Unit 10

Harmonious Math

Video: View Video Online; Video Transcript
Textbook: Introduction; The Math of Time; Sound and Waves; Mathematics of Waves; Fourier; Can You Hear the Shape of a Drum?
Download PDFs: Text Chapter; Facilitator Guide; Participant Guide
Additional Resources: Bibliography

Bibliography

WEBSITES

http://falstad.com
http://www.ams.org/featurecolumn/archive/199706.html

PRINT

Boyer, Carl B. (revised by Uta C. Merzbach). A History of Mathematics, 2^nd ed. New York: John Wiley and Sons, 1991.

Burk, Phil, Larry Polansky, Douglas Repetto, Mary Roberts, and Dan Rockmore. Music and Computers: A Theoretical and Historical Approach. Emeryville, CA: Key College Publishing, 2004.

Du Sautoy, Marcus. The Music of the Primes: Searching To Solve the Greatest Mystery in Mathematics. New York: Harper Collins, 2003.

Eves, Howard. An Introduction to the History of Mathematics, 5^th ed. (The Saunders Series) Philadelphia, PA: Saunders College Publishing, 1983.

Harkleroad, Leon. The Math Behind the Music. New York: Cambridge University Press and Washington, DC: Mathematical Association of America, 2006.

Kac, Mark. "Can One Hear the Shape of a Drum?" The American Mathematical Monthly, vol. 73, no. 4, part 2: Papers in Analysis (April 1966).

Lazzaro, John and John Wawrzynek. "Subtractive Synthesis Without Filters," Audio Anecdotes II. (2004).

Nahin, Paul J. Dr. Euler's Fabulous Formula: Cures Many Mathematical Ills. Princeton, NJ: Princeton University Press, 2006.

Rockmore, Dan. Stalking the Riemann Hypothesis The Quest To Find the Hidden Law of Prime Numbers. New York: Vintage Books (division of Randomhouse), 2005.

Rothstein, Edward. Emblems of Mind: The Inner Life of Music and Mathematics. USA: Times Books, 1995.

Transnational College of LEX. Translated by Alan Gleason. Who is Fourier? A Mathematical Adventure. Belmont, MA: Language Research Foundation, 1995.