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The American Mathematical Monthly Volume 47, 1940 - Issue 1
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Original Articles

Higher Dimensional Determinants

Rufus OldenburgerArmour Institute of Technology and The Institute for Advanced Study
Pages 25-33 | Published online: 11 Apr 2018

References

  • A. Cayley, Journal für die reine und angewandte Mathematik (Berlin), vol. 30, 1846, pp. 1–37.
  • M. Lecat, Bibliographie de la Relativité, 1924, Brussels, appendix. M. Lecat, Coup d'Oeil Sur la Théorie des Déterminants Supérieur dans Son État Actuel, 1927, Brussels.
  • L. H. Rice, Introduction to higher determinants, Journal of Mathematics and Physics, vol. 9, 1930, pp. 47–70.
  • R. Oldenburger, Composition and rank of n-way matrices and multilinear forms, Annals of Mathematics, vol. 35, 1934, pp. 622–657.
  • R. Oldenburger, Non-singular multilinear forms and certain p-way matrix factorizations, Transactions of the American Mathematical Society, vol. 39, 1936, pp. 422–455.
  • F. L. Hitchcock, Ordered determinants with applications to polyadics, Journal of Mathematics and Physics, vol. 4, 1925, pp. 205–237.
  • Weierstrass-Günther, Zur Determinantentheorie, 1886–1887, Werke, vol. 3, pp. 271–286.
  • L. H. Rice, P-way determinants with an application to transvectants, American Journal of Mathematics, vol. 40, 1918, pp. 242–262.

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