit some of written language's unique contributions—with potentially profound consequences for our future.Turning her attention to the development of the individual reading brain, Wolf draws on her expertise in dyslexia to investigate what happens when the brain finds it difficult to read. Interweaving her vast knowledge of neuroscience, psychology, literature, and linguistics, Wolf takes the reader from the brains of a pre-literate Homer to a literacy-ambivalent Plato, from an infant listening to Goodnight Moon to an expert reader of Proust, and finally to an often misunderstood child with dyslexia whose gifts may be as real as the challenges he or she faces.As we come to appreciate how the evolution and development of reading have changed the very arrangement of our brain and our intellectual life, we begin to realize with ever greater comprehension that we truly are what we read. Ambitious, provocative, and rich with examples, Proust and the Squid celebrates reading, one of the single most remarkable inventions in history. Once embarked on this magnificent story of the reading brain, you will never again take for granted your ability to absorb the written word.

    Including accessible primers on: • The early Ancient Greek philosophers and the ‘big three’: Socrates, Plato and Aristotle • Key schools of philosophy and their impact on modern life • Insights into the main questions philosophers have explored over the years: Who am I? What is the meaning of life? Do I have free will? • Practical applications for the theories of Descartes, Kant, Wollstonecraft, Marx, Nietzsche and many more. This illuminating little book will introduce you to the key thinkers, themes and theories you need to know to understand how human ideas have sculpted the world we live in and the way we think today.

    Beginning with the Big Bang, David Christian views the interaction of the natural world with the more recent arrivals in flora and fauna, including human beings.Cosmology, geology, archeology, and population and environmental studies—all figure in David Christian's account, which is an ambitious overview of the emerging field of "Big History." Maps of Time opens with the origins of the universe, the stars and the galaxies, the sun and the solar system, including the earth, and conducts readers through the evolution of the planet before human habitation. It surveys the development of human society from the Paleolithic era through the transition to agriculture, the emergence of cities and states, and the birth of the modern, industrial period right up to intimations of possible futures. Sweeping in scope, finely focused in its minute detail, this riveting account of the known world, from the inception of space-time to the prospects of global warming, lays the groundwork for world history—and Big History—true as never before to its name.

    Whatever it is, we call it matter or material substance. It is solid; it has mass. But what is matter, exactly? We are taught in school that matter is not continuous, but discrete. As a few of the philosophers of ancient Greece once speculated, nearly two and a half thousand years ago, matter comes in 'lumps', and science has relentlessly peeled away successive layers of matter to reveal its ultimate constituents.Surely, we can't keep doing this indefinitely. We imagine that we should eventually run up against some kind of ultimately fundamental, indivisible type of stuff, the building blocks from which everything in the Universe is made. The English physicist Paul Dirac called this 'the dream of philosophers'. But science has discovered that the foundations of our Universe are not as solid or as certain and dependable as we might have once imagined. They are instead built from ghosts and phantoms, of a peculiar quantum kind. And, at some point on this exciting journey of scientific discovery, we lost our grip on the reassuringly familiar concept of mass.How did this happen? How did the answers to our questions become so complicated and so difficult to comprehend? In Mass Jim Baggott explains how we come to find ourselves here, confronted by a very different understanding of the nature of matter, the origin of mass, and its implications for our understanding of the material world. Ranging from the Greek philosophers Leucippus and Democritus, and their theories of atoms and void, to the development of quantum field theory and the discovery of a Higgs boson-like particle, he explores our changing understanding of the nature of matter, and the fundamental related concept of mass.

    Richard Gott leads time travel out of the world of H. G. Wells and into the realm of scientific possibility. Building on theories posited by Einstein and advanced by scientists such as Stephen Hawking and Kip Thorne, Gott explains how time travel can actually occur. He describes, with boundless enthusiasm and humor, how travel to the future is not only possible but has already happened, and he contemplates whether travel to the past is also conceivable. Notable not only for its extraordinary subject matter and scientific brilliance, Time Travel in Einstein’s Universe is a delightful and captivating exploration of the surprising facts behind the science fiction of time travel.

    Includes lead sheets for such standard vocal repertoire pieces as: Yesterday * I'm Beginning to See the Light * and I Heard it Through the Grapevine. Maximize your vocal potential with this outstanding guide

    Einstein famously rejected quantum mechanics, observing that God does not play dice. But, in fact, he thought more about the nature of atoms, molecules, and the emission and absorption of light--the core of what we now know as quantum theory--than he did about relativity.A compelling blend of physics, biography, and the history of science, "Einstein and the Quantum" shares the untold story of how Einstein--not Max Planck or Niels Bohr--was the driving force behind early quantum theory. It paints a vivid portrait of the iconic physicist as he grappled with the apparently contradictory nature of the atomic world, in which its invisible constituents defy the categories of classical physics, behaving simultaneously as both particle and wave. And it demonstrates how Einstein's later work on the emission and absorption of light, and on atomic gases, led directly to Erwin Schrodinger's breakthrough to the modern form of quantum mechanics. The book sheds light on why Einstein ultimately renounced his own brilliant work on quantum theory, due to his deep belief in science as something objective and eternal.A book unlike any other, "Einstein and the Quantum" offers a completely new perspective on the scientific achievements of the greatest intellect of the twentieth century, showing how Einstein's contributions to the development of quantum theory are more significant, perhaps, than even his legendary work on relativity.

    Yet, despite the astonishing discoveries of science, we still have only the vaguest idea of how the brain works. In The Idea of the Brain, scientist and historian Matthew Cobb traces how our conception of the brain has evolved over the centuries. Although it might seem to be a story of ever-increasing knowledge of biology, Cobb shows how our ideas about the brain have been shaped by each era's most significant technologies. Today we might think the brain is like a supercomputer. In the past, it has been compared to a telegraph, a telephone exchange, or some kind of hydraulic system. What will we think the brain is like tomorrow, when new technology arises? The result is an essential read for anyone interested in the complex processes that drive science and the forces that have shaped our marvelous brains.

    Relive key moments in the monumental Hubble story, from launch through major new instrumentation to the promise of discoveries to come. With more than 150 photographs including Hubble All-Stars—the most famous of all the noteworthy images—The Hubble Cosmos shows how this telescope is revolutionizing our understanding of the universe.

    Now guitarists can have all three volumes of this classic guitar method in one convenient book! Created by popular demand, this new edition of the method used as the basic text for the renowned Berklee College of Music guitar program is a complete compilation of the original Volumes 1, 2, and 3. Innovative solos, duets and exercises progressively teach melody, harmony and rhythm. Perfect for the serious guitar student and instructor alike.

    Yet for nearly all of its six million years of existence, human society had none of these things. While the gulf that divides us from our primitive ancestors may seem unbridgeably wide, we can glimpse much of our former lifestyle in those largely traditional societies still or recently in existence. Societies like those of the New Guinea Highlanders remind us that it was only yesterday—in evolutionary time—when everything changed and that we moderns still possess bodies and social practices often better adapted to traditional than to modern conditions.The World Until Yesterday provides a mesmerizing firsthand picture of the human past as it had been for millions of years—a past that has mostly vanished—and considers what the differences between that past and our present mean for our lives today.This is Jared Diamond’s most personal book to date, as he draws extensively from his decades of field work in the Pacific islands, as well as evidence from Inuit, Amazonian Indians, Kalahari San people, and others. Diamond doesn’t romanticize traditional societies—after all, we are shocked by some of their practices—but he finds that their solutions to universal human problems such as child rearing, elder care, dispute resolution, risk, and physical fitness have much to teach us. Provocative, enlightening, and entertaining, The World Until Yesterday is an essential and fascinating read.