From Kepler and the music of the spheres to Einstein and his violin, wherever we turn music and mathematics seem to bear a strong relationship.
Author: Edward Rothstein
From Kepler and the music of the spheres to Einstein and his violin, wherever we turn music and mathematics seem to bear a strong relationship. Through exploring music and math from the Greeks to the present, the chief music critic for The New York Times seeks to unravel this intriguing mystery.
MATHEMATICS AND MUSIC The mathematics in this book is simple and direct; no previous mathematical experience is ... as suggested by Edward Rothstein's Emblems of Mind: The Inner Life of Music and Mathematics.1 Rothstein likens the ...
Author: Timothy A. Johnson
Publisher: Scarecrow Press
Foundations of Diatonic Theory: A Mathematically Based Approach to Music Fundamentals is an introductory, undergraduate-level textbook that provides an easy entry point into the challenging field of diatonic set theory, a division of music theory that applies the techniques of discrete mathematics to the properties of diatonic scales. After introducing mathematical concepts that relate directly to music theory, the text concentrates on these mathematical relationships, firmly establishing a link between introductory pedagogy and recent scholarship in music theory. It then relates concepts in diatonic set theory directly to the study of music fundamentals through pedagogical exercises and instructions. Ideal for introductory music majors, the book requires only a general knowledge of mathematics, and the exercises are provided with solutions and detailed explanations. With its basic description of musical elements, this textbook is suitable for courses in music fundamentals, music theory for non-music majors, music and mathematics, and other similar courses that allow students to improve their mathematics skills while pursuing the study of music.
Music as brain builder . Science 283 ( March 26 ) : 2007 . James , Jamie . 1993. The Music of the Spheres : Music , Science , and the Natural Order . ... Emblems of Mind : The Inner Life of Music and Mathematics .
David Mermin went on to say (with caveats), “Sociologists should bear this in mind when addressing scientists ... recognize that ... Emblems of Mind: The Inner Life of Music and Mathematics (Chicago: University of Chicago Press, 2006).
The authors of this collection argue that all philosophy is really philosophy of culture and that through it we can live more meaningful, flourishing, and wisely guided lives.
20 It is true that we could choose terms other than " sacramental " to designate music as a path of human and divine meeting . ... Emblems of Mind : The Inner Life of Music and Mathematics ( New York : Times Books , 1995 ) . 23. p.218 .
Author: Albert L. Blackwell
Publisher: Westminster John Knox Press
Religion and music are complementary resources for interpreting our lives. Music serves the sacred in ways that can be specified and articulated, yet the connection between them has been sorely neglected in the scholarly study of religion. In The Sacred in Music, Albert Blackwell brings the two subjects together in a celebration of the rich Western musical tradition, both classical and Christian.
Carl Rollyson AMERICAN ISIS: THE LIFE AND ART OF SYLVIA PLATH (St. Martin's Press, 2013). Carlin Romano AMERICA THE PHILOSOPHICAL (Alfred A. Knopf, 2012). Edward Rothstein EMBLEMS OF MIND: THE INNER LIFE OF MUSIC AND MATHEMATICS (Times ...
Author: Erich Welling
Publisher: Strategic Book Publishing Rights Agency
How to use philosophy and music to open your horizons and enjoy being yourself, put theory to work, and help you experience personal growth is discussed in A Marriage of Philosophy and Music. It is all about "after." After having a liberal education, you are comfortable in modern culture, and after further education and becoming a specialist in some field, you enjoy using your skills. We learn the ideas and methods of many social cultures and our own chosen specialty, but we often neglect the liberal art of disciplining and enjoying the ideas and methods of our own individuality. This book offers a path toward the education of privacy, with the key words being selection, design, and beauty. The book relates five areas of general human interest: spirituality, philosophy, science, art, and body awareness. The interrelation is accomplished by using personal patterns of experience that are available from philosophy and music. Because of the plurality of subject matters and methods used in philosophy and music, their patterns of discipline are comparable to self-discipline. A Marriage of Philosophy and Music attempts to create a path in this direction, because besides the enjoyment of social culture and personal skills, there is enjoyment in being yourself, which is a neglected liberal art.
 A. Ross, Taking liberties, New Yorker Magazine, August 31, 2009. http://www.new yorker.com/arts/critics/musical/2009/08/31./09o831crmu_music_ross  E. Rothstein, Emblems of Mind: The Inner Life of Music and Mathematics, ...
Author: Mircea Pitici
Publisher: Princeton University Press
Collects essays on mathematics, from the mathematical aspects of origami and the mathematics of dating to the frequency and distribution of prime numbers and a ball in five dimensions.
“Music Notations and the Representation of Musical Structure and Knowledge. ... The Well-Tempered Object: Musical Applications of Object-Oriented Software Technology. ... Emblems of Mind: The Inner Life of Music and Mathematics.
Author: Gareth Loy
Publisher: MIT Press
A commonsense, self-contained introduction to the mathematics and physics of music; essential reading for musicians, music engineers, and anyone interested in the intersection of art and science. “Mathematics can be as effortless as humming a tune, if you know the tune,” writes Gareth Loy. In Musimathics, Loy teaches us the tune, providing a friendly and spirited tour of the mathematics of music—a commonsense, self-contained introduction for the nonspecialist reader. It is designed for musicians who find their art increasingly mediated by technology, and for anyone who is interested in the intersection of art and science. In Volume 1, Loy presents the materials of music (notes, intervals, and scales); the physical properties of music (frequency, amplitude, duration, and timbre); the perception of music and sound (how we hear); and music composition. Calling himself “a composer seduced into mathematics,” Loy provides answers to foundational questions about the mathematics of music accessibly yet rigorously. The examples given are all practical problems in music and audio. Additional material can be found at http://www.musimathics.com.
... how music and mathematics may illuminate thought, see Douglas R. Hofstadter, Gödel, Escher, Bach: An Eternal Golden Braid (New York: Basic Books, 1979), and Edward Rothstein, Emblems of Mind: The Inner Life of Music and Mathematics ...
Author: Jeremy S. Begbie
Publisher: Wm. B. Eerdmans Publishing
Resonant Witness gathers together a wide, harmonious chorus of voices from across the musical and theological spectrum to show that music and theology can each learn much from the other and that the majesty and power of both are profoundly amplified when they do. With essays touching on J. S. Bach, Hildegard of Bingen, Martin Luther, Karl Barth, Olivier Messiaen, jazz improvisation, South African freedom songs, and more, this volume encourages musicians and theologians to pursue a more fruitful and sustained engagement with one another. What can theology do for music? Resonant Witness helps answer this question with an essential resource in the burgeoning interdisciplinary field of music and theology. Covering an impressively wide range of musical topics, from cosmos to culture and theology to worship, Jeremy Begbie and Steven Guthrie explore and map new territory with incisive contributions from the very best musicians, theologians, and philosophers. Bennett Zon Durham University This volume represents a burst of cross-disciplinary energy and insight that can be celebrated by musicians and theologians, music-lovers and God-lovers alike. John D. Witvliet (from afterword)
Bulletin of the Institute of Mathematics and its Applications, 10(7/8), 266–271. ... Transitions in teaching: A situative view of learning to teach secondary mathematics. ... Emblems of mind: The inner life of music and mathematics.
Author: Yuichi Handa
This book opens up alternative ways of thinking and talking about ways in which a person can "know" a subject (in this case, mathematics), leading to a reconsideration of what it may mean to be a teacher of that subject. In a number of European languages, a distinction is made in ways of knowing that in the English language is collapsed into the singular word know. In French, for example, to know in the savoir sense is to know things, facts, names, how and why things work, and so on, whereas to know in the connaître sense is to know a person, a place, or even a thing—namely, an other— in such a way that one is familiar with, or in relationship with this other. Primarily through phenomenological reflection with a touch of empirical input, this book fleshes out an image for what a person’s connaître knowing of mathematics might mean, turning to mathematics teachers and teacher educators to help clarify this image.