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Unit 1

The Primes

Bibliography

Websites

http://primes.utm.edu/howmany.shtml
http://www.rsa.com/
http://www.mersenne.org/
http://www.claymath.org/fas/research_fellows/Green/bio.pdf
http://www.math.ucla.edu/~tao/
http://www.fundinguniverse.com/company-histories/RSA -Security-Inc- Company-History.html

Print

Adleman, Leonard M. "Computing with DNA ," Scientific American, vol. 279, no. 2 (August 1998).

Aristotle. (translator: Hippocrates G. Apostle) Aristotle’s Metaphysics. Bloomington, IN: Indiana University Press, 1966.

Ash, Avner and Robert Gross. Fearless Symmetry: Exposing the Hidden Patterns of Numbers. Princeton, NJ: Princeton University Press, 2006.

Berlinghoff, William P and Fernando Q. Gouvea. Math Through the Ages: A Gentle History for Teachers and Others. Farmington, ME: Oxton House Publishers, 2002.

Bogart, Kenneth, Clifford Stein, and Robert L. Drysdale. Discrete Mathematics for Computer Science (Mathematics Across the Curriculum). Emeryville, CA: Key College Press, 2006.

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

Burton, David M. History of Mathematics: An Introduction, 4th ed. USA : WCB/ McGraw-Hill, 1999.

College of Letters and Science. "Terence Tao: The Mozart of Math." UCLA. http:// www.college.ucla.edu/news/05/terencetaomath.html (accessed January 25, 2007).

Dantzig, Tobias. Number: The Language of Science, The Masterpiece Science Edition. New York: Pi Press, an imprint of Pearson Education, Inc., 2005.

Devlin, Keith. "61: Prime-Time News, " Discover, vol. 26, no. 1 (January 2005).

Drake, Frank and Dava Sobel. Is Anyone Out There?: The Scientific Search for Extraterrestrial Intelligence. New York: Delacorte Press, 1992.

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

Du Sautoy, Marcus. 2006. Prime numbers get hitched. SEED (March 27), http://seedmagazine.com/news/2006/03/prime_numbers_get_hitched.php (accessed January 19, 2007).

Ellenberg, Jordan. 2006. Math’s architect of Beauty: how Terence Tao’s Quest for Elegance Earned him a Fields Medal and a Macarthur Fellowship. SEED (september 22), http://www.seedmagazine.com/news/2006/09/maths_ architect_of_beauty.php (accessed January 25, 2007).

Gross, Benedict and Joe Harris. The Magic of Numbers. Upper Saddle River, NJ: Pearson Education, Inc/ Prentice Hall, 2004.

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

Malkevitch, Joe. "Mathematics and Internet Security." American Mathematical Society. http://www.ams.org/featurecolumn/archive/internet.html (accessed January 19, 2007).

Pfaff, Thomas J. and Max Tran. "The N-Jugs and Water Problem," The Pi Mu Epsilon Journal, vol. 12, no. 1 (Fall 2004).

Rivest, Ron and Robert Silverman "Are 'Strong' Primes Needed for RSA?" International Association for Cryptologic Research. http://eprint.iacr. org/2001/007 (accessed 2007).

Rockmore, Daniel. Stalking the Riemann Hypothesis: The Quest To Find the Hidden Law of Prime Numbers. New York: Vintage Books, 2005.

Slezeviciene. , R., J. Steuding, and S. Turskien. . "Recent Breakthrough in Primality Testing," Nonlinear Analysis: Modeling and Control, vol. 9, no. 2 (2004).

Singh, Simon. The Code Book: The Evolution of Secrecy from Mary Queen of Scots to Quantum Cryptography. New York: Doubleday, 1999.

Tanton, James. "Arithmetic, Algebra and Abstraction," Text in preparation, to appear 2009.

Wells, David. Prime Numbers: The Most Mysterious Figures in Mathematics. Hoboken, NJ: John Wiley and Sons, Inc., 2005.

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