A spectacular musical and scientific journey from the Bronx to the cosmic horizon that reveals the astonishing links between jazz, science, Einstein, and Coltrane More than fifty years ago, John Coltrane drew the twelve musical notes in a circle and connected them by straight lines, forming a five-pointed star. Inspired by Einstein, Coltrane put physics and geometry at the core of his music. Physicist and jazz musician Stephon Alexander follows suit, using jazz to answer physics' most vexing questions about the past and future of the universe. Following the great minds that first drew the links between music and physics-a list including Pythagoras, Kepler, Newton, Einstein, and Rakim — The Jazz of Physics reveals that the ancient poetic idea of the "Music of the Spheres," taken seriously, clarifies confounding issues in physics. The Jazz of Physics will fascinate and inspire anyone interested in the mysteries of our universe, music, and life itself.

A wide-ranging exploration of how music has influenced science through the ages, from fifteenth-century cosmology to twentieth-century string theory. In the natural science of ancient Greece, music formed the meeting place between numbers and perception; for the next two millennia, Pesic tells us in Music and the Making of Modern Science, “liberal education” connected music with arithmetic, geometry, and astronomy within a fourfold study, the quadrivium. Peter Pesic argues provocatively that music has had a formative effect on the development of modern science—that music has been not just a charming accompaniment to thought but a conceptual force in its own right. Pesic explores a series of episodes in which music influenced science, moments in which prior developments in music arguably affected subsequent aspects of natural science. He describes encounters between harmony and fifteenth-century cosmological controversies, between musical initiatives and irrational numbers, between vibrating bodies and the emergent electromagnetism. He offers lively accounts of how Newton applied the musical scale to define the colors in the spectrum; how Euler and others applied musical ideas to develop the wave theory of light; and how a harmonium prepared Max Planck to find a quantum theory that reengaged the mathematics of vibration. Taken together, these cases document the peculiar power of music—its autonomous force as a stream of experience, capable of stimulating insights different from those mediated by the verbal and the visual. An innovative e-book edition available for iOS devices will allow sound examples to be played by a touch and shows the score in a moving line.

Beginning with a survey of similar theories associating music with the cyclic motions of planets, from Plato to Boethius, the author highlights Ptolemy's Harmonics, a source of inspiration for Kepler's later work. Turning to Kepler himself, Stephenson gives an account of his polyhedral theory, which explains the number and sizes of the planetary orbits in terms of the five regular polyhedral.

Music, Sound and Space is the first collection to integrate research from musicology and sound studies on music and sound as they mediate everyday life. Music and sound exert an inescapable influence on the contemporary world, from the ubiquity of MP3 players to the controversial use of sound as an instrument of torture. In this book, leading scholars explore the spatialisation of music and sound, their capacity to engender modes of publicness and privacy, their constitution of subjectivity, and the politics of sound and space. Chapters discuss music and sound in relation to distinctive genres, technologies and settings, including sound installation art, popular music recordings, offices and hospitals, and music therapy. With international examples, from the Islamic soundscape of the Kenyan coast, to religious music in Europe, to First Nation musical sociability in Canada, this book offers a new global perspective on how music and sound and their spatialising capacities transform the nature of public and private experience.

As a distinguished scholar of Renaissance music, James Haar has had an abiding influence on how musicology is undertaken, owing in great measure to a substantial body of articles published over the past three decades. Collected here for the first time are representative pieces from those years, covering diverse themes of continuing interest to him and his readers: music in Renaissance culture, problems of theory as well as the Italian madrigal in the sixteenth century, the figures of Antonfrancesco Doni and Giovanthomaso Cimello, and the nineteenth century's views of early music. In this collection, the same subject is seen from several angles, and thus gives a rich context for further exploration. Haar was one of the first to recognize the value of cultural study. His work also reminds us that the close study of the music itself is equally important. The articles contained in this book show the author's conviction that a good way to address large problems is to begin by focusing on small ones. Originally published in 1998. The Princeton Legacy Library uses the latest print-on-demand technology to again make available previously out-of-print books from the distinguished backlist of Princeton University Press. These editions preserve the original texts of these important books while presenting them in durable paperback and hardcover editions. The goal of the Princeton Legacy Library is to vastly increase access to the rich scholarly heritage found in the thousands of books published by Princeton University Press since its founding in 1905.

Ever since its infancy, humankind has been seeking answers to some very basic and profound questions. Did the Universe begin? If it did, how old is it, and where did it come from? What is its shape? What is it made of? Fascinating myths and brilliant in- itions attempting to solve such enigmas can be found all through the history of human thought. Every culture has its own legends, itsownworldcreationtales,itsphilosophicalspeculations,itsre- gious beliefs. Modern science, however, cannot content itself with fanciful explanations, no matter how suggestive they are. No- days, our theories about the Universe, built upon rational ded- tion, have to survive the hard test of experiment and observation. Cosmology, the science which studies the origin and evo- tion of the Universe, had to overcome enormous dif?culties before it could achieve the same level of dignity as other physical dis- plines. At ?rst, it had no serious physical model and mathematical tools that could be used to address the complexity of the problems it had to face. Then, it suffered from a chronic lack of experim- tal data, which made it almost impossible to test the theoretical speculations. Given this situation, answering rigorously the many questions on the nature of the Universe seemed nothing more than a delusion. Today, however, things have changed. We live in the golden age of cosmology: an exciting moment, when, for the ?rst time, we are able to scienti?cally understand our Universe.

Discover how to find constellations like the Royal Family group or those near Orion the Hunter from season to season throughout the year How to use the Sea of Crises as your guidepost for further explorations on the moon's surface Investigate deep sky wonders, extra solar planets, and beyond as God's creation comes alive! Think you know all there is to know about our solar system? You might be surprised at some of the amazing details that you find when you begin Exploring the World of Astronomy! From the rugged surface of the moon to the distant and mysterious constellations, this book provides an exciting educational tour for students of different ages and skill levels. Learn about a blue moon, the 400-year storm on Jupiter, and what is meant by "the zone of life." Discussion ideas, questions, and research opportunities help expand this great resource on observational astronomy into an unforgettable educational course for middle school to high school students!