Mathematics goes ballistic: Benjamin Robins, Leonhard Euler, and the mathematical education of military engineers

Bibliography

• Alder , Kenneth . 1997 . Engineering the revolution: arms and enlightenment in France, 1763–1815 , Princeton University Press .
   Google Scholar
• Alder , Kenneth . 1999 . “ French engineers become professional; or, how meritocracy made knowledge objective ” . In The sciences in enlightened Europe , Edited by: Clark , W . 95 – 125 . University of Chicago Press .
   Google Scholar
• Booß , B and Høyrup , Jens . 1994 (originally published 1984) . “ ‘On mathematics and war: an essay on the implications, past and present, of the military envolvement of the mathematical sciences for their development and potentials’ (trans by Jens Høyrup), in Jens Høyrup ” . In Measure, number, and weight: studies in mathematics and culture , 225 – 278 . State University of New York Press .
   Google Scholar
• Booß , B and Høyrup , Jens . 2003 . Mathematics and war: an invitation to revisit . The Mathematical Intelligencer , 25/3 : 12 – 25 .
   Web of Science ®Google Scholar
• Booß , B and Høyrup , Jens (eds) . 2003 . Mathematics and war , Birkhauser Verlag .
   Google Scholar
• Boyer , Carl . 1949 . The history of the calculus and its conceptual development , Dover Publications .
   Google Scholar
• Briggs , J M . 1975 . “ Robins Benjamin ” . In Dictionary of scientific biography , Vol. XI , 493 – 494 . Charles Scribner and sons .
   Google Scholar
• Brown , Hugh . 1777 . The true principles of gunnery, English translation of Euler's Neue Grundsätze London
   Google Scholar
• Büttner , J . 2003 . “ The challenging images of artillery: practical knowledge at the roots of the scientific revolution ” . In The power of images in early modern science , Edited by: Lefevre , W . 3 – 27 . Birkhauser Verlag .
   Google Scholar
• D'Ambrosio , Ubitran . 1998 . Mathematics and peace: our responsibilities . Analyses ZDM , 98/3 : 67 – 73 .
   Google Scholar
• D'Ambrosio , Ubitran . 2001 . Mathematics and peace: a reflection on the basis of western civilization . Leonard , 34 : 327 – 332 .
   Web of Science ®Google Scholar
• D'Arcy , Patrick . 1751 . Mémoire sur la théorie de l'artillerie . Mémoires des mathématiques et de physique de l'Académie Royale des Sciences , : 45 – 63 .
   Google Scholar
• Euler , Leonhard . 1922 . “ Meditatio in experimenta explosione tormentorum nuper institua ” . In Opera omnia Vol. Second Series XIV , 468 – 477 . Berlin originally published in 1727
   Google Scholar
• Euler , Leonhard . 1922 . “ Neue Grundsätze der Artillerie aus dem Englischen des Herrn Benjamin Robins übersetzt und mit vielen anmerkungen ” . In Opera omnia Vol. Second Series XIV , 1 – 409 . Berlin originally published in 1745
   Google Scholar
• Euler , Leonhard . 1922 . “ Recherches sur la veritable courbe que decrivent les corps jettés dans l'air ou dans un autre fluide queloconconque ” . In Opera omnia Vol. Second Series XIV , 413 – 447 . Berlin originally published in 1753
   Google Scholar
• Hall , A Rupert . 1969a . “ Science, technology and warfare, 1400–1700 ” . In Science, technology, and warfare: proceedings of the Third Military History Symposium, United States Air Force Academy , 3 – 24 . US Government Printing Office .
   Google Scholar
• Hall , A Rupert . 1969b . Ballistics in the seventeenth century: a study in the relations of science and war with reference principally to England , Harper & Row .
   Google Scholar
• Hall , A Rupert . 1983 . “ Gunnery, science, and the Royal Society ” . In The uses of science in the age of Newton , Edited by: Burke , J . 111 – 141 . University of California Press .
   Google Scholar
• Johnson , William . 1990 . The origin of the ballistic pendulum: the claims of Jacques Cassini (1677–1756) and Benjamin Robins (1707–1751) . International Journal of Mechanical Sciences , 32 : 345 – 374 .
   Web of Science ®Google Scholar
• Johnson , William . 1991 . In search of the end of the life, in India of Benjamin Robins, F.R.S . International Journal of Impact Engineering , 11 : 547 – 571 .
   Web of Science ®Google Scholar
• Johnson , William . 1992a . Benjamin Robins, F.R.S. (1707–1751): new details of his life . Notes and Records of the Royal Society of London , 46 : 235 – 252 .
   Google Scholar
• Johnson , William . 1992b . Encounters between Robins, and Euler and the Bernoullis: artillery and related subjects . International Journal of Mechanical Sciences , 34 : 651 – 679 .
   Web of Science ®Google Scholar
• Johnson , William . 1992c . Benjamin Robins (18th century founder of scientific ballistics): some European dimensions and past and future perceptions . International Journal of Impact Engineering , 12 : 293 – 323 .
   Web of Science ®Google Scholar
• Johnson , William . 1994 . Benjamin Robins during 1739–1742: “Called to a Publick Employment … A Very Honorable Post” . Notes and Records of the Royal Society of London , 48 : 31 – 42 .
   Google Scholar
• Johnson , William . 2000 . Short unpublished manuscripts of Benjamin Robins . International Journal of Impact Engineering , 41 : 741 – 748 .
   Google Scholar
• Merton , Robert . 1970 . Science, technology and society in seventeenth century England , Harper & Row .
   Google Scholar
• Robins , Benjamin . 1739 . Remarks on Mr. Euler's Treatise of motion, Dr. Smith's Compleat system of opticks, and Dr. Jurin's Essay upon distinct and indistinct vision London
   Google Scholar
• Santbech, Daniel, Problematum astronomicorum et geometricorum sectiones septem, Basel, 1561
   Google Scholar
• Schemmel , Matthias . 2008 . The English Galileo: Thomas Harriot's work on motion as an example of preclassical mechanics , 2 vols , Springer .
   Google Scholar
• Sengupta , T and Talla , S . 2004 . Robins–Magnus effect: a continuing saga . Current Science , 86 : 1033 – 1036 .
   Web of Science ®Google Scholar
• Shulman , Bonnie . 2002 . Is there enough poison gas to kill the city? The teaching of ethics in mathematics classes . The College Mathematics Journal , 33 : 118 – 125 .
   Google Scholar
• Shulman, Bonnie, ‘What's math got to do with it? How to talk about war and peace in a mathematics classroom’, paper presented at National bookerence on Empowering Teachers in Times of War, San Francisco, December 2002
   Google Scholar
• Smith , D . 1959 . A source book in mathematics , Dover Publications .
   Google Scholar
• Steele , Brett . 1994 . “ The ballistics revolution: military and scientific change from Robins to Napoleon ” . In PhD Thesis , University of Minnesota .
   Google Scholar
• Steele , Brett . 2005 . “ Military ‘progress’ and Newtonian science in the age of Enlightenment ” . In The heirs of Archimedes: science and the art of war through the Age of Enlightenment , Edited by: Steele , Brett and Dorland , T . 361 – 390 . MIT Press .
   Google Scholar
• Steele , Brett . 2006 . “ Leonhard Euler's interior ballistics analysis and its influence on both military and engineering thinking in the late eighteenth century ” . In Gunpowder, explosives, and the state: a technological history , Edited by: Buchanan , B . 281 – 302 . Ashgate .
   Google Scholar
• Swetz , Frank . 1995 . “ An historical example of mathematical modeling: the trajectory of a cannonball ” . In Learn from the masters , Edited by: Swetz , F . 93 – 101 . Mathematical Association of America .
   Google Scholar
• Tartaglia, Niccolò, La nova scientia, Florence, 1558
   Google Scholar
• Truesdell , C . 1984 . “ Genius turns establishment to profit: Euler ” . In An idiot fugitive essays on science: methods, criticism, training and circumstances , Edited by: Truesdell , C . Springer-Verlag .
   Google Scholar