1 |
Andrews, C. (2006). Perfect Harmony. Times Educational Supplement, 4667, 22. Retrieved November26, 2007, from Lexis Nexis database.
|
2 |
Benson, D. (2007). Music:A Mathematical Offering. Cambridge, UK: Cambridge University Press.
|
3 |
Capleton, B. (2006). Music, Mathematics, Philosophy and Tuning: Harmonic theory pages. Retrieved January30,2008,from http://amarilli.co.uk/piano/theory/pythcrcl.asp
|
4 |
Chandler, M. (2007). In This Class, Math Comes with Music. The Washington Post Online.
|
5 |
DuSautoy, M. (2003). The Music of the Primes: Searching to solve the greatest mystery in mathematics. Harpers Collins Publishers.
|
6 |
Dyck, M. (1960). Novalis and Mathematics: A Study of Friedrich von Hardenberg's Fragments on Mathematics and its Relation to Magic, Music, Religion, Philosophy, Language, and Literature. Chapel Hill, NC: University of North Carolina Press.
|
7 |
Edelson, R. J. & Johnson, G. (2003). Music makes math meaningful. Childhood Education 80(2), 65-70.
DOI
|
8 |
Fauvel, J., Flood, R., & Wilson, R.J.(Eds.) (2003). Music and Mathematics: From Pythagoras to Fractals. New York, NY: Oxford University Press.
|
9 |
Haack, J. (1998). The Mathematics of Steve Reich's Clapping Music. Bridges: Mathematical connections in Art, Music, and Science; Conference Proceeding. Arkansas City, KS: Gilliland Printing.
|
10 |
Harkleroad, L. (2006). The Math Behind the Music. New York, US: Cambridge University Press.
|
11 |
Hinds, D. (2006). Beating a Path Between Music and Maths. The Times Educational Supplement, 4714, p. 48. Retrieved September28,2007,from Lexis Nexis database.
|
12 |
Houser, D. (2002). Roots in Music. Mathematics Teacher. The National Council of Teachers of Mathematics, Inc.
|
13 |
Johnson, C. M. (2001). Functions of Number Theory in Music. Mathematics Teacher 94(8), 701- 707.
|
14 |
Ju, M.; Moon, J. & Song, R. (2012). Convergence Education in Mathematics: Issues and Tasks. School Mathematics,14(1), 165-190
|
15 |
Link, J. (1977). The Mathematics of Music. Baltimore, MA: Gateway Press.
|
16 |
Loy, G. (2007). Musicmatics: The Mathematical Foundations of Music (Vols.1-2). Cambridge, MA: The MIT Press.
|
17 |
Rogers, G. (2004). Interdisciplinary Lessons in Musical Acoustics: The Science-Math-Music Connection. Music Educators Journal 91(1), 25-30.
DOI
|
18 |
Madden, C. (1999). Fractals in Music: Introductory Mathematics for Musical Analysis. Salt Lake City, UT: High Art Press.
|
19 |
May, M. (1998). Did Mozart use the Golden Section? American Scientist 84(2), p. 1.
|
20 |
Putz, J. F. (1995). The Golden Section and the Piano Sonatas by Mozart. Mathematics Magazine, 68(4), 275-282.
DOI
|
21 |
Saminsky, L. (1957). Physics and Metaphysics of Music. Physics and Metaphysics of Music and Essays on the Philosophy of Mathematics. Hague, Netherlands: Martinus Nijhoff.
|
22 |
Santu, D. (1998). The Math behind Music: Pitches, Scales, Geometry. Math Forum. http://mathforum. org/library/drmath/view/52312.html
|
23 |
Schaffer, K., Stern, E. & Kim, S. (2001). Math Dance with Dr. Schaffer and Mr. Stern. Preliminary Edition.
|
24 |
Wilson, E. (2005). Consilience: The unity of Knowledge. New York, USA:Vintage Books. Retrieved from: http://wtf.tw/ref/wilson.pdf
|
25 |
Zhan, C. (2008). The Correlation between Music and Math: A Neurobiology Perspective. Retrieved January 30, 2008, from http://serendip.brwnmawr.edu/
|