“Anti-aircraft guns all day long”: Karl Pearson and computing for the Ministry of Munitions
[“Anti-aircraft guns all day long” : Karl Pearson et l'informatique au Ministère des munition]
Revue d'histoire des mathématiques, Tome 21 (2015) no. 1, pp. 111-150

In December 1916 Pearson offered the services of his staff from the Drapers' Biometric Laboratory and the Galton Eugenics Laboratory at University College London, to the Ministry of Munitions. The offer was accepted with alacrity by A.V. Hill, head of the Anti-Aircraft Experimental Section, who was eager to liberate his own men from the labours of computation. From January 1917 until March 1918 Pearson worked tirelessly on the often tedious work of computing of ballistic charts, high-angle range tables and fuze-scales. He also made significant contributions to the mathematical theory behind the tables. Pearson's staff consisted of mathematicians, computers and draughtsmen. Women were an important constituent of his work force, not least because the escalating demands of conscription meant that the men were often at risk from the recruiting sergeants. Things did not always go smoothly—Pearson did not take kindly to the calculations of his staff being questioned by the mathematicians producing the data—and Hill sometimes had to work hard to keep the peace.

Au mois de décembre 2016, Karl Pearson offrit au Ministère des munitions les services de son personnel du Drapers' Biometric Laboratory et du Galton Eugenics Laboratory, à University College London. L'offre fut très vite acceptée par le chef de la Section expérimentale antiaérienne, A.V. Hill, pressé de libérer sa propre équipe du travail de calcul. De janvier 1917 à mars 1918, Pearson travailla infatigablement au calcul souvent ingrat des tableaux balistiques, des tables de tir à angle élevé, et des étalonnages de fusée. Il apporta aussi des contributions significatives à la théorie mathématique sur laquelle les tables se fondaient. L'équipe de Pearson incluait des mathématiciens, des calculateurs et des dessinateurs. Les femmes en formaient un contingent important, en particulier parce que les demandes de plus en plus grandes de la conscription rendaient les hommes vulnérables aux sergents-recruteurs. Les obstacles ne manquèrent pas — Pearson n'appréciant pas que les calculs de son équipe soient remis en question par les mathématiciens produisant les données — et Hill eut parfois du mal à maintenir la paix.

Publié le :
DOI : 10.24033/rhm.186
Classification : 01A60
Keywords: Karl Pearson, first world war, exterior ballistics, anti-aircraft gunnery.
Mots-clés : Karl Pearson, première guerre mondiale, balistique extérieure, artillerie anti-aérienne.
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Barrow-Green, June. “Anti-aircraft guns all day long”: Karl Pearson and computing for the Ministry of Munitions. Revue d'histoire des mathématiques, Tome 21 (2015) no. 1, pp. 111-150. doi: 10.24033/rhm.186

Adams, John Couch On certain approximate formulae for calculating the trajectories of shot, Proceedings of the Royal Society, Volume 26 (1877), pp. 286-287

Adams, John Couch On certain approximate formulae for calculating the trajectories of shot, Nature, Volume 42 (1890), pp. 258-262 | JFM | DOI

Aubin, David “I'm Just a Mathematician”: Why and How Mathematicians Collaborated with Military Ballisticians at Gâvre, The War of Guns and Mathematics (Aubin, David; Goldstein, Catherine, eds.), Amer. Math. Soc., Providence (2014), pp. 307-349 | MR | DOI

The War of Guns and Mathematics (Aubin, David; Goldstein, Catherine, eds.), Amer. Math. Soc., Providence, 2014 | MR | Zbl | DOI

Barrow-Green, June Cambridge Mathematicians' Responses to the First World War, The War of Guns and Mathematics (Aubin, David; Goldstein, Catherine, eds.), Amer. Math. Soc., Providence (2014), pp. 59-124 | MR | Zbl

Charbonnier, Prosper-Jules Sur l'état actuel de la balistique extérieure théorique, Proceedings of the International Mathematical Congress Held in Toronto, August 11–16 (Fields, John Charles, ed.), Volume 2 (1928), pp. 571-594

Edwards, Anthony W. F. R. A. Fisher on Karl Pearson, Notes and Records of the Royal Society of London, Volume 48 (1994), pp. 97-106

Gluchoff, Alan Pure Mathematics Applied in Early Twentieth-Century America: The Case of T. H. Gronwall, consulting mathematician, Historia Mathematica, Volume 32 (2005), pp. 312-357

Gluchoff, Alan Artillerymen and Mathematicians: Forest Ray Moulton and Changes in American Exterior Ballistics, 1885–1934, Historia Mathematica, Volume 38 (2011), pp. 506-547 | MR | Zbl | DOI

Grier, David Dr. Veblen Takes a Uniform in the First World War, American Mathematical Monthly, Volume 108 (2001), pp. 922-931 | MR | Zbl | DOI

Haldane, John Burdon Sanderson Karl Pearson, 1857–1957, Biometrika, Volume 44 (1957), pp. 303-313 | MR | Zbl | DOI

Hardy, Godfrey Harold A Mathematician's Apology, Cambridge Univ. Press, Cambridge, 1967 (with a foreword by C. P. Snow)

Hazelhurst, Cameron Introduction, History of Ministry of Munitions, British Library Microfiche, London (1919–1922) (12 vols)

Hill, Archibald Vivian The Ethical Dilemma of Science, 1, The Rockefeller Institute Press, New York, 1960

Hill, Archibald Vivian Memories and Reflections, 1, Churchill College (privately printed), Cambridge, 1970

Hogg, Ian V. Anti-Aircraft Attack. A History of Air Defence, Macdonald and Jane's, London, 1978

Littlewood, John Edensor I. Formulae for Direct Fire. II. Anti-Aircraft Trajectories and Range Tables, War Office, London, 1917

Littlewood, John Edensor Adventures in Ballistics 1915–1918, I, Mathematical Spectrum, Volume 4 (1971) no. 1, pp. 31-38

Littlewood, John Edensor Adventures in Ballistics 1915–1918, II, Mathematical Spectrum, Volume 4 (1972) no. 2, pp. 80-86

Lloyd, Christopher The Origins of HMS Excellent, The Mariner's Mirror, Volume 41 (1955), pp. 193-197 | DOI

Love, Rosaleen `Alice in Eugenics-Land': Feminism in the scientific careers of Alice Lee and Ethel Elderton, Annals of Science, Volume 36 (1979), pp. 145-158 | DOI

Magnello, M. Eileen Karl Pearson : evolutionary biology and the emergence of a modern theory of statistics (1884–1936), Ph. D. Thesis , University of Oxford (1994)

Magnello, M. Eileen Karl Pearson's mathematization of inheritance: from ancestral heredity to Mendelian genetics (1895–1909), Annals of Science, Volume 55 (1998), pp. 35-94 | MR | Zbl | DOI

Magnello, M. Eileen The non-correlation of biometrics and eugenics: rival forms of laboratory work in Karl Pearson's career at University College London, I and II, History of Science, Volume 37 (1999)

Magnello, M. Eileen Karl Pearson and the Establishment of Mathematical Statistics, International Statistical Review. Papers Honouring Karl Pearson (1857–1936), Volume 77 (2009), pp. 3-29 | Zbl

Massey, Harrie S. W. Lesley John Comrie. 1893–1950, Obituary Notices of Fellows of the Royal Society, Volume 8 (1952), pp. 96-107 | MR | DOI

Milne, Edward A.; White, Francis Puryer H. W. Richmond, Obituary Notices of Fellows of the Royal Society, Volume 6 (1948), pp. 219-230

Nastasi, Pietro; Tazzioli, Rossana Italian Mathematicians and the First World War: Intellectual Debates and Institutional Innovations, The War of Guns and Mathematics (Aubin, David; Goldstein, Catherine, eds.), Amer. Math. Soc., Providence (2014), pp. 181-227 | MR | Zbl

Pattison, Michael Scientists, Inventors and the Military in Britain, 1915–19: The Munitions Inventions Department, Social Studies of Science, Volume 13 (1983), pp. 521-568

Pearson, Egon S. Karl Pearson. An Appreciation of Some Aspects of His Life and Work, Cambridge Univ. Press, Cambridge, 1938 | Zbl

Pearson, Karl Calculating Machines, Nature, Volume 77 (1917), pp. 384-385 | DOI

Porter, Theodore M. Karl Pearson: The Scientific Life in a Statistical Age, Princeton Univ. Press, Princeton, 2004 | MR

Porter, Theodore M. Pearson, Karl (1857–1936), Complete Dictionary of Scientific Biography, Volume 24, Charles Scribner's Sons, Detroit (1970–1990), pp. 52-56

Proudman, Joseph Arthur Thomas Doodson. 1890–1968, Biographical Memoirs of Fellows of the Royal Society, Volume 14 (1968), pp. 189-205

Text Book of Anti-Aircraft Gunnery (Richmond, Herbert William, ed.), HMSO, London, 1924–1925 (2 vols)

Siacci, Francesco Balistique extérieure, Berger-Levrault, Paris & Nancy, 1892 (traduction annotée par P. Laurent)

Sheynin, Oscar Gauss and Geodetic Observations, Archive for History of Exact Sciences, Volume 46 (1994), pp. 253-283

Weston-Smith, Meg E. A. Milne and the creation of air defence: some letters from an unprincipled brigand, 1916–1919, Notes and Records of the Royal Society of London, Volume 44 (1990), pp. 241-255

Yule, G. Udny; Filon, Louis N. G. Karl Pearson. 1857–1936, Obituary Notices of Fellows of the Royal Society, Volume 2 (1936), pp. 72-110 | DOI

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