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Determinants and Linear Systems: Charles L. Dodgson's View

Published online by Cambridge University Press:  05 January 2009

Francine Abeles
Francine Abeles
Affiliation:
Department of Mathematics and Computer Science, Kean College of New Jersey, Union, N.J. 07083, U.S.A.
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Notes
Information
The British Journal for the History of Science , Volume 19 , Issue 3 , November 1986 , pp. 331 - 335
Copyright
Copyright © British Society for the History of Science 1986

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References

1 Dodgson, C.L., Private Journal; unpublished, British Library, 5Google Scholar, additional manuscript 54344, folio 88.

2 Dodgson, C.L., ‘Condensation of Determinants, being a new and brief Method for computing their arithmetical values’, Proceedings of the Royal Society of London, (1867), XV, p. 153.Google Scholar

3 Dodgson, C.L., An Elementary Treatise on Determinants with their Application to Simultaneous Linear Equations and Algebraical Geometry, London, 1867, p. 25Google Scholar. Actually, Dodgson's theorem also includes a statement about the sign of the determinant. This part has been omitted.

4 Muir, T., The Theory of Determinants in the Historical Order of Development, 4 vols. London, 1920, iii, p. 17, 18, 24, 25.Google Scholar

5 Dodgson, , op. cit., folio 71.Google Scholar

6 Dodgson, , op. cit., folio 87.Google Scholar

7 Gardner, M., The Annotated Alice: Alice's Adventures in Wonderland and Through the Looking Glass. New York, 1963, pp. 181–182.Google Scholar