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.

    With more than 800,000 copies sold since it was first published thirty years ago, The Inner Game of Tennis became a touchstone for hundreds of thousands of people. Now, the bestselling co-author delivers a book designed to help musicians overcome obstacles, improve concentration, and reduce nervousness, allowing them to reach new levels of performing excellence and musical artistry.

    Said shows how the approaching death of an artist can make its way into his work, examining essays, poems, novels, films, and operas by such artists as Beethoven, Genet, Mozart, Lampedusa, Euripides, Cavafy, and Mann, among others. He uncovers the conflicts and complexity that often distinguish artistic lateness, resulting in works that stood in direct contrast to what was popular at the time and were forerunners of what was to come in each artist's discipline-works of true genius. Eloquent and impassioned, brilliantly reasoned and revelatory, On Late Style is Edward Said's own great last work.

    "More concretely," the authors explain, "it is the controlled manipulation of mathematical formulas, using a collection of techniques for solving problems."

    In Musicophilia, he shows us a variety of what he calls “musical misalignments.” Among them: a man struck by lightning who suddenly desires to become a pianist at the age of forty-two; an entire group of children with Williams syndrome, who are hypermusical from birth; people with “amusia,” to whom a symphony sounds like the clattering of pots and pans; and a man whose memory spans only seven seconds-for everything but music. Illuminating, inspiring, and utterly unforgettable, Musicophilia is Oliver Sacks’ latest masterpiece.

    A Dance Book Club main selection, this guide offers a general explanation of anatomy, kinesiology, and technique for ballet dancers, students, and teachers.

    These early works, characterized by a relentless pulse and static harmony, focused single-mindedly on the process of gradual rhythmic change. Throughout his career, Reich has continued to reinvigorate the music world, drawing from a wide array of classical, popular, sacred, and non-western idioms. His works reflect the steady evolution of an original musical mind.Writings on Music documents the creative journey of this thoughtful, groundbreaking composer. These 64 short pieces include Reich's 1968 essay Music as a Gradual Process, widely considered one of the most influential pieces of music theory in the second half of the 20th century. Subsequent essays, articles, and interviews treat Reich's early work with tape and phase shifting, showing its development into more recent work with speech melody and instrumental music. Other essays recount his exposure to non-western music -- African drumming, Balinese gamelan, Hebrew cantillation -- and the influence of these musics as structures and not as sounds. The writings include Reich's reactions to and appreciations of the works of his contemporaries (John Cage, Luciano Berio, Morton Feldman, Gyorgy Ligeti) and older influences (Kurt Weill, Schoenberg). Each major work of the composer's career is also explored through notes written for performances and recordings.Paul Hillier, himself a respected figure in the early music and new music worlds, has revisited these texts, working with the author to clarify their central narrative: the aesthetic and intellectual development of an influential composer. For long-time listeners and young musicians recently introduced to his work, this book provides an opportunity to get to know Reich's music in greater depth and perspective.

    Escher was born in 1898 in Leeuwarden (Netherlands). He received his first drawing lessons during secondary school from F.W. van der Haagen, who also taught him the block printing, thus fostering Escher's innate graphic talents. From 1912 to 1922 he studied at the School of Architecture and Ornamental Design in Haarlem, where he was instructed in graphic techniques by S. Jessurun de Mesquita, who greatly influenced Escher's further artistic development. Between 1922 and 1934 the artist lived and worked in Italy. Afterwards Escher spent two years in Switzerland and five in Brussels before finally moving back to Barn in Holland, where he died in 1972. M.C. Escher is not a surrealist drawing us into his dream world, but an architect of perfectly impossible worlds who presents the structurally unthinkable as though it were a law of nature. The resulting dimensional and perspectival illusions bring us into confrontation with the limitations of our sensory perception. About the Series: Each book in TASCHEN's Basic Art series features:a detailed chronological summary of the life and oeuvre of the artist, covering his or her cultural and historical importance a concise biography approximately 100 illustrations with explanatory captions

    Hebdige [...] is concerned with the UK's postwar, music-centred, white working-class subcultures, from teddy boys to mods and rockers to skinheads and punks.' - Rolling StoneWith enviable precision and wit Hebdige has addressed himself to a complex topic - the meanings behind the fashionable exteriors of working-class youth subcultures - approaching them with a sophisticated theoretical apparatus that combines semiotics, the sociology of devience and Marxism and come up with a very stimulating short book - Time OutThis book is an attempt to subject the various youth-protest movements of Britain in the last 15 years to the sort of Marxist, structuralist, semiotic analytical techniques propagated by, above all, Roland Barthes. The book is recommended whole-heartedly to anyone who would like fresh ideas about some of the most stimulating music of the rock era - The New York Times

    Discovered by an 18th century mathematician and preacher, Bayes' rule is a cornerstone of modern probability theory. In this richly illustrated book, intuitive visual representations of real-world examples are used to show how Bayes' rule is actually a form of commonsense reasoning. The tutorial style of writing, combined with a comprehensive glossary, makes this an ideal primer for novices who wish to gain an intuitive understanding of Bayesian analysis. As an aid to understanding, online computer code (in MatLab, Python and R) reproduces key numerical results and diagrams.Stone's book is renowned for its visually engaging style of presentation, which stems from teaching Bayes' rule to psychology students for over 10 years as a university lecturer.

    Following on the success of Quadrivium and Sciencia, Trivium gathers six Wooden Books titles together into a beautiful six-color package that presents ancient wisdom in an accessible way. Trivium includes the books Euphonics, Grammar, Logic, Rhetoric,, Poetic Meter and Form, and Ethics.

    In Feeling Good, eminent psychiatrist, David D. Burns, M.D., outlines the remarkable, scientifically proven techniques that will immediately lift your spirits and help you develop a positive outlook on life. Now, in this updated edition, Dr. Burns adds an All-New Consumer′s Guide To Anti-depressant Drugs as well as a new introduction to help answer your questions about the many options available for treating depression.- Recognise what causes your mood swings- Nip negative feelings in the bud- Deal with guilt- Handle hostility and criticism- Overcome addiction to love and approval- Build self-esteem- Feel good everyday

    It guides you through every step of writing your own music, from choosing the right rhythm and tempo to creating melodies and chord progressions and working with instruments and voices. In this fun and practical guide, you'll learn how to match keys and chords to the mood you want to convey, work a form without limiting your creativity, and hammer out a musical idea, even when your mind is drawing a blank. You'll find out how to create popular songs, classically structured pieces, and even film, TV, and video game soundtracks. And, you'll learn what you need to know about music composition software, including Finale, Sebelius, Pro Tools, and more. Discover how to:Preserve and organize your musical ideas Work with established chord progressions or create your own Develop great rhythms Select the right instruments Find melodies in your head, your instrument, and the world around you Use major and minor scales Work with modes and moods Build melodic motifs and phrases Use the circle of fifths to harmonize Write for multiple voices Make a demo recording Filled with creative exercises to build your composing skills, Music Composition for Dummies is the resource you need to get that melody out of your head and into the world.

    Adorno (1903-1969), one of the principal figures associated with the Frankfurt School, wrote extensively on culture, modernity, aesthetics, literature, and—more than any other subject—music. To this day, Adorno remains the single most influential contributor to the development of qualitative musical sociology which, together with his nuanced intertextual readings of musical works, gives him broad claim as a continuing force in the study of music. This long-awaited collection of twenty-seven essays represents the full range of Adorno's music writing. Nearly half of the essays appear in English for the first time; all of the essays are fully annotated; and the previously translated essays have been corrected and missing text restored, making this volume the definitive resource on Adorno's musical thought.

    These properties are seen over and over in nature and in the cities and streets of the past, but they have almost disappeared in the impersonal developments and buildings of the last hundred years.This book shows that living structures depend on features which make a close connection with the human self, and that only living structure has the capacity to support human well-being.