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The Ramanujan series provided a breakthrough in calculating pi to more decimal places from "summary" of A History of [pi] (pi) by Petr Beckmann

The Ramanujan series, named after the Indian mathematician Srinivasa Ramanujan, played a crucial role in the advancement of the calculation of pi to a higher degree of precision. Ramanujan, known for his remarkable contributions to the field of mathematics, provided a series that allowed mathematicians to calculate pi with greater accuracy than ever before. This series was a breakthrough in the quest to determine the value of pi to more decimal places, pushing the boundaries of mathematical knowledge. By utilizing the Ramanujan series, mathematicians were able to make significant progress in the calculation of pi, enabling them to uncover more digits of this irrational number. The series offered a new method that proved to be highly effective in achieving more accurate approximations of pi, leading to a deeper understanding of this fundamental mathematical constant. With the use of the Ramanujan series, mathematicians were able to extend the known digits of pi beyond previous limitations, expanding the scope of mathematical exploration. The groundbreaking nature of the Ramanujan series lies in its ability to provide a more efficient and precise way to calculate pi, offering a pathway to unlocking further insights into the nature of this transcendental number. This series represented a significant advancement in the field of mathematics, paving the way for continued exploration and discovery in the realm of pi. The impact of the Ramanujan series on the quest for more decimal places of pi cannot be overstated, as it marked a turning point in the ongoing pursuit of greater accuracy and precision in mathematical calculations.
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    A History of [pi] (pi)

    Petr Beckmann

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