Below is a list of readings, from a variety of different fields, pertaining to mathematical beauty. We’ve put a star by the ones we have found particularly useful.
- (*) Aigner, M., Ziegler, G., & Hofmann, K. (2010). Proofs from THE BOOK,
- Chandrashekar, S. (1987) Truth and Beauty. Aesthetics and Motivations in
Science. Chicago: University of Chicago Press.
- Goldie, P. (2011). The Ethics of Aesthetic Bootstrapping. In The Aesthetic Mind, Schellekens & Goldie, eds. Oxford.
- Hardy, G.H. (1940). A Mathematician’s Apology. Cambridge: University Press.
- Jakobson, B. and Wickman, P.-O. (2008). The Roles of Aesthetic Experience in Elementary School Science. Research in Science Education, 38, 45-65.
- (*) Rota, G.C. (1997) Phenomenology of Mathematical Beauty. Synthese 111 (2):171-182.
- McAllister, J.W. (2005) Mathematical Beauty and the Evolution of the Standards of Mathematical Proof. M. Emmer, ed., The Visual Mind II, 15 – 34.
- Rob van Gerwin (2011). Mathematical Beauty and Perceptual Presence. Philosophical Investigations 34 (3):249-267.
- (*) Dreyfus, T., & Eisenberg, T. (1986). On the aesthetics of mathematical thought. For the Learning of Mathematics, 6(1), 2–10. (link)
- (*) Netz, R. (2005). The Aesthetics of Mathematics: A Study. In Visualization, Explanation, and Reasoning Styles in Mathematics, Mancosu, P, Jorgensen, K, and Pedersen S. (Eds), Springer. (link)
- Reber, R, Schwarz,N. and Winkleman, P. (2004). Processing Fluency and Aesthetic Pleasure: Is Beauty in the Perceiver’s Processing Experience? Personality and Social Psychology Review 8:364.
- Sartwell, Crispin, “Beauty”, The Stanford Encyclopedia of Philosophy (Fall 2012 Edition), Edward N. Zalta (ed.), URL = <http://plato.stanford.edu/archives/fall2012/entries/beauty/>.
- Scarry, E. (1998). On Beauty and Being Just. Princeton University Press.
- Sinclair, N. (2002) The Kissing Triangles: The Aesthetics of Mathematical Discovery. International Journal for Mathematical Learning. 7: 45-63. (link)
- Sinclair, N. (2004). The Roles of the Aesthetic in Mathematical Inquiry. Mathematical Thinking and Learning, 6(3), 261-284.
- (*) Tatarkiewicz, W. (1972). The Great Theory of Beauty and Its Decline. The journal of Aesthetics and Art Criticism, 31 (2), 165-180.
- (*) Tappenden, J. (2012). Fruitfulness as a Theme in the Philosophy of Mathematics. The Journal of Philosophy, 204-219.
- Todd, C. S. Unmasking the truth beneath the beauty: why the supposed aesthetic judgements made in science may not be aesthetic at all. International Studies in the Philosophy of Science. 22, 1, p. 61-79. (link)
- Tymoczko, T. (1993). Value judgements in mathematics: Can we treat mathematics
as an art? In A.M. White (Ed.), Essays in humanistic mathematics.
Washington, DC: MAA, 67-77.
What role could beauty play in school mathematics? (Can students really do this?!?)
- Griffiths, M. (2011). Where has all the beauty gone? Proceedings of the British Society for Research into Learning Mathematics, 32(2).(here)
- Sinclair, N. 2006. Mathematics and Beauty: Aesthetic Approaches to Teaching Children. New York: Teachers College Press.