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Anachronisms in the History of Mathematics: Essays on the Historical Interpretation of Mathematical Texts Anachronisms in the History of Mathematics: Essays on the Historical Interpretation of Mathematical Texts, edited by Niccolò Guicciardini, Cambridge, Cambridge University Press, 2021, xxvi + 366 pp., $140 (Hardback), ISBN 978-1-108-83496-4 (review)Annals of Science 81 (3): 442-444. 2024.If anachronism is an historian's unforgivable sin, as Lucien Fèbvre told us long ago, it is nonetheless unavoidable, if only in the sense that we are constrained by our own point of view, anchored...
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Mathematics Unbound: The Evolution of an International Mathematical Research Community, 1800--1945Amer. Math. Soc., Providence, Ri. 2002.
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A Delicate Balance: Global Perspectives on Innovation and Tradition in the History of MathematicsBirkhäuser/Springer, Cham. 2015.
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Differential equations: a historical overview to circa 1900In A History of Analysis, Amer. Math. Soc., Providence, Ri. pp. 325--353. 2003.
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Mathematics in Canada before 1945: a preliminary surveyIn Archibald Thomas & Charbonneau Louis (eds.), Canadian Mathematical Society. 1945--1995, Vol. 1, Canadian Math. Soc., Ottawa, On. pp. 1--90. 1995.
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Energy and the mathematization of electrodynamics in Germany, 1845--1875Arch. Internat. Hist. Sci 39 (123): 276--307. 1989.
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Physics as a constraint on mathematical research: the case of potential theory and electrodynamicsIn The History of Modern Mathematics, Vol. Ii, Academic Press, Boston, Ma. pp. 29--75. 1989.
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Images of applied mathematics in the German mathematical communityIn Changing Images in Mathematics, Routledge, London. pp. 49--67. 2001.
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The reception of Fredholm’s results on integral equations: preliminary reportReal Anal. Exchange 29 113--136. 2005.
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Charles Hermite and German mathematics in FranceIn Mathematics Unbound: The Evolution of an International Mathematical Research Community, 1800--1945, Amer. Math. Soc., Providence, Ri. pp. 123--137. 2002.
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1Mathematics in Canada before 1945: a preliminary survey [MR1661621]In Mathematics and the Historian’s Craft, Springer, New York. pp. 141--182. 2005.
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Differential equations and algebraic transcendents: French efforts at the creation of a Galois theory of differential equations 1880--1910Rev. Histoire Math 17 (2): 373--401. 2011.
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1A mobilized community: mathematicians in the United States during the First World WarIn Archibald Thomas, Dumbaugh Della & Kent Deborah (eds.), The War of Guns and Mathematics, Amer. Math. Soc., Providence, Ri. pp. 229--271. 2014.This chapter surveys the involvement of U. S. mathematicians in the Great War, with a particular focus on Harvard, Princeton, and Chicago. The late entry of the U. S. into the war, in April 1917, was met with a very broad and rapid mobilization. Mathematicians were implicated in their professional roles in a variety of ways, and engaged in research and educational efforts in ways that displayed, and to some extent helped forge, a nationally unified community. Research came to the fore principall…Read more
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Saturn’s rings from Laplace to Poincar’eIn A Delicate Balance: Global Perspectives on Innovation and Tradition in the History of Mathematics, Birkhäuser/springer, Cham. pp. 103--124. 2015.
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Counterexamples in Weierstraß ’s workIn Karl Weierstraß, Springer Spektrum, Wiesbaden. pp. 269--285. 2016.
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9Integral equations between theory and practice: the cases of Italy and France to 1920Arch. Hist. Exact Sci 68 (5): 547--597. 2014.In 1899, Ivar Fredholm discovered how to treat an integral equation using conceptual methods from linear algebra and use these ideas to solve certain classes of boundary value problems. He formulated a theory allowing him both to unify large classes of problems and to attack several problems fruitfully. The historical literature on the theory of integral equations has concentrated largely on the unification that was afforded by Hilbert and his school, but has not throughly investigated the roots…Read more
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Priority claims and mathematical values: disputes over quaternions at the end of the nineteenth centuryMat. Medd. Danske Vid. Selsk 46 (2): 255--269. 2001.
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7The Shaping of Arithmetic after C. F. Gauss's Disquisitiones arithmeticae (review)Isis 102 368-369. 2011.
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2Sources in the development of mathematics [book review of MR2807493]Notices Amer. Math. Soc 60 (10): 1331--1333. 2013.
Burnaby, British Columbia, Canada
Areas of Specialization
Analysis |
Areas of Mathematics, Misc |
History: Philosophy of Mathematics |