Fourier transform and Ludolph van Ceulen

Miklos Vajta

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    Abstract

    The author would like to dedicate this paper to the memory of Ludolph van Ceulen (1540-1610), the famous Dutch mathematician, who spent almost his whole life to calculate the first 35 decimals of p. Now, 400 years later, the known number of digits of p exceeds 200 billion and increasing. Highly efficient and very fast converging methods have been developed in the last decades. Without the number crunching power of digital computers it would never have been possible to calculate the billions of digits of p. Amazingly, the key element in calculating the billions of digits is an efficient multiplication method. And here we can find an unexpected application from signal processing and control theory: the Fast Fourier transform (FFT). The paper presents the most efficient algorithms and describes how the Fourier transform makes fast multiplication possible.
    Original languageEnglish
    Title of host publication9th Mediterranean Conference on Control and Automation: Book of abstracts
    Place of PublicationZagreb, Croatia
    PublisherKoREMA Secretariat
    Pages186-186
    Number of pages6
    ISBN (Print)953-6037-34-3
    Publication statusPublished - 27 Jun 2001
    Event9th IEEE Mediterranean Conference on Control and Automation, MED 2001 - Hotel Excelsior, Dubrovnik, Croatia
    Duration: 27 Jun 200129 Jun 2001
    Conference number: 9

    Conference

    Conference9th IEEE Mediterranean Conference on Control and Automation, MED 2001
    Abbreviated titleMED
    CountryCroatia
    CityDubrovnik
    Period27/06/0129/06/01

    Keywords

    • Elliptic functions
    • Approximation theory
    • Fourier transform

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  • Cite this

    Vajta, M. (2001). Fourier transform and Ludolph van Ceulen. In 9th Mediterranean Conference on Control and Automation: Book of abstracts (pp. 186-186). Zagreb, Croatia: KoREMA Secretariat.