A Mathematical Exploration: The Method of Exhaustion and its Limitations
A mathematical technique used to find areas and perimeters by inscribing and circumscribing polygons with increasing sides, developed by ancient Greeks like Archimedes.
Calculus
A Precise Calculation: The Method of Exhaustion and Its Significance
A mathematical technique developed by Eudoxus and refined by Archimedes that enabled precise calculations of areas and volumes, anticipating integral calculus.
The Geometrical Theory of Proportion: A New Foundation for Mathematics
A detailed history of the geometrical theory of proportion, its development by Eudoxus, and its lasting impact on mathematics.