section_path: History of the theory of infinite series/Development of infinite series
section_name: Development of infinite series
paragraph_text: Development of infinite series
  
  Greek mathematician Archimedes produced the first known summation of an infinite series with amethod that is still used in the area of calculus today. He used the method of exhaustion to calculate the area under the arc of a parabola with the summation of an infinite series, and gave a remarkably accurate approximation of π.
  
  Mathematicians from the Kerala school were studying infinite series c. 1350 CE.
  
  In the 17th century, James Gregory worked in the new decimal system on infinite series and published several Maclaurin series. In 1715, a general method for constructing the Taylor series for all functions for which they exist was provided by Brook Taylor. Leonhard Euler in the 18th century, developed the theory of hypergeometric series and q-series.