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Original Articles

“Shutting up like a telescope”: Lewis Carroll's “Curious” Condensation Method for Evaluating Determinants

Pages 85-95 | Published online: 28 Nov 2017

References

  • F. F. Abeles, Determinants and Linear Systems: Charles L. Dodgson's View, British Journal for the History of Science 19 (1986) 331–335.
  • F. F. Abeles, ed., The Mathematical Pamphlets of Charles Lutwidge Dodgson and related pieces, Lewis Carroll Society of North America, 1994.
  • F. F. Abeles, ed., The Political Pamphlets and Letters of Charles Lutwidge Dodgson and related pieces: A Mathematical Approach, Lewis Carroll Society of North America, 2001.
  • R. Baltzer, Theorie und Anwendung der Determinanten, Leipzig, 1857. French translation by J. Houel, Paris, 1861. Second edition, Leipzig, 1864.
  • W. W. Bartley, Lewis Carroll's lost book on logic, Scientific American 227 (1) (1972) 39–46.
  • D. M. Bressoud, Proofs and Confirmations: The Story of the Alternating Sign Matrix Conjecture, MAA, 1999.
  • C. L. Dodgson, Condensation of Determinants, being a new and brief method for computing their arithmetical values, Proceedings of the Royal Society of London 15 (1866) 150–155.
  • C. L. Dodgson, An Elementary Treatise on Determinants with their application to simultaneous linear equations and algebraical geometry, Macmillan, 1867.
  • D. Hudson, Lewis Carroll. An Illustrated Biography, Constable, 1976.
  • C. Jacobi, De binis quibuslibet functionibus homogeneis secundi ordinis per substitutiones lineares in alias binas transformandis, quae solis quadratis variabilium constant; una cum variis theorematis de transformatione et determinatione integralium multiplicium, Journal für die reine und angewandte Mathematik 12 (1833) 1–69.
  • C. Jacobi, De eliminatione variabilis e duabus aequationibus algebraicis, Journal für die reine und angewandte Mathematik 15 (1835) 101–124.
  • C. Jacobi, De formatione et proprietatibus Determinantium, Journal für die reine und angewandte Mathematik 22 (1841) 285–318.
  • C. Jacobi, De determinantibus functionalibus, Journal für die reine und angewandte Mathematik 22 (1841) 319–359.
  • C. Jacobi, De functionibus alternantibus earumque divisione per productum e differentiis elementorum conflatum, Journal für die reine und angewandte Mathematik 22 (1841) 360–371.
  • P.-S. Laplace, Recherches sur le calcul intégral et sur le système du monde, Histoire de l'Académie Royale des Sciences, 2e partie, (1772) pp. 267–376.
  • T. Muir, The Theory of Determinants in the Historical Order of Development, 4 vols., Macmillan, 1906-1923.
  • W. Spottiswoode, Elementary Theorems relating to Determinants, Macmillan, 1851.
  • H. W. Turnbull, The Theory of Determinants, Matrices, and Invariants, 3rd ed., Dover, 1960.
  • R. J. Wilson, Alice in Numberland: An Informal Dramatic Presentation, College Math. J. 33 (2002) 354–377.

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