Teacher resources and professional development across the curriculum

Teacher professional development and classroom resources across the curriculum

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Unit 6

The Beauty of Symmetry



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

Bashmakova, Isabella and Galina Smirnova. The Beginnings and Evolution of Algebra, trans. Abe Shenitzer. USA: Dolciani Mathematical Expositions, Number 23, Mathematics Association of America, 2000.

Bayer, Dave and Persi Diaconis. "Trailing the Dovetail Shuffle to its Lair," The Annals of Applied Probability, vol. 2, no. 2 (May 1992).

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

Byers, Nina. "E. Noether’s Discovery of the Deep Connection Between Symmetries and Conservation Laws." Cornell University Library. http://arxiv.org/abs/physics/9807044 (accessed 2007).

Dolan, L. "The Beacon of Kac-Moody Symmetry for Physics," Notice of the AMS, vol. 42, no. 12 (December 1995).

Fraleigh, John B. A First Course in Abstract Algebra, 6th ed. Reading, MA: Addison- Wesley Publishing Company, 1997.

Gribben, John. The Search for Superstrings, Symmetry, and the Theory of Everything. Boston, MA: Little, Brown and Company, 1998.

Gross, David J. "The Role of Symmetry in Fundamental Physics," Proceedings of the National Academy of Sciences of the United States of America, vol. 93, no. 25 (December 10, 1996).

Kostant, B. "The Graph of the Truncated Icosahedron and the Last Letter of Galois," Notice of the AMS, vol. 42, no. 9 (September 1995).

Johnston, Bernard L. and Fred Richman. Numbers and Symmetry: An Introduction to Algebra. Boca Raton, FL: CRC Press, 1997.

Lederman, Leon M. and Christopher T. Hill. Symmetry and the Beautiful Universe. Amherst, NY: Prometheus Books, 2004.

Livio, Mark. The Equation That Couldn’t Be Solved: How Mathematical Genius Discovered the Language of Symmetry. New York: Simon & Schuster, 2005.

Miller, Gerald A. "Big Break for Charge Symmetry." IOP Publishing. http://physicsweb.org/articles/world/16/6/3 (accessed 2007).

Morris, S. Brent. Magic Tricks, Card Shuffling, and Dynamic Computer Memories. Washington, DC: Mathematical Association of America, 1998.

Rockmore, Dan. Stalking the Riemann Hypothesis. New York: Vintage Books (division of Randomhouse), 2005.

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

Weyl, Hermann. Symmetry (Princeton Science Library) Princeton, NJ: Princeton University Press, 1989.

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