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Unit 12

In Sync

Bibliography

WEBSITES

http://math.nyu.edu/faculty/peskin/heartnotes/index.html
http://salt.uaa.alaska.edu/dept/metro.html
http://www.arup.com/MillenniumBridge/

PRINT

Bardi, Jason Socrates. The Calculus Wars: Newton, Leibniz, and the Greatest Mathematical Clash of All Time. New York: Thunder Mouth's Press (division of Avalon Publishing Group), 2006.

Bogert, Lysander W.J., Ayten Erol-Yilmaz, Raymond Tukkie, and Johannes J. Van Lieshout. "Varying the Heart Rate Response to Dynamic Exercise in Pacemaker-Dependent Subjects: Effects on Cardiac Output and Cerebral Blood Velocity," Clinical Science, vol. 109 (July 2005).

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

Diacu, Florin, and Philip Holmes. Celestial Encounters: the Origins of Chaos and Stability. Princeton, NJ: Princeton University Press, 1996.

Joseph, George Gheverghese. Crest of the Peacock : The Non-European Roots of Mathematics. Princeton, NJ: Princeton University Press, 2000.

Michaels, D.C., E.P. Matyas, and J. Jalife. "Mechanisms of Sinoatrial Pacemaker Synchronization: A New Hypothesis," Circulation Research, vol. 61, no. 55 (November 1987).

Pantaleone, James. "Synchronization of Metronomes," American Journal of Physics, vol. 70, no. 10 (October 2002).

Pikovsky, Arkady, Michael Rosenblum, and Jurgen Kurths. Synchronization : A Universal Concept in Nonlinear Sciences. New York: Cambridge University Press, 2001.

Strogatz, Steven. Sync: The Emerging Science of Spontaneous Order. New York: Hyperion, 2003.

Strogatz, Steven. Nonlinear Dynamics and Chaos: With Applications to Physics, Biology, Chemistry and Engineering. Cambridge, MA: Perseus Books Publishing, 2000.

Thornton, Marion. Classical Dynamics of Particles and Systems, 4th ed. Orlando, FL: Saunders College Publishing (Harcourt Brace College Publishers), 1995.

Watts, Duncan. Small Worlds: The Dynamics of Networks Between Order and Randomness. (Princeton Studies in Complexity). Princeton, NJ: Princeton University Press, 1999.

Watts, Duncan. Six Degrees: The Science of the Connected Age. New York: W.W. Norton and Co., 2003.

Yeung, M. K. Stephen and Steven H. Strogatz. "Time Delay in the Kuramoto Model of Coupled Oscillators," Physical Review Letters, vol. 82, no. 3 (January 1999).

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