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Einleitung

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Die antike Mathematik
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Zusammenfassung

Kap. 2 schildert das Aufkommen einer neuen griechischen Kultur, die zu einem Neubeginn der griechischen Zivilisation führt, die später in ganz Europa bestimmend wird. Mit dem Aufkommen der Wissenschaften entwickelt sich auch die Mathematik.

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Notes

  1. 1.

    R.L. Hayes, 6th International Congress on Mathematical Education, Budapest 1988.

  2. 2.

    O. Neugebauer: Zur geometrischen Algebra, Quellen u. Studien zur Geschichte d. Mathematik, Abt. B3,254–259.

  3. 3.

    H.G. Zeuthen: Die Lehre von den Kegelschnitten im Altertum, Kopenhagen 1886.

  4. 4.

    S. Unguru: On the Need to Rewrite the History of Greek Mathematics: Archive for the History of Exact Sciences 15 (1975), 67–114.

  5. 5.

    Andre Weil: Who Betrayed Euclid? (Extract from a letter to the Editor), Archive for the History of Exact Sciences 19 (1978), 91–93.

  6. 6.

    Unguru S.: History of Ancient Mathematics: Some Reflections on the State of Art, Isis 70 (1979), 555–565.

  7. 7.

    Rowe D.E.: New Trends and Old Images in the History of Mathematics, 1996; im Sammelband Calinger.

  8. 8.

    Bashmakova I.: A new view of the geometric algebra of the ancients, im Sammelband Bashmakova.

  9. 9.

    Grattan-Guinness I.: History or Heritage? An Important Distinction in Mathematics and for Mathematics Education, im Sammelband Van Brummelen.

  10. 10.

    Dieudonné J.: New Thinking in School Mathematics, Organization for European economic co-operation, 1961.

  11. 11.

    Høyrup J.: What is „geometric algebra“ and what has it been in historiography? AIMS Mathematics, 2(1): S. 128–160 (2017).

  12. 12.

    Freudenthal H.: What Is Algebra and What Has It Been in History? Archive for History of Exact Sciences 16, 189−200, 1977.

  13. 13.

    Rowe, D.E.: Otto Neugebauer and Richard Courant: On Exporting the Göttingen Approach to the History of Mathematics, The Mathematical Intelligencer 34:2, 29−37, 2012.

  14. 14.

    Sialaros M., Christianidis J.: Situating the Debate on „Geometrical Algebra“ within the Framework of Premodern Algebra, Science in Context 29(2), S. 129–150 (2016).

  15. 15.

    Rashed R.: Abū Kāmil. Algèbre et analyse Diophantienne, de Gruyter 2012, S. 250.

Literatur

  • Grattan-Guinness, I.: History or heritage? An important distinction in mathematics and for mathematics education. Am. Math. Mon. 111(1), 1–12 (2004) (im Sammelband Van Brummelen)

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  • Neugebauer, O.: Zur geometrischen Algebra, Quellen und Studien zur Geschichte der Mathematik, Abt. B3; Springer (1936)

    Google Scholar 

  • Rowe, D.E.: New Trends and Old Images in the History of Mathematics; im Sammelband Calinger: Vita Mathematica, MAA, Washington DC (1996)

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Correspondence to Dietmar Herrmann .

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Herrmann, D. (2020). Einleitung. In: Die antike Mathematik. Springer Spektrum, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-61395-5_1

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