From Music to Mathematics : Exploring the Connections PDF ePub eBook

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From Music to Mathematics  :  Exploring the Connections free pdf

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 Bartok 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."

About Gareth E. Roberts

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Details Book

Author : Gareth E. Roberts
Publisher : Johns Hopkins University Press
Data Published : January 2016
ISBN : 9781421419183
EAN : 9781313927147
Format Book : PDF, Epub, DOCx, TXT
Number of Pages : 320 pages
Age + : Ages 22 years
Language : English
Rating :

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  • From Music to Mathematics  :  Exploring the Connections free pdfFrom Music to Mathematics : Exploring the Connections

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    Taking a "music first" approach, Gareth E. Roberts's "From Music to Mathematics" will inspire students to learn important, interesting, and at times advanced mathe