emblems of mind the inner life of music and mathematics

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Emblems Of Mind

Author : Edward Rothstein
ISBN : 0226729540
Genre : Mathematics
File Size : 40. 73 MB
Format : PDF
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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.

Emblems Of The Mind

Author : Edward Rothstein
ISBN : 0380727471
Genre : Mathematics
File Size : 48. 83 MB
Format : PDF, Docs
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Unravels the mystery of the relationship between music and mathematics, discussing their differences and their surprising similarities--including their origins and historical links

Foundations Of Diatonic Theory

Author : Timothy A. Johnson
ISBN : 0810862131
Genre : Mathematics
File Size : 47. 46 MB
Format : PDF
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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. --from publisher description

The Sacred In Music

Author : Albert L. Blackwell
ISBN : 0664224865
Genre : Religion
File Size : 44. 31 MB
Format : PDF
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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.

The New Handbook Of Research On Music Teaching And Learning

Author : Richard Colwell
ISBN : 9780199771523
Genre : Music
File Size : 78. 89 MB
Format : PDF, Kindle
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Featuring chapters by the world's foremost scholars in music education and cognition, this handbook is a convenient collection of current research on music teaching and learning. This comprehensive work includes sections on arts advocacy, music and medicine, teacher education, and studio instruction, among other subjects, making it an essential reference for music education programs. The original Handbook of Research on Music Teaching and Learning, published in 1992 with the sponsorship of the Music Educators National Conference (MENC), was hailed as "a welcome addition to the literature on music education because it serves to provide definition and unity to a broad and complex field" (Choice). This new companion volume, again with the sponsorship of MENC, explores the significant changes in music and arts education that have taken place in the last decade. Notably, several chapters now incorporate insights from other fields to shed light on multi-cultural music education, gender issues in music education, and non-musical outcomes of music education. Other chapters offer practical information on maintaining musicians' health, training music teachers, and evaluating music education programs. Philosophical issues, such as musical cognition, the philosophy of research theory, curriculum, and educating musically, are also explored in relationship to policy issues. In addition to surveying the literature, each chapter considers the significance of the research and provides suggestions for future study. Covering a broad range of topics and addressing the issues of music education at all age levels, from early childhood to motivation and self-regulation, this handbook is an invaluable resource for music teachers, researchers, and scholars.

Mathematical Treks

Author : Ivars Peterson
ISBN : 0883855372
Genre : Mathematics
File Size : 25. 31 MB
Format : PDF, ePub, Docs
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Collected articles on mathematics from the popular Math treks column; extra web support available.

A Marriage Of Philosophy And Music

Author : Erich Welling
ISBN : 9781628574111
Genre : Philosophy
File Size : 58. 95 MB
Format : PDF, Kindle
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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.

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