The 20th Century saw two revolutionary changes in music. First music was deconstructed from its previously strict form, moving from formal constraints to more accessible melodies. Second, the way in which music was generated radically changed as new electronic equipment inspired experiments with sound divorced from traditional acoustic instruments. More and more, innovative musical ideas became intertwined with technological change. Multi-track recording, editing, and improved microphones allowed for quieter, experimental elements to gain prominence. And with the advent of digital synthesizers, new music could be made by anyone and sound like almost anything.The Ambient Century is the definitive chronicle of a century of musical change. It reveals the drift from composers to non-musicians, from the single note to the sample. Encyclopedic, yet with a strong narrative, The Ambient Century covers hundreds of artists, including such diverse artists as Gustav Mahler (the pioneer of modern music), Phillip Glass, New Order, and Moby. Lively, compelling, and authoritative-and boasting an unmatched discography. The Ambient Century is a treat for music lovers of all kinds.

    But why they do so, why music can excite deep passions, and how we make sense of musical sound at all are questions that have, until recently, remained profoundly mysterious. Now in The Music Instinct Philip Ball provides the first comprehensive, accessible survey of what is known - and what is still unknown - about how music works its magic, and why, as much as eating and sleeping, it seems indispensable to humanity. Even with what appear to be the simplest of tunes, the brain is performing some astonishing gymnastics: finding patterns and regularities, forming interpretations and expectations that create a sense of aesthetic pleasure. Without requiring any specialist knowledge of music or science, The Music Instinct explores how the latest research in music psychology and brain science is piecing together the puzzle of how our minds understand and respond to music. Ranging from Bach fugues to Javanese gamelan, from nursery rhymes to heavy rock, Philip Ball interweaves philosophy, mathematics, history and neurology to reveal why music moves us in so many ways. The Music Instinct will not only deepen your appreciation of the music you love, but will also guide you into pastures new, opening a window on music that once seemed alien, dull or daunting. And it offers a passionate plea for the importance of music in education and in everyday life, arguing that, whether we know it or not, we can all claim to be musical experts.

    Over time, these responses can actually hard-wire our brains to respond angrily in situations that normally wouldn’t cause us to lose our cool. These anger pathways in the brain can eventually disrupt your work, strain your relationships, and even damage your health.Written by anger management expert Ronald Potter-Efron, Healing the Angry Brain can help you short-circuit the anger cycle and learn to calmly handle even the most stressful interactions. You will learn which areas of your brain are causing your reactions and discover how to take control of your emotions by rewiring your brain for greater patience and perspective. This fascinating, scientific approach to anger management will yield long-term results, helping you develop greater empathy and put effective conflict resolution skills into practice for years to come.

    At the same time adjacent portions of philosophy and logic are discussed. To the existence of what objects may a given scientific theory be said to be committed? And what considerations may suitably guide us in accepting or revising such ontological commitments? These are among the questions dealt with in this book, particular attention being devoted to the role of abstract entities in mathematics. There is speculation on the mechanism whereby objects of one sort or another come to be posited a process in which the notion of identity plays an important part."This volume of essays has a unity and bears throughout the imprint of Quine's powerful and original mind. It is written with the felicity in the choice of words which makes everything that Quine writes a pleasure to read, and which ranks him among the best contemporary writers on abstract subjects." (Cambridge Review)"Professor Quine's challenging and original views are here for the first time presented as a unity. The chief merit of the book is the heart-searching from which it arose and to which it will give rise. In vigour, conciseness, and clarity, it is characteristic of its author." (Oxford Magazine)

    Why does music evoke such powerful moods? The answers are at last be- coming clear, thanks to revolutionary neuroscience and the emerging field of evolutionary psychology. Both a cutting-edge study and a tribute to the beauty of music itself, This Is Your Brain on Music unravels a host of mysteries that affect everything from pop culture to our understanding of human nature, including: • Are our musical preferences shaped in utero? • Is there a cutoff point for acquiring new tastes in music? • What do PET scans and MRIs reveal about the brain’s response to music? • Is musical pleasure different from other kinds of pleasure?This Is Your Brain on Music explores cultures in which singing is considered an essential human function, patients who have a rare disorder that prevents them from making sense of music, and scientists studying why two people may not have the same definition of pitch. At every turn, this provocative work unlocks deep secrets about how nature and nurture forge a uniquely human obsession.

    In the insightful How Music Works, Byrne offers his unique perspective on music - including how music is shaped by time, how recording technologies transform the listening experience, the evolution of the industry, and much more.

    In the most thorough and painstakingly researched book to be published since the 1980s, specialist music editor Elaine Gould provides a comprehensive grounding in notational principles.Behind Bars covers everything from basic rules, conventions and themes to complex instrumental techniques, empowering the reader to prepare music with total clarity and precision. With the advent of computer technology, it has never been more important for musicians to have ready access to principles of best practice in this dynamic field, and this book will support the endeavors of software users and devotees of hand-copying alike. The author's understanding of, and passion for, her subject has resulted in a book that is not only practical but also compellingly readable.This seminal and all-encompassing guide encourages new standards of excellence and accuracy and, at a weighty 704 pages, it is supported by 1,500 music examples of published scores from Bach to Xenakis.

    In the same period, the cross-fertilization of mathematics and philosophy resulted in a new sort of 'mathematical philosophy', associated most notably (but in different ways) with Bertrand Russell, W. V. Quine, and Godel himself, and which remains at the focus of Anglo-Saxon philosophical discussion. The present collection brings together in a convenient form the seminal articles in the philosophy of mathematics by these and other major thinkers. It is a substantially revised version of the edition first published in 1964 and includes a revised bibliography. The volume will be welcomed as a major work of reference at this level in the field.

    Kurt Giidel maintained, and offered detailed proof, that in any arithmetic system, even in elementary parts of arithmetic, there are propositions which cannot be proved or disproved within the system. It is thus uncertain that the basic axioms of arithmetic will not give rise to contradictions. The repercussions of this discovery are still being felt and debated in 20th-century mathematics.The present volume reprints the first English translation of Giidel's far-reaching work. Not only does it make the argument more intelligible, but the introduction contributed by Professor R. B. Braithwaite (Cambridge University}, an excellent work of scholarship in its own right, illuminates it by paraphrasing the major part of the argument.This Dover edition thus makes widely available a superb edition of a classic work of original thought, one that will be of profound interest to mathematicians, logicians and anyone interested in the history of attempts to establish axioms that would provide a rigorous basis for all mathematics. Translated by B. Meltzer, University of Edinburgh. Preface. Introduction by R. B. Braithwaite.

    From the very first attempts by the Greeks to grapple with the complexities of our known world to the latest application of infinity in physics, The Road to Reality carefully explores the movement of the smallest atomic particles and reaches into the vastness of intergalactic space. Here, Penrose examines the mathematical foundations of the physical universe, exposing the underlying beauty of physics and giving us one the most important works in modern science writing.

    In this little book Welsh writer and artist David Wade paints a picture of one of the most elusive and pervasive concepts known to man.

    Beginning with the primordial sounds of nature, we have experienced an ever-increasing complexity of our sonic surroundings. As civilization develops, new noises rise up around us: from the creaking wheel, the clang of the blacksmith’s hammer, and the distant chugging of steam trains to the “sound imperialism” of airports, city streets, and factories. The author contends that we now suffer from an overabundance of acoustic information and a proportionate diminishing of our ability to hear the nuances and subtleties of sound. Our task, he maintains, is to listen, analyze, and make distinctions. As a society we have become more aware of the toxic wastes that can enter our bodies through the air we breathe and the water we drink. In fact, the pollution of our sonic environment is no less real. Schafer emphasizes the importance of discerning the sounds that enrich and feed us and using them to create healthier environments. To this end, he explains how to classify sounds, appreciating their beauty or ugliness, and provides exercises and “soundwalks” to help us become more discriminating and sensitive to the sounds around us. This book is a pioneering exploration of our acoustic environment, past and present, and an attempt to imagine what it might become in the future.

    Russolo calls for an infinite expansion of musical vocabulary and sensibility in coordination with that of industrial machinery—“We must enlarge and enrich more and more the domain of musical sounds”—envisioning a machine-based music that would dispense entirely with inherited forms. This publication made the text widely available in English for the first time. Also included is a description of the “First Concert of Futurist Noise Instruments” in Modena, Italy on June 2, 1913.

    To understand algebra is to possess the power to grow your skills and knowledge so you can ace your courses and possibly pursue further study in math. Algebra II For Dummies is the fun and easy way to get a handle on this subject and solve even the trickiest algebra problems. This friendly guide shows you how to get up to speed on exponential functions, laws of logarithms, conic sections, matrices, and other advanced algebra concepts. In no time you'll have the tools you need to:Interpret quadratic functions Find the roots of a polynomial Reason with rational functions Expose exponential and logarithmic functions Cut up conic sections Solve linear and non linear systems of equations Equate inequalities Simplifyy complex numbers Make moves with matrices Sort out sequences and sets This straightforward guide offers plenty of multiplication tricks that only math teachers know. It also profiles special types of numbers, making it easy for you to categorize them and solve any problems without breaking a sweat. When it comes to understanding and working out algebraic equations, Algebra II For Dummies is all you need to succeed!

    In clear, understandable language, Jourdian expertly guides the reader through a continuum of musical experience: sound, tone, melody, harmony, rhythm, composition, performance, listening, understanding—and finally to ecstasy. Along the way, a fascinating cast of characters brings Jourdian's narrative to vivid life: "idiots savants" who absorb whole pieces on a single hearing, composers who hallucinate entire compositions, a psychic who claims to take dictation from long-dead composers, and victims of brain damage who can move only when they hear music. Here is a book that will entertain, inform, and stimulate everyone who loves music—and make them think about their favorite song in startling new ways.