MAT392H5 Researching Your Essay

• Mathematics in the Animal World

• S. M. Henson and J. L. Hayward, "The Mathematics of Animal Behaviour: an Interdis-
  ciplinary Dialogue", Notices of the Amer. Math. Soc. 57 no. 10 (2010), p. 1248{1258,
  and works cited.
• Symmetry in nature
• Collective behaviours (flocking, schooling, etc.)

• Mathematics in Art

• Hermann Weyl, \Symmetry", in "The World of Mathematics" (Ed.: J. R. Newman).
• Mathematics and Art", chapter in "The Princeton Companion to Mathematics" (Ed.: Gowers), and works cited.
• Huntley, "The Divine Proportion".
• "Artful Mathematics: The Heritage of M. C. Escher", Notices of the Amer. Math. Soc. 50 no. 4 (2003), p. 446-451, and works cited.

• Classical Mechanics

• Goldstein, "Classical Mechanics".
• The Feynman Lectures on Physics, Volume 1. Available online.

• Two-dimensional Crystallography ("Wallpaper Groups")

• Coxeter, "Introduction to Geometry" (2nd edition).
• Branko Grunbaum, "Tilings and patterns".
• Conway, Burgiel, and Goodman-Strauss, "The Symmetries of Things".
• Coxeter and Moser, "Generators and relations for discrete groups", 1957.

• Mathematical Finance

• Robert Almgren, "Financial derivatives and partial di erential equations", Amer. Math. Monthly 109 no. 1 (2002), p. 1-12.
• Martin Baxter and Andrew Rennie, "Financial Calculus: An Introduction to Derivative Pricing".
• Samuel A. Broverman, "Mathematics of investment and credit".

• Knot Theory

• Colin Adams, "The Knot Book".
• De Witt Sumners, "Lifting the Curtain: using topology to probe the hidden action of enzymes", Notices Amer. Math. Soc. 42 no. 5 (1995), p. 528-537, and works cited.

• Mathematics in Linguistics

• Frederic Mosteller and David L. Wallace, "Deciding authorship", in "Mathematics: People, Problems, Results" Volume III (Ed.: D. M. Campbell and J. C. Higgins), p. 164-172.
• Barbra Partee, Alice ter Meulen, an Robert E. Wall, "Mathematics methods in linguistics".
• Keith Devlin, "Patterns of Language" in \Mathematics, the Science of Patterns: the search for order in life, mind, and the universe", 1994, p.65-71.

• Mathematics in Medicine

• J.W. Cain, "Taking Math to Heart: Mathematical Challenges in Cardiac Electrophysiology", Notices Amer. Math. Soc. 58 no. 4 (2011), p. 542-549.
• J.P. Keener and J. Sneyd, "Mathematical Physiology", Springer-Verlag, New York, 1998.

• Mathematics in Music

• Article by Henri Matin in "Mathematics: People, Problems, Results" (Ed.: D. M. Campbell and J. C. Higgins), 1984.
• Catherine Nolan, "Mathematics in Music", in The Princeton Companion to Mathematics", (Ed.: Gowers), 2008.
• Article by Sir James Jeans in of "The World of Mathematics" Volume IV (Ed.: J. R. Newman).

• Origami

• David Auckly and John Cleveland, "Totally real origami and impossible paper folding", American Mathematical Monthly, 102 no. 3 (1995), p. 215-226.
• Thomas Hull, "A note on impossible paper folding", American Mathematical Monthly, 103 no. 3 (1996), p. 240-241.
• E. Demaine and J. O'Rourke, "Geometric Folding Algorithms: Linkages, Origami, Polyhedra", Cambridge, 2007.

• Population Dynamics

Prof. Wesslen has provided you a list of 24 topics. Choose a topic from her list and start your research in one of the books below. Right now all of these books (except for "Knots Unravelled" which is being purchased) are available at the UTM Library Short Term Loans / Reserves at the Library front desk: