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 : 31. 5 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 : 64. 57 MB
Format : PDF, Kindle
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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

Love And Math

Author : Edward Frenkel
ISBN : 9780465064953
Genre : Mathematics
File Size : 83. 9 MB
Format : PDF, Mobi
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A New York Times Science Bestseller What if you had to take an art class in which you were only taught how to paint a fence? What if you were never shown the paintings of van Gogh and Picasso, weren’t even told they existed? Alas, this is how math is taught, and so for most of us it becomes the intellectual equivalent of watching paint dry. In Love and Math, renowned mathematician Edward Frenkel reveals a side of math we’ve never seen, suffused with all the beauty and elegance of a work of art. In this heartfelt and passionate book, Frenkel shows that mathematics, far from occupying a specialist niche, goes to the heart of all matter, uniting us across cultures, time, and space. Love and Math tells two intertwined stories: of the wonders of mathematics and of one young man’s journey learning and living it. Having braved a discriminatory educational system to become one of the twenty-first century’s leading mathematicians, Frenkel now works on one of the biggest ideas to come out of math in the last 50 years: the Langlands Program. Considered by many to be a Grand Unified Theory of mathematics, the Langlands Program enables researchers to translate findings from one field to another so that they can solve problems, such as Fermat’s last theorem, that had seemed intractable before. At its core, Love and Math is a story about accessing a new way of thinking, which can enrich our lives and empower us to better understand the world and our place in it. It is an invitation to discover the magic hidden universe of mathematics.

Quantitative Literacy

Author : National Council on Education and the Disciplines
ISBN : 0970954719
Genre : Education
File Size : 90. 70 MB
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Visions Of Utopia

Author : Edward Rothstein
ISBN : 0195171616
Genre : Architecture
File Size : 34. 90 MB
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From the sex-free paradise of the Shakers to the worker's paradise of Marx, utopian ideas seem to have two things in common--they all are wonderfully plausible at the start and they all end up as disasters. In Visions of Utopia, three leading cultural critics--Edward Rothstein, Martin Marty, and Herbert Muschamp--look at the history of utopian thinking, exploring why they fail and why they are still worth pursuing. Rothstein contends that every utopia is really a dystopia-- one that overlooks the nature of humanity and the impossibilities of paradise. He traces the ideal in politics and technology and suggests that only in art--and especially in music--does the desire for utopia find satisfaction. Marty examines several models of utopia--from Thomas More's to a 1960s experimental city that he helped to plan--to show that, even though utopias can never be realized, we should not be too quick to condemn them. They can express dimensions of the human spirit that might otherwise be stifled and can plant ideas that may germinate in more realistic and practical soil. Muschamp looks at Utopianism as exemplified in two different ways: the Buddhist tradition and the work of visionary Viennese architect Adolph Loos. Utopian thinking embodies humanity's noblest impulses, yet it can lead to horrors such as Nazi Germany and the Soviet Regime. In Visions of Utopia, these leading thinkers offer an intriguing look at the paradoxes of paradise.

The Sacred In Music

Author : Albert L. Blackwell
ISBN : 0664224865
Genre : Religion
File Size : 74. 25 MB
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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 : 32. 11 MB
Format : PDF, ePub
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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.

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