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Unit 7

Making Sense of Randomness

Bibliography

WEBSITES

http://www.dartmouth.edu/~chance/

PRINT

Barth, Mike. "Industry Loss and Expense Ratio Comparisons Between HMOs and Life/Health Insurers," NAIC Research Quarterly, vol. 3, no. 1 (January 1997).

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

Berlinghoff, William P. and Kerry E. Grant. A Mathematics Sampler: Topics for the Liberal Arts, 3rd ed. New York: Ardsley House Publishers, Inc., 1992.

Bernstein, Peter L. Against the Gods: The Remarkable Story of Risk. New York: John Wiley and Sons, 1996.

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

Burton, David M. History of Mathematics: An introduction, 4th ed. New York: WCB/McGraw-Hill, 1999.

Casti, John L. Five More Golden Rules: Knots, Codes, Chaos, and Other Great Theories of 20th-Century Mathematics. New York: John Wiley and Sons, Inc., 2000.

David, F.N. Games, Gods and Gambling; The Origins and History of Probability and Statistical Ideas from the Earliest Times to the Newtonian Era. New York: Hafner Publishing Company, 1962.

De Fermat, Pierre. "Fermat and Pascal on Probability" from Oeuvres de Fermat, Tannery and Henry, eds. University of York. http://www.york.ac.uk/depts/ maths/histstat/pascal.pdf (accessed October 26, 2005).

Desrosieres, Alain. The Politics of Large Numbers (translated by Camille Naish). Cambridge, MA: Harvard University Press, 1998.

D'Souza, R. M. "Coexisting phases and lattice dependence of a cellular automata model for traffic flow," Physical Review E, vol. 71 (2005).

Epstein, Richard A. The Theory of Gambling and Statistical Logic. New York: Academic Press, 1977.

Gigerenzer, Gerd et al. The Empire of Chance: How Probability Changed Science and Everyday Life. New York: Cambridge University Press, 1989.

Ghahramani, Saeed. Fundamentals of Probability, 2nd ed. Upper Saddle River, NJ: Prentice Hall, Inc., 2000.

Gordon, Hugh. Discrete Probability. New York: Springer, 1997.

Grinstead, Charles M. and J. Laurie Snell. Introduction to Probability: 2nd rev. ed. Providence, RI : American Mathematical Society, 1997.

Griffiths, T.L. and Tenebaum, J.B. "Probability, Algorithmic Complexity, and Subjective Randomness," Proceedings of the Twenty-Fifth Annual Conference of the Cognitive Science Society, (2003).

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

Kelly, J.L. Jr. "A New Interpretation of Information Rate," Bell Systems Technical Journal, vol. 35 (September 1956).

Larsen, Richard J and Morris L. Marx. An Introduction to Probability and its Applications. Englewood Cliffs, NJ: Prentice Hall, Inc., 1985.

Martin, Bruce. "Fate… or Blind Chance? What Seems Like Eerie Predestination Is Merely Coincidence," The Washington Post, September 9, 1998, final edition.

Relf, Simon and Dennis Almeida. "Exploring the 'Birthdays Problem' and Some of its Variants Through Computer Simulation," International Journal of Mathematical Education in Science & Technology, vol. 30, no. 1 (January/ February 1999).

Smith, David Eugene. A Source Book in Mathematics. New York: McGraw-Hill Book Company, Inc., 1929.

Tannenbaum, Peter. Excursions in Modern Mathematics, 5th ed. Upper Saddle River, NJ: Pearson Education, Inc., 2004.

LECTURES

D'Souza, R.M. "The Science of Complex Networks." CSE Seminar at University of California - Davis, February 2006. HYPERLINK "http://mae.ucdavis.edu/dsouza/ talks.html" http://mae.ucdavis.edu/dsouza/talks.html (accessed 2007).

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