"The mathematical genius can only carry on from the point which mathematical knowledge within his culture has already …"

"If the Greeks had had a mind to reduce mathematics to one field... their only choice would have been to reduce arithm…"

"The evolution of number into the 'transfinite' was included only to emphasize the power of the forces acting within m…"

"The authors hope by publishing this work to demonstrate that the Arabs were not only transmitters of other cultures, …"

"The Greeks studied the conic sections from a purely geometric point of view. But the invention of in the seventeenth …"

"In England, where it originated, the calculus fared less well. ...by siding completely with Newton in the priority di…"

"The field of mathematics is now so extensive that no one can [any] longer pretend to cover it, least of all the speci…"

"Those people who do mathematics—the 'mathematicians'—are not only the possessors of the cultural element known as mat…"

"The excellent work of Tropfke is an example of the tendency to break away from the mere chronological recital of facts."

"Plato denied explicitly the existence of fractional numbers: the numerical unit had no parts and could not be divided…"