Mania de Matematica 2 - Novos Enigmas e Desafios Matemáticos

Sugestões de leitura

CAPÍTULO 1: A sua metade é maior que a minha!

Steven Brams, Alan D. Taylor e William S. Zwicker. “Old and new moving-knife schemes”, Mathematical
Intelligencer, vol.17, n.4, 1995, p.30-5.
Steven Brams, Alan D. Taylor e William S. Zwicker. “A moving-knife solution to the four-person envy-free
cake-division problem”, Proceedings of the American Mathematical Society, vol.125, 1997, p.547-54.
Jack Robertson e William Webb. Cake Cutting Algorithms. A.K. Peters, Natick, MA, 1998.

CAPÍTULO 2: Revogando a lei das médias

William Feller. An Introduction to Probability Theory and Its Applications, vol.1. Wiley, Nova York, 1957.

CAPÍTULO 3: O laço através do espelho

David Gale. Tracking the Automatic Ant. Springer, Nova York, 1998.
John H. Halton. “The shoelace problem”, Mathematical Intelligencer, vol.17, 1995, p.36-40.

CAPÍTULO 4: Paradoxo perdido

David Borwein, Jonathan Borwein e Pierre Maréchal. “Surprise maximization”, American Mathematical
Monthly, vol.107, n.6, 2000, p.517-27.
Jules Richard. “Les principes des mathématiques et le problème des ensembles”, Revue Générale des
Sciences Pures et Appliquées (1905); trad. in J. van Heijenoort (org.), From Frege to Gödel: A Source
Book in Mathematical Logic 1879-1931, Harvard University Press, Cambridge, MA, 1967.
J. Richard. “Lettre à Monsieur le rédacteur de la Revue Générale des Sciences”, Acta Mathematica, vol.30,
1906, p.295-6.

CAPÍTULO 5: Como sardinhas redondas enlatadas

Hans Melissen. Packing and Covering with Circles. Tese de doutorado, Universidade de Utrecht, 1997.
K.J. Nurmela e P.R.J. Östergård. “Packing up to 50 circles inside a square”, Discrete Computational
Geometry, vol.18, 1997, p.111-20.
K.J. Nurmela. “Minimum-energy point charge configurations on a circular disk”, Journal of Physics A, vol.31,
1998, p.1.035-47.

CAPÍTULO 6: Xadrez interminável

Paul R. Halmos. “Problems for mathematicians young and old”, Dolciani Mathematical Expositions 12,
Mathematical Association of America, Washington, DC, 1991.

CAPÍTULO 8: Provas de conhecimento zero

Neal Koblitz. A Course in Number Theory and Cryptography. Springer, Nova York, 1994.

CAPÍTULO 9: Impérios na Lua