id: 05932767
dt: j
an: 2012b.00687
au: Kupitz, Yaakov S.; Martini, Horst
ti: Exhausting the circle â€’ on mathematics and history of rectification.
so: East-West J. Math., Spec. Vol., 1-77 (2010).
py: 2010
pu: Khon Kaen University, Faculty of Science, Department of Mathematics, Khon
Kaen
la: EN
cc: G30 A30
ut: arc-rectification; Archimedesâ€™ circle-area theorem; Axiom of Archimedes;
bounded variation; convexity axiom; ordered field; squaring the circle
ci:
li:
ab: This is a very interesting article on the history of the formulae for the
perimeter and the area of a circle. Many interesting observations are
made and lots of historical and rigorous references are given. The text
is worth reading both by undergraduate and graduate students willing to
overview the evolution of these mathematical concepts through history.
rv: Antonio M. Oller (Zaragoza)