Euler's combinatorial mathematics

Bibliography

• The E-numbers given with references to Euler's papers are Eneström numbers. Details and facsimiles of Euler's papers can be found in the Euler archive: www.math.dartmouth.edu/∼euler
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• Biggs , N L , Lloyd , E K and Wilson , R J . 1976 . Graph theory 1736–1936 , Clarendon Press . reissued in paperback, 1998
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• Biggs , N L , Lloyd , E K and Wilson , RJ . 1995 . “ ‘The history of combinatorics’ ” . In Handbook of combinatorics , Edited by: Graham , R , Grötschel , M and Lovász , L . Elsevier Science .
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• Bose , RC , Shrikhande , SS and Parker , ET . 1960 . ‘Further results on the construction of mutually orthogonal latin squares and the falsity of Euler's conjecture’ . Canadian Journal of Mathematics 12 , : 189 – 203 .
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• Euler , L . Solutio problematis ad geometriam situs pertinentis . Commentarii academiae scientiarum Petropolitanae , 8 128 – 140 . (1736, published 1741), = Opera omnia (1), VII, 1–10 [E 53]
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• Euler , L . Introductio in analysin infinitorum , 1 1748 = Opera omnia (1); VIII (English trans John Blanton): Introduction to analysis of the infinite: book I, New York: Springer-Verlag, 1998 [E 101]
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• Euler , L . ‘Demonstratio nonnullarum insignium proprietatum quibus solida hedris planis inclusa sunt praedita’ . Novi commentarii academiae scientiarum Petropolitanae , 4 (1752/3, published 1758), 140–160 = Opera omnia (1), XXVI, 94–108 [E 231]
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• Euler , L . ‘Calcul de la probabilité dans le jeu de rencontre’ . Mémoires de l'académie des sciences de Berlin , 7 (1751, published 1753), 255–270 = Opera omnia (1), VII, 11–25 [E 201]
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• Euler , L . ‘Solution d'une question curieuse que ne paroit soumise à aucune analyse’ . Mémoires de l'académie des sciences de Berlin , 15 (1759, published 1766), 310–337 = Opera omnia (1), VII, 26–56 [E 309]
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• Euler , L . 1776 . ‘Observationes circa novum et singulare progressionum genus’ . Novi commentarii academiae scientiarum Petropolitanae , 20 : 123 – 139 . = Opera omnia (1), VII, 246–261 [E 476]
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• Euler , L . 1782 . ‘Recherches sur un nouvelle espèce de quarrés magiques’ . Verhandelingen uitgegeven door het zeeuwsch Genootschap der Wetenschappen te Vlissingen , 9 : 85 – 239 . = Opera omnia (1), VII, 291–392
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• Euler , L . 1784 . ‘De mirabilis proprietatibus unciarum, quae in evolutione binomii ad potestatem quamcunqua evecti occurrent’ . Acta academiae Petropolitanae , 5 : 74 – 111 . = Opera omnia (1), XV, 528–568 [E 575]
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• Euler , L . 1785 . ‘De insignibus proprietatibus unciarum binomii ad uncias quorumvis polynomiorum extensis’ . Acta academiae Petropolitanae , 5 : 76 – 89 . = Opera omnia (1), XV, 604–620 [E 575]
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• Euler , L . 1811 . ‘Solutio quaestionis curiosae ex doctrinae combinationum’ . Mémoires de la académie des sciences de St-Pétersbourg , 3 : 57 – 64 . = Opera omnia (1), VII, 435–440 [E 738]
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• Hardy , GH and Ramanujan , S . 1918 . Asymptotic formulae in combinatory analysis . Proceedings of the London Mathematical Society . 1918 . Vol. 17 , pp. 75 – 115 . (2)
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• Hopkins , Brian and Wilson , Robin . 2007 . “ ‘Euler's science of combinations’ ” . In Leonhard Euler: life, work and legacy , Edited by: Bradley , RE and Sandifer , CE . 395 – 408 . Elsevier .
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• Hopkins , Brian and Wilson , Robin . 2004 . The truth about Königsberg' . College mathematical journal , 35 : 198 – 207 . reprinted in R E Bradley and C E Sandifer (eds), Leonhard Euler: life, work and legacy, Elsevier, 2007, 409-420
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• Juškević , A P and Winter , E . 1965 . Leonhard Euler und Christian Goldbach: briefwachsel 1729–1764 , Akademie-Verlag .
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• Lakatos , Imre . 1976 . Proofs and refutations: the logic of mathematical discovery , Cambridge University Press .
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• Legendre , A M . 1794 . Elements de géométrie Paris
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• Sandifer , CE . 2007 . How Euler did it , Mathematical Association of America .
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• Zeiller , M . 1652 . Topographia Prussiae et Pomerelliae , Frankfurt .
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