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The acoustic origins of harmonic analysis

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Abbreviations

AHES :

Archive for the history of exact sciences

BJHS :

British journal for the history of science

CAP :

Academia Scientiarum Imperialis Petropolitana, Commentarii

EOm:n:

Leonhard Euler, Opera omnia (Leipzig, 1911 on), series m, vol. n

FOn:

Joseph Fourier, Oeuvres, 2 vols. (1888–1890), vol. n

HAB :

Académie Royale des Sciences et des Belles-Lettres de Berlin, Histoire

HAS :

Académie Royale des Sciences, Histoire

JEP :

Journal de l’Ecole Polytechnique

LOn:

Joseph Louis Lagrange, Oeuvres, 14 vols. (Paris, 1867–1892), vol. n

MAS :

Académie (Royale) des Sciences, Mémoires

MT :

Miscellanea Taurinensia

NCAP :

Academia Scientiarum Imperialis Petropolitana, Novi commentarii

 :

Anachronistic notation is used for sums and integrals (Lagrange was first to systematically use the ∑ notations for discrete sums, and Fourier the first to indicate the limits of summation or integration in the modern way).

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Authors and Affiliations

  1. CNRS: Rehseis, 83 rue Broca, 75013, Paris, France

    Olivier Darrigol

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  1. Olivier Darrigol
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Correspondence to Olivier Darrigol.

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Communicated by J.Z. Buchwald.

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Darrigol, O. The acoustic origins of harmonic analysis. Arch. Hist. Exact Sci. 61, 343–424 (2007). https://doi.org/10.1007/s00407-007-0003-9

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  • DOI: https://doi.org/10.1007/s00407-007-0003-9

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