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390 BCE
Knidos, Ancient Greece
Eudoxus was first developing the very minute basics of limits and continuity by looking at magnitudes without any numbers. -
225 BCE
Istanbul (Constaninople)
Archimedes made a huge leap for what is now modern calculus. He showed the relationship between an area of a segment of a parabola and the area of a triangle with the same base and vertex and the area of a parallelogram. Then he used this relationship with an infinite series. All without measurement tools! -
Period: 390 to
Progression Of Calculus
See the "Who"s the "what"s and the "when"s of calculus -
Leipzig, Germany
Sir Gottfried Leibniz was developing his own. Unlike Newton, Leibiniz was looking at derivatives and integrals in 1646. -
University of Oxford
Sir Isaac Newton came up with the first notions of calculus in 1664 by applying algebra to infinite series. -
Basel, Switzerland
In the 1700s, Leonhard Euler was coming up with the idea for constructible functions. This later integrated with integral geometry to make up what he now know to just be integrals. -
Paris, France
Jean-le-Rond D'Alembert wrote many essays about calculus during his time but his most known is "Traité de l'équilibre et du mouvement des fluides" from 1744. This brought the concept of integration to a new level, fluids. -
Paris, Franc
Over a hundred years after Newton and Leibniz, Augustin-Louis Cauchy came up with the first reasonable formal definition of a limit and discontinuity. -
Ennigerloh, Germany
Almost another hundred years later, Karl Weirstrass came up with the final definition of a limit. -
Berlin, Germany
Johann Carl Friedrich Gauss came up with his thoughts on differential geometry and number theory which laid the ground work for Bernhard Riemann just a couple of decades later. -
University of Göttingen
At this university, Bernhard Riemann was head of the math department. His status was only heightened by the concept he brought to calculus. His idea is now called the Riemann integral and is used in modern physics and calculus.