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Unit 5

Other Dimensions

Bibliography

WEBSITES

http://www.moma.org/exhibitions/1998/pollock/website100/index.html
http://www.collisiondetection.net/mt/archives/2006/02/_there_were_two.html
http://www.fam-bundgaard.dk/SOMA/NEWS/N010920.HTM
http://www.math.union.edu/~dpvc/math/4D/

PRINT

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

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

Carter, Steve and Chadwick Snow. "Helping Singles Enter Better Marriages Using Predictive Models of Marital Success," presented at the 16th Annual Convention of the American Psychological Society, (May 2004).

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

Edgar, Gerald A. Measure, Topology, and Fractal Geometry. New York: Springer-Verlag, 1990.

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

Falk, Ruma and Arnold D. Well, "Many Faces of the Correlation Coefficient," Journal of Statistics Education, vol. 5, no. 3 (1997).

Fiore, A.T. and Judith S. Donath. "Homophily in Online Dating: When Do You Like Someone Like Yourself?" Paper presented at the Conference on Human Factors in Computing Systems, Portland, Oregon, April 2-7, 2005
http://portal.acm.org/citation.cfm?id=1056808.1056919&coll=&dl=acm&type=series&idx=1056808&part=Proceedings&WantType=Proceedings&title=Conference%20on%20Human%20Factors%20in%20Computing%20Systems&CFID=15151515&CFTOKEN=6184618 (accessed April 20, 2007).

Greene, Brian. The Elegant Universe: Superstrings, Hidden Dimensions, and the Quest for the Ultimate Theory. New York: W.W. Norton and Co., 1999.

Kennedy, Randy. "Black, White and Read All Over Over." NYTimes.com (December 15, 2006), http://www.nytimes.com/2006/12/15/arts/design/15serk.html?ex=1323838800&en=8388f00a8250bff2&ei=5088&partner=rssnyt&emc=rss (accessed 2007).

Mandelbrot, Benoit B. The Fractal Geometry of Nature, Updated and Augmented. New York: W.H. Freeman and Company, 1983.

Mandelbrot, Benoit B. "How Long Is the Coast of Britain? Statistical Self-Similarity and Fractional Dimension," Science, 156 (1967).

McCallum, William G., Deborah Hughes-Hallett, Andrew M. Gleason, et al. Multivariable Calculus. New York: John Wiley and Sons, 1997.

Mureika, J.R. "Fractal Dimensions in Perceptual Color Space: A Comparison Study Using Jackson Pollock's Art." Cornell University Library. http://arxiv.org/abs/physics/0509152 (accessed 2007).

Mureika, J. R. et al. "Multifractal Structure in Nonrepresentational Art," Physical Review E, vol. 72, issue 4 (2005).

Ouellette, Jennifer. "Pollock's Fractals: That Isn't Just a Lot of Splattered Paint on Those Canvases: It's Good Mathematics" Discover, vol. 22, no. 11 (November 2001).

Randall, Lisa. Warped Passages: Unraveling Mysteries of the Universe's Hidden Dimensions. New York: Harper Perennial, 2005.

Rucker, Rudy. The Fourth Dimension: A Guided Tour of the Higher Universes. Boston, MA: Houghton-Mifflin Co., 1984.

Salas, S.L. and Einar Hille. Calculus: One and Several Variables, 6th ed. New York: John Wiley and Sons, 1990.

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

Taylor, Richard, Adam Micolich, and David Jonas. "Fractal Expressionism," PhysicsWorld, vol. 12, no. 10 (October 1999).

Taylor, R.P. et al. "From Science to Art and Back Again!" American Association for the Advancement of Science. http://sciencecareers.sciencemag.org/career_magazine/previous_issues/articles/2001_04_27/noDOI.2477544795567000231 (accessed 2007).

Taylor, Richard P. "Order in Pollock's Chaos," Scientific American, 116 (December 2002).

Weeks, Jeffrey R. The Shape of Space, 2nd ed. (Pure and Applied Mathematics). New York: Marcel Dekker Inc., 2002.

Weisstein, Eric W. "Hypercube." Wolfram Research. http://mathworld.wolfram.com/Hypercube.html (accessed 2007).

Weisstein, Eric W. "Fractal." Wolfram Research. http://mathworld.wolfram.com/Fractal.html (accessed 2007).

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