
05932767
j
2012b.00687
Kupitz, Yaakov S.
Martini, Horst
Exhausting the circle  on mathematics and history of rectification.
EastWest J. Math., Spec. Vol., 177 (2010).
2010
Khon Kaen University, Faculty of Science, Department of Mathematics, Khon Kaen
EN
G30
A30
arcrectification
Archimedes' circlearea theorem
Axiom of Archimedes
bounded variation
convexity axiom
ordered field
squaring the circle
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.
Antonio M. Oller (Zaragoza)