Этот веб-сайт требует, чтобы для Вашего браузера был включен JavaScript.
Пожалуйста, включите JavaScript и перезагрузите страницу.
Для веб-сайта требуется, чтобы Ваш браузер разрешил использование файлов cookie для входа в систему.
Пожалуйста, активируйте cookies и перезагрузите страницу.
Carte romana
Carte rusa
Carte engleza
Vezi toate cartile
Top branduri cosmetica
Cosmetica Coreeana
Machiaj
Ingrijire ten
Ingrijire par
Ingrijire corp
Produse de baie
Igiena orala
Igiena intima
Igiena sexuala
Cosmetice barbati
Seturi cadou
Naturale si organice
Vezi toate cosmeticele
Top branduri dermatocosmetica
Protectie solara
Seturi cadou si pachete promo
Parfumuri pentru femei
Top branduri femei
Premium brands femei
Parfumuri unisex
Vezi toate parfumurile
Parfumuri pentru barbati
Top branduri barbati
Premium brands barbati
Jucarii si jocuri
Hrana si articole copii
Scutece si servetele
Rechizite si papetarie
Vezi toate produsele
Genti & Accesorii
Bijuterii
Ochelari de soare femei
Ochelari de soare barbati
Top Branduri Genti
Top Branduri Bijuterii
Rame ochelari
Vezi toti ochelarii de soare
Imbracaminte
Ceasuri de dama
Top branduri Ceasuri de Dama
Ceasuri barbatesti
Top branduri Ceasuri Barbatesti
Vezi toate ceasurile
Nutritie & Suplimente
Branduri
Certificate Cadou
Felicitari
Plicuri
Cutii si Accesorii
Curatenie si intretinere
Bucatarie si servirea mesei
Textile camera
Covoare
Decoratiuni
Gareth E. RobertsFrom Music to Mathematics: Exploring the Connections, Hardcover
в Пункте приема от 99,9 лей
Даже распечатанный
Перед оплатой
Contributor(s):
Taking a "music first" approach, Gareth E. Roberts's From Music to Mathematics will inspire students to learn important, interesting, and at times advanced mathematics. Ranging from a discussion of the geometric sequences and series found in the rhythmic structure of music to the phase-shifting techniques of composer Steve Reich, the musical concepts and examples in the book motivate a deeper study of mathematics.
Comprehensive and clearly written, From Music to Mathematics is designed to appeal to readers without specialized knowledge of mathematics or music. Students are taught the relevant concepts from music theory (notation, scales, intervals, the circle of fifths, tonality, etc.), with the pertinent mathematics developed alongside the related musical topic. The mathematics advances in level of difficulty from calculating with fractions, to manipulating trigonometric formulas, to constructing group multiplication tables and proving a number is irrational.
Topics discussed in the book include
Rhythm Introductory music theory The science of sound Tuning and temperament Symmetry in music The Bart k controversy Change ringing Twelve-tone music Mathematical modern music The Hemachandra-Fibonacci numbers and the golden ratio Magic squares Phase shifting
Featuring numerous musical excerpts, including several from jazz and popular music, each topic is presented in a clear and in-depth fashion. Sample problems are included as part of the exposition, with carefully written solutions provided to assist the reader. The book also contains more than 200 exercises designed to help develop students' analytical skills and reinforce the material in the text. From the first chapter through the last, readers eager to learn more about the connections between mathematics and music will find a comprehensive textbook designed to satisfy their natural curiosity.
Мы хотели бы узнать Ваше мнение! Оценить и пересмотреть этот пункт
Нет ни одного отзыва от других пользователей.