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Sylvester’s Chemico-Algebraic Theory A Partial Anticipation of Modern Quantum Chemistry

Published online by Cambridge University Press:  03 November 2016

J S. Griffith
J S. Griffith*
Affiliation:
Department of Mathematics, Manchester College of Science and Technology
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Extract

In 1877, the English mathematician J J. Sylvester (1) announced the discovery of a rather complete formal analogy between the mathematical theory of the invariants and covariants of binary quantics and the chemical theory of valency as it then stood.

Type
Research Article
Information
The Mathematical Gazette , Volume 48 , Issue 363 , February 1964 , pp. 57 - 65
Copyright
Copyright © Mathematical Association 1964

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References

1. The collected mathematical papers of James Joseph Sylvester, Volume 3, pp. 103–4, 148–206. Cambridge University Press, 1909.Google Scholar
2. Grace, J. H. and Young, A., The algebra of invariants. Cambridge University Press, 1903.Google Scholar
3. Dirac, P. A. M., The principles of quantum mechanics, third edition, Chapter 9. Oxford University Press, 1947.Google Scholar
4. Murnaghan, F. D., The theory of group representations, Chapter 10. Baltimore: The Johns Hopkins Press, 1938.Google Scholar
5. Eyring, H., Walter, J. and Kimball, G. E., Quantum Chemistry, Chapter 12. New York: John Wiley, 1948.Google Scholar
6. Brinkman, H. C.; Applications of spinor invariants in atomic physics. North-Holland publishing Company, 1956.Google Scholar
7. Weyl, H., Philosophy of mathematics and natural science, Appendix D. Princeton University Press, 1949.Google Scholar