Sur les origines de la géométrie algébrique

André Weil

Compositio Mathematica (1981)

  • Volume: 44, Issue: 1-3, page 395-406
  • ISSN: 0010-437X

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Weil, André. "Sur les origines de la géométrie algébrique." Compositio Mathematica 44.1-3 (1981): 395-406. <http://eudml.org/doc/89522>.

@article{Weil1981,
author = {Weil, André},
journal = {Compositio Mathematica},
keywords = {algebraic geometry; Diophant; Fermat; Leibniz; Joh. Bernoulli; Euler},
language = {fre},
number = {1-3},
pages = {395-406},
publisher = {Sijthoff et Noordhoff International Publishers},
title = {Sur les origines de la géométrie algébrique},
url = {http://eudml.org/doc/89522},
volume = {44},
year = {1981},
}

TY - JOUR
AU - Weil, André
TI - Sur les origines de la géométrie algébrique
JO - Compositio Mathematica
PY - 1981
PB - Sijthoff et Noordhoff International Publishers
VL - 44
IS - 1-3
SP - 395
EP - 406
LA - fre
KW - algebraic geometry; Diophant; Fermat; Leibniz; Joh. Bernoulli; Euler
UR - http://eudml.org/doc/89522
ER -

References

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  1. [1] I.G. Bashmakova: Diophante et Fermat, Rev. Hist. Sc.13 (1966) 289-306. Zbl0143.24404MR234792
  2. [2] Joh. Bernoulli: Lectiones Mathematicae de Methodo Integralium, aliisque, conscriptae in usum Ill. Marchionis Hospitalii cum Auctor Parisiis ageret Annis 1691 et 1692, in Opera Omnia, Laus. et Gen. 1742 (réimpr. Georg Olms Verlag, Hildesheim1968), t.III, 386-558. 
  3. [3] Joh. Bernoulli: Briefwechsel, Bd. I, Birkhäuser, Basel1955. 
  4. [4] Diophanti Alexandrini Arithmeticorum libri sex ... cum observationibus D.P. De Fermat...Accessit Doctrinae Analyticae Inventum Novum, collectum ex variis eiusdem D. De Fermat Epistolis, Tolosae 1670. 
  5. [5] Diophante, trad. russe par I.N. Vesselovski, réd, et comm. de I.G. Bashmakova, Moscou, Nauka1974. 
  6. [6] ENCYCLOPÉDIE ou Dictionnaire raisonné des Sciences, des Arts et des Métiers, edd. Diderot et D'Alembert, Paris et Neuchâtel, 1751- 1765, 17 vol. 
  7. [7] Euler, Opera Omnia: (a) Vollständige Anleitung zur Algebra, St Petersburg1770 = Op. vol. 11;(b) Demonstratio theorematum quorundam arithmeticorum, Op. vol. 12, pp. 38-58(c) Solutio generalis quorundam problematum Diophanteorum ..., Op. vol. 12, pp. 428-458;(d) Mém. Acad. Sc.St-Pétersbourg11 (1830), pp. 1-91 = Op. vol. 15, pp. 82-181. 
  8. [8] Fermat, Oeuvres, ed. P. Tannery et Ch. Henry, Paris1891 -1912, 4 vol. JFM23.0013.02
  9. [9] P.-H. Fuss: Correspondance Mathématique et Physique, St. Pétersbourg1843, 2 vol. (réimpr. Johnson Reprint Corp.1968). MR225627
  10. [10] C.G. Jacobi: De usu theoriae integralium ellipticorum et integralium abelianorum in analysi diophantea. J. de Crelle13 (1835) 353-355= Gesammelte Werke, vol. II, 53-55. 
  11. [11] Lagrange: Oeuvres, ed. J.A. Serret, Paris1867-1892, 14 vol. 
  12. [12] Leibniz: Math. Schriften, ed. C.I. Gerhardt; (a) vol. 13, Briefwechsel..., Halle1856;(b) vol. 111Halle1858: no. XXIV, Specimen novum Analyseos pro scientia infiniti, ..., pp. 350-361. 
  13. [13] Leibniz: Briefwechsel mit Mathematikern, ed. C.I. Gerhardt, Berlin1899, vol. I (réimpr. Georg Olms Verlag, Hildesheim1962). JFM29.0025.03
  14. [14] Newton: De resolutione Quaestionum circa numeros, in Mathematical Papers, ed. D.T. Whiteside, vol. IV, Cambridge1971. 
  15. [15] FR. Viète: Zetetica, in Opera Mathematica, ed. F. Schooten, Lugd. Bat., Elzevir1646 (réimpr. Georg Olms Verlag, Hildesheim1970), pp. 42-80. Zbl0188.30503MR265103
  16. [16] A.P. Youschkevitch, Rev. Hist. Sc.30 (1977) 338-343. 

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