Introductory Remarks

  • Volker R. Remmert
  • Martina R. SchneiderEmail author
  • Henrik Kragh Sørensen
Conference paper
Part of the Trends in the History of Science book series (TRENDSHISTORYSCIENCE)

In this volume, we show through detailed case studies, how the historiography of mathematics has been influenced by the contexts and motivations of its practitioners.1 The notion of historiography in the context of history of mathematics holds an important ambiguity: It can mean the history of mathematics or the methodology of the history of mathematics, and naturally these two are intimately related. As historians, we are situated in various discourses that shape the questions and methods involved in writing history of mathematics. Thus, in what follows, these two perspectives will frequently intersect and overlap.

Discussions about historiography of mathematics are necessarily multifaceted, and in this explorative volume, we cannot address all (or even most of) the pressing historiographical issues. Our interest lies in linking disciplinary and methodological changes in the history of mathematics to the wider cultural contexts of its practitioners, namely those doing history of...


Unguru Ancient Greek Mathematics Arithmetica Universalis Textual Turn Nineteenth Century Specialists 
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  1. Blåsjö, V. (2014). A critique of the modern consensus in the historiography of mathematics. Journal of Humanistic Mathematics, 4(2), 113–123.MathSciNetCrossRefGoogle Scholar
  2. Dauben, J. W., & Scriba, C. J. (Eds.). (2002). Writing the history of mathematics: its historical development, vol. 27 of Science Networks. Historical Studies. Basel, Boston, Berlin: Birkhäuser.Google Scholar
  3. Fried, M. N. (2014). The discipline of history and the modern consensus in the historiography of mathematics. Journal of Humanistic Mathematics, 4(2), 124–136.MathSciNetCrossRefGoogle Scholar
  4. Gray, J. (2008). Plato’s ghost: The modernist transformation of mathematics. Princeton, Oxford: Princeton University Press.zbMATHGoogle Scholar
  5. Knorr, W. R. (2001). The impact of modern mathematics on ancient mathematics. Revue d’histoire des mathématiques, 7, 121–135.MathSciNetzbMATHGoogle Scholar
  6. Kragh, H. (1987/1994). An Introduction to the historiography of science. Cambridge: Cambridge University Press.Google Scholar
  7. Mehrtens, H. (1990). Moderne Sprache Mathematik. Eine Geschichte des Streits um die Grundlagen der Disziplin und des Subjekts formaler Systeme. Frankfurt am Main: Suhrkamp Verlag.Google Scholar
  8. Rowe, D. E. (2013). Review of Jeremy Gray, ‘Plato’s Ghost: The modernist transformation of mathematics’, Princeton and Oxford: Princeton University Press, 2008. Bulletin of the American Mathematical Society, 50(3), 513–521.Google Scholar
  9. Saito, K. (1998). Mathematical reconstructions out, textual studies in: 30 years in the historiography of Greek mathematics. Revue d’histoire des mathématiques, 4(1), 131–142.Google Scholar
  10. Sørensen, H. K. (2012). Reading Mittag-Leffler’s biography of Abel as an act of mathematical self-fashioning. In B. Wardhaugh (Ed.), The history of the history of mathematics. Case studies for the seventeenth, eighteenth and nineteenth centuries (pp. 115–144). Oxford: Peter Lang.Google Scholar
  11. Stedall, J. (2012). History of mathematics. A very short introduction, (Vol. 305). Oxford: Oxford University Press.Google Scholar
  12. Unguru, S. (1975). On the need to rewrite the history of Greek mathematics. Archive for History of Exact Sciences, 15(1), 67–114.MathSciNetCrossRefzbMATHGoogle Scholar
  13. Wardhaugh, B. (2010). How to read historical mathematics. Princeton and Oxford: Princeton University Press.zbMATHGoogle Scholar
  14. Weil, A. (1978). Who betrayed Euclid? (extract from a letter to the editor). Archive for History of Exact Sciences, 19(2), 91–93.MathSciNetCrossRefzbMATHGoogle Scholar
  15. Weil, A. (1980). History of mathematics: Why and how. In O. Letho (Ed.), Proceedings of the International Congress of Mathematicians, Helsinki 1978 (vol. 1, pp. 227–236). Helsinki: Academia Scientiarum Fennica.Google Scholar

Copyright information

© Springer International Publishing Switzerland 2016

Authors and Affiliations

  • Volker R. Remmert
    • 1
  • Martina R. Schneider
    • 2
    • 3
    Email author
  • Henrik Kragh Sørensen
    • 4
  1. 1.Wissenschafts- und Technikgeschichte - Historisches Seminar, Fakultät für Geistes- und KulturwissenschaftenBergische Universität WuppertalWuppertalGermany
  2. 2.Institut für Mathematik, AG Geschichte der MathematikJohannes Gutenberg-Universität MainzMainzGermany
  3. 3.ERC-Project “Mathematical Sciences in the Ancient World” (SAW), CNRS; SPHEREParisFrance
  4. 4.Department of Science EducationUniversity of CopenhagenKøbenhavn KDenmark

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