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Langer, Rudoph E.

[About Fourier:] It was, no doubt, partially because of his very disregard for rigor that he was able to take conceptual steps which were inherently impossible to men of more critical genius.

In P. Davis and R. Hersh, The Mathematical Experience, Boston: Birkhauser, 1981.

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Loci: Convergence

The Magic Squares of Manuel Moschopoulos

by P. G. Brown

References

 

[1] W.S. Andrews, Magic Squares and Cubes, 1960. Dover reprint of 1917 edition.


[2] William Benson and Oswald Jacoby, New Recreations with Magic Squares, 1976. Dover  Publications.


[3] N. L. Biggs, Roots of Combinatorics, 1979 in Historia Mathematica, Vol. 6, pp. 118-136.


[4] Florian Cajori, A History of Mathematics, 1919, Macmillan (Revised Edition).


[5] Schuyler Cammann, The Evolution of Magic Squares in China, 1960, in J. American Oriental Society 80, pp. 116-124.


[6] Cheng- Yih Chen (Ed.) Science and Technology in Chinese Civilisation, 1987, Singapore, pp. 93ff.


[7] Thomas L. Heath, A History of Greek Mathematics, Vols. 1,2, 1921/1981, Oxford: Clarendon Press. New edition New York: Dover, 1981.


[8] Maurice Kraitchich, Mathematical Recreations, 1942. Dover Publications.


[9] John Calvin McCoy, Scripta Mathematica, 8, 1941, pp. 15-26.


[10] Clifford Pickover The Zen of Magic Squares, Circles and Stars, Princeton University Press, 2002.


[11] George Sarton, Introduction to the History of Science, Vols. 1-3, 1947, Baltimore.


[12] Jacques Sesiano, Les Carrés magiques de Manuel Moschopoulos, Arch. Hist. Exact Sciences 53 (1998), pp 377-397, Springer Verlag.


[13] Ihor Sevcenko, The Imprisonment of Manuel Moschopoulos in the Year 1305 or 1306, 1952, Speculum, Vol. 27, No. 2, pp. 133-157.


[14] David Eugene Smith, History of Mathematics, 1958. New York (Dover).


[15] Frank Swetz, Legacy of the Luoshu, Open Court, 2002.


[16] Paul Tannery, Le Traité de Manuel Moschopoulos sur Les Carrés Magiques, 1886. In Ann. de l'Assoc. pour l'Encouragement des Etudes Grecques, pp. 88-104.


[17] Nigel Wilson, Scholars of Byzantium, 1983, Johns Hopkins University Press, Baltimore, Maryland.


[18] Li Yan and Du Shiran Chinese Mathematics: A Concise History, 1987, Clarendon Press, Oxford.


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