id: 05862444
dt: j
an: 2012b.00122
au: Vakil, Ravi
ti: The mathematics of doodling.
so: Am. Math. Mon. 118, No. 2, 116-129 (2011).
py: 2011
pu: Mathematical Association of America (MAA), Washington, DC
la: EN
cc: A80
ut: doodling; geometry; invariants; measure
ci:
li: doi:10.4169/amer.math.monthly.118.02.116
ab: This article is based on the author’s 2009 first Hedrick lecture in
Portland, Oregon. It covers, in the author’s words, “beautiful
elementary problems, the triangle inequality, area with multiplicity,
winding numbers, topology, differential geometry, physics, a Hilbert
problem, work of a number of fields medalists, and current research in
algebraic and hyperbolic geometry.” Most of the material (though not
all) will be familiar to most mathematicians; but this should not stop
anybody from reading it for pleasure. More particularly, though, it
should be read by undergraduate students, as an accessible introduction
to the various subjects listed above; by graduate students, as a model
of nontechnical mathematical writing; and by rising stars in research,
as an example of what a plenary talk should be.
rv: Robert Dawson (Halifax)