"I maintain that in every special natural doctrine only so much science proper is to be met with as mathematics; for..…"

"My decision to leave applied mathematics for economics was in part tied to the widely-held popular belief in the 1960…"

"Pure mathematics consists entirely of assertions to the effect that, if such and such a proposition is true of anythi…"

"From Pythagoras to Boethius, when pure mathematics consisted of arithmetic and geometry while applied mathematics con…"

"This is as I have said in my Arithmetic:—The area of a circle is equal to the product of the circumference by one-fou…"

"Multiply the arc by the square of the arc, and take the result of repeating that [any number of times]. Divide [each …"

"The method represents a best approximation algorithm of minimal length that, owing to several minimization properties…"

"The process of reasoning called "Mathematical Induction" has had several independent origins. It has been traced back…"

"This method is supreme above all praise; it is certainly the finest thing accomplished in number theory before Lagrange."

"A sphere is a solid figure described by the revolution of a semicircle about its diameter, which remains fixed.The ax…"