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Музыка и Математика / TTC - How Music and Mathematics Relate
Страна: USA
Тематика: Математика, музыка
Тип раздаваемого материала: Видеоурок
Продолжительность: 540 minutes
Язык: Английский
Перевод: Отсутствует
Описание:'Проверяем алгеброй гармонию'. Серия лекций о взаимосвязи математики и музыки. Очень интересно и для музыкантов и для математиков ;)
Gain new perspective on two of the greatest achievements of human culture-music and math-and the fascinating connections that will help you more fully appreciate the intricacies of both. Great minds have long sought to understand the relationship between music and mathematics. On the surface, they seem very different but music and mathematics are connected in fundamental ways. Both involve patterns, structures, and relationships. Both generate ideas of great beauty and elegance. Music is a fertile testing ground for mathematical principles, while mathematics explains the sounds instruments make and how composers put those sounds together. Moreover, the practitioners of both share many qualities, including abstract thinking, creativity, and intense focus. Understanding the connections between music and mathematics helps you appreciate both, even if you have no special ability in either field-from knowing the mathematics behind tuning an instrument to understanding the features that define your favorite pieces. By exploring the mathematics of music, you also learn why non-Western music sounds so different, gain insight into the technology of modern sound reproduction, and start to hear the world around you in exciting new ways.
Among the insights offered by the study of music and mathematics together are these:
* Harmonic series
* 'Air on the G String'
* Auditory illusions
* Atonal music
In 12-45 minute lectures, you get a new perspective on music and mathematics which are packed with information and musical examples from Bach, Mozart, and Tchaikovsky to haunting melodies from China, India, and Indonesia. No expertise in either music or higher-level mathematics is required to appreciate this astonishing alliance between art and science. Course instructor and educator David Kung, Professor of Mathematics at St. Mary's College of Maryland, has the background to teach both of these subjects.
Качество: WEBRip
Формат: MP4
Видео кодек: MPEG-4
Аудио кодек: AAC
Видео: mp4v 426x320 29.97fps 818 kb/s
Аудио: AAC 48000Hz stereo 94kbps
Страна: USA
Тематика: Математика, музыка
Тип раздаваемого материала: Видеоурок
Продолжительность: 540 minutes
Язык: Английский
Перевод: Отсутствует
Описание:'Проверяем алгеброй гармонию'. Серия лекций о взаимосвязи математики и музыки. Очень интересно и для музыкантов и для математиков ;)
Gain new perspective on two of the greatest achievements of human culture-music and math-and the fascinating connections that will help you more fully appreciate the intricacies of both. Great minds have long sought to understand the relationship between music and mathematics. On the surface, they seem very different but music and mathematics are connected in fundamental ways. Both involve patterns, structures, and relationships. Both generate ideas of great beauty and elegance. Music is a fertile testing ground for mathematical principles, while mathematics explains the sounds instruments make and how composers put those sounds together. Moreover, the practitioners of both share many qualities, including abstract thinking, creativity, and intense focus. Understanding the connections between music and mathematics helps you appreciate both, even if you have no special ability in either field-from knowing the mathematics behind tuning an instrument to understanding the features that define your favorite pieces. By exploring the mathematics of music, you also learn why non-Western music sounds so different, gain insight into the technology of modern sound reproduction, and start to hear the world around you in exciting new ways.
Among the insights offered by the study of music and mathematics together are these:
* Harmonic series
* 'Air on the G String'
* Auditory illusions
* Atonal music
In 12-45 minute lectures, you get a new perspective on music and mathematics which are packed with information and musical examples from Bach, Mozart, and Tchaikovsky to haunting melodies from China, India, and Indonesia. No expertise in either music or higher-level mathematics is required to appreciate this astonishing alliance between art and science. Course instructor and educator David Kung, Professor of Mathematics at St. Mary's College of Maryland, has the background to teach both of these subjects.
Качество: WEBRip
Формат: MP4
Видео кодек: MPEG-4
Аудио кодек: AAC
Видео: mp4v 426x320 29.97fps 818 kb/s
Аудио: AAC 48000Hz stereo 94kbps
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