Beginning millions of years ago with ancient “ant odometers” and moving through time to our modern-day quest for new dimensions, it covers 250 milestones in mathematical history. Among the numerous delights readers will learn about as they dip into this inviting anthology: cicada-generated prime numbers, magic squares from centuries ago, the discovery of pi and calculus, and the butterfly effect. Each topic gets a lavishly illustrated spread with stunning color art, along with formulas and concepts, fascinating facts about scientists’ lives, and real-world applications of the theorems.

    This series of three books aim to provide frustrated rock guitarists with new directions to explore their art. Armed with the accompanying CD, featuring detailed examples of pentatonic patterns, minor arpeggios and backing tracks, you will be able to do much more than simply learn solos and licks note for note. This book also contains a thorough explanation of music theory.

    This reader for lovers of the piano distils his musical and linguistic eloquence and vast knowledge, and will prove invaluable to anyone with an interest in the technique, history and repertoire of the piano. Erudite, witty, enlightening and deeply personal, A Pianist's A to Z is the ideal book for all piano lovers, musicians and music aficionados: rarely has the instrument been described in such an entertaining and intelligent fashion.

    With a new foreword by his daughter Mary Katherine Bateson, this classic anthology of his major work will continue to delight and inform generations of readers. "This collection amounts to a retrospective exhibition of a working life. . . . Bateson has come to this position during a career that carried him not only into anthropology, for which he was first trained, but into psychiatry, genetics, and communication theory. . . . He . . . examines the nature of the mind, seeing it not as a nebulous something, somehow lodged somewhere in the body of each man, but as a network of interactions relating the individual with his society and his species and with the universe at large."—D. W. Harding, New York Review of Books "[Bateson's] view of the world, of science, of culture, and of man is vast and challenging. His efforts at synthesis are tantalizingly and cryptically suggestive. . . .This is a book we should all read and ponder."—Roger Keesing, American Anthropologist

    From the sudden expansion of a cloud of gas to the cooling of hot metal--everything is moved or restrained by four simple laws. Written by Peter Atkins, one of the world's leading authorities on thermodynamics, this powerful and compact introduction explains what these four laws are and how they work, using accessible language and virtually no mathematics. Guiding the reader a step at a time, Atkins begins with Zeroth (so named because the first two laws were well established before scientists realized that a third law, relating to temperature, should precede them--hence the jocular name zeroth), and proceeds through the First, Second, and Third Laws, offering a clear account of concepts such as the availability of work and the conservation of energy. Atkins ranges from the fascinating theory of entropy (revealing how its unstoppable rise constitutes the engine of the universe), through the concept of free energy, and to the brink, and then beyond the brink, of absolute zero. About the Series: Combining authority with wit, accessibility, and style, Very Short Introductions offer an introduction to some of life's most interesting topics. Written by experts for the newcomer, they demonstrate the finest contemporary thinking about the central problems and issues in hundreds of key topics, from philosophy to Freud, quantum theory to Islam.

    Today, the equation is reversed. Whereas Edison proposed that a real performance could be rebuilt with absolute perfection, Pro Tools and digital samplers now allow musicians and engineers to create the illusion of performances that never were. In between lies a century of sonic exploration into the balance between the real and the represented.Tracing the contours of this history, Greg Milner takes us through the major breakthroughs and glorious failures in the art and science of recording. An American soldier monitoring Nazi radio transmissions stumbles onto the open yet revolutionary secret of magnetic tape. Japanese and Dutch researchers build a first-generation digital audio format and watch as their "compact disc" is marketed by the music industry as the second coming of Edison yet derided as heretical by analog loyalists. The music world becomes addicted to volume in the nineties and fights a self-defeating "loudness war" to get its fix.From Les Paul to Phil Spector to King Tubby, from vinyl to pirated CDs to iPods, Milner's Perfecting Sound Forever pulls apart musical history to answer a crucial question: Should a recording document reality as faithfully as possible, or should it improve upon or somehow transcend the music it records? The answers he uncovers will change the very way we think about music.

    We often overlook the historical link between mathematics and technological advances, says Stewart—but this connection is integral to any complete understanding of human history.Equations are modeled on the patterns we find in the world around us, says Stewart, and it is through equations that we are able to make sense of, and in turn influence, our world. Stewart locates the origins of each equation he presents—from Pythagoras's Theorem to Newton's Law of Gravity to Einstein's Theory of Relativity—within a particular historical moment, elucidating the development of mathematical and philosophical thought necessary for each equation's discovery. None of these equations emerged in a vacuum, Stewart shows; each drew, in some way, on past equations and the thinking of the day. In turn, all of these equations paved the way for major developments in mathematics, science, philosophy, and technology. Without logarithms (invented in the early 17th century by John Napier and improved by Henry Briggs), scientists would not have been able to calculate the movement of the planets, and mathematicians would not have been able to develop fractal geometry. The Wave Equation is one of the most important equations in physics, and is crucial for engineers studying the vibrations in vehicles and the response of buildings to earthquakes. And the equation at the heart of Information Theory, devised by Claude Shannon, is the basis of digital communication today.An approachable and informative guide to the equations upon which nearly every aspect of scientific and mathematical understanding depends, In Pursuit of the Unknown is also a reminder that equations have profoundly influenced our thinking and continue to make possible many of the advances that we take for granted.

    Featuring two of Chomsky's most popular and enduring books in one omnibus volume, On Language contains some of the noted linguist and political critic's most informal and accessible work to date, making it an ideal introduction to his thought.In Part I, Language and Responsibility (1979), Chomsky presents a fascinating self-portrait of his political, moral, and linguistic thinking through a series of interviews with Mitsou Ronat, the noted French linguist. In Part II, Reflections on Language (1975), Chomsky explores the more general implications of the study of language and offers incisive analyses of the controversies among psychologists, philosophers, and linguists over fundamental questions of language.

    It's also about pain. Most important, it's about how to find the delicate balance between the two, and why now more than ever finding balance is essential. We're living in a time of unprecedented access to high-reward, high-dopamine stimuli: drugs, food, news, gambling, shopping, gaming, texting, sexting, Facebooking, Instagramming, YouTubing, tweeting... The increased numbers, variety, and potency is staggering. The smartphone is the modern-day hypodermic needle, delivering digital dopamine 24/7 for a wired generation. As such we've all become vulnerable to compulsive overconsumption.In Dopamine Nation, Dr. Anna Lembke, psychiatrist and author, explores the exciting new scientific discoveries that explain why the relentless pursuit of pleasure leads to pain...and what to do about it. Condensing complex neuroscience into easy-to-understand metaphors, Lembke illustrates how finding contentment and connectedness means keeping dopamine in check. The lived experiences of her patients are the gripping fabric of her narrative. Their riveting stories of suffering and redemption give us all hope for managing our consumption and transforming our lives. In essence, Dopamine Nation shows that the secret to finding balance is combining the science of desire with the wisdom of recovery."Brilliant... riveting, scary, cogent, and cleverly argued."--Beth Macy, author of DopesickINSTANT NEW YORK TIMES and LOS ANGELES TIMES BESTSELLER“Brilliant… riveting, scary, cogent, and cleverly argued.”—Beth Macy, author of DopesickAs heard on Fresh Air

    From one of the world's leading neuroscientists comes a deeply engaging trip into the depths of the human mind.In The Secret Life of the Mind, neuroscientist Mariano Sigman offers a grand yet concise survey of everything you ever wanted to know about how the mind works.From research showing that, even as infants, we are able to form notions of mathematics, language, and morality, to how years and years of formal and informal education can fundamentally change our brains and how we experience the world, The Secret Life of the Mind is an accessible and fascinating overview of neuroscience that will help readers begin to understand even the smallest things that make us who we are.Personal, surprising, and delightfully illuminating, The Secret Life of the Mind is an intimate look into our most intimate selves.

    In this Third Edition of Pioneers of Psychology, Professor Fancher again traces the evolution of this influential science through the personal triumphs and disappointments of a fascinating gallery of individuals, from Descartes, Gall, and Kant to James, Piaget, and Skinner.

    It is also a book they may want to keep out of view of their professors, for it expresses in clear and simple language things that tend to be murky and abstruse in the classroom. These 101 concise lessons in design, drawing, the creative process, and presentation--from the basics of "How to Draw a Line" to the complexities of color theory--provide a much-needed primer in architectural literacy, making concrete what too often is left nebulous or open-ended in the architecture curriculum. Each lesson utilizes a two-page format, with a brief explanation and an illustration that can range from diagrammatic to whimsical. The lesson on "How to Draw a Line" is illustrated by examples of good and bad lines; a lesson on the dangers of awkward floor level changes shows the television actor Dick Van Dyke in the midst of a pratfall; a discussion of the proportional differences between traditional and modern buildings features a drawing of a building split neatly in half between the two. Written by an architect and instructor who remembers well the fog of his own student days, 101 Things I Learned in Architecture School provides valuable guideposts for navigating the design studio and other classes in the architecture curriculum. Architecture graduates--from young designers to experienced practitioners--will turn to the book as well, for inspiration and a guide back to basics when solving a complex design problem.

    They develop an interpretation of quantum mechanics which gives a clear, intuitive understanding of its meaning and in which there is a coherent notion of the reality of the universe without assuming a fundamental role for the human observer. With the aid of new concepts such as active information together with non-locality, they provide a comprehensive account of all the basic features of quantum mechanics, including the relativistic domain and quantum field theory. It is shown that, with the new approach, paradoxical or unsatisfactory features associated with the standard approaches, such as the wave-particle duality and the collapse of the wave function, do not arise. Finally, the authors make new suggestions and indicate some areas in which one may expect quantum theory to break down in a way that will allow for a test. The Undivided Universe is an important book especially because it provides a different overall world view which is neither mechanistic nor reductionist. This view will ultimately have radical implications not only in physics but also in our general approach to all areas of life.

    In the paper, Wigner observed that the mathematical structure of a physical theory often points the way to further advances in that theory and even to empirical predictions.

    Our 'understanding' of old music allows us only a glimpse of the spirit in which it is rooted. We see that music always reflects the spiritual and intellectual climate of its time. Its content can never surpass the human power of expression, and any gain on one side must be compensated by a corresponding loss on the other." In these essays, Nikolaus Harnoncourt summarizes his views arising from years devoted to the performance of early music. The problem of interpreting historical music is particularly critical in our age, when modern music has little appeal for the listening public. The vacuum left by the absence of a truly living contemporary music is therefore filled by older music. But for performers and audiences to understand music of earlier times, they must learn to comprehend the languages and messages of the past.