Augustus De Morgan
De Morgan discovered relation algebra in his (1966: 208-46), first published in 1860. This algebra was extended by Charles Peirce (who admired De Morgan and met him shortly before his death), and re-exposited and further extended in vol. 3 of Ernst Schröder's Vorlesungen über die Algebra der Logik. Relation algebra proved critical to the Principia Mathematica of Bertrand Russell and Alfred North Whitehead. In turn, this algebra became the subject of much further work, starting in 1940, by Alfred Tarski and his colleagues and students at the University of California.
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Legacy
Beyond his great mathematical legacy, the headquarters of the London Mathematical Society is called De Morgan House and the student society of the Mathematics Department of University College London is called the August De Morgan Society.[1]
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Notes
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References
- De Morgan, A., 1966. Logic: On the Syllogism and Other Logical Writings. Heath, P., ed. Routledge. A useful collection of De Morgan's most important writings on logic.
- Ivor Grattan-Guinness (2000) The Search for Mathematical Roots 1870-1940. Princeton Univ. Press.
- Ten British Mathematicians of the 19th Century (PDF), by Alexander Macfarlane, available through Project Gutenberg
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External links
- O'Connor, John J. & Robertson, Edmund F., “Augustus De Morgan”, MacTutor History of Mathematics archive
- Papers of Augustus De Morgan held by Senate House Library, University of London
Work by De Morgan available online, all originally published in London:
- 1836. An Explanation of the Gnomonic Projection of the Sphere. Baldwin.
- 1837. Elements of trigonometry, and trigonometrical analysis. Taylor & Walton.
- 1837. The Elements of Algebra. Taylor & Walton.
- 1838. An Essay on Probabilities. Longman, Orme, Brown, Green &Longmans.
- 1840. The elements of arithmetic. Taylor & Walton.
- 1840. First notions of logic, preparatory to the study of geometry. Taylor & Walton.
- 1842. The Differential and Integral Calculus. Baldwin.
- 1845. The Globes, Celestial and Terrestrial. Malby & Co.
- 1847. Formal Logic or The Calculus of Inference. Taylor & Walton.
- 1849. Trigonometry and double algebra. Talyor, Walton & Malbery.
- 1860. Syllabus of a Proposed System of Logic. Walton & Malbery.
- 1872. A Budget of Paradoxes Dover, New York.
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See also
| Persondata | |
|---|---|
| NAME | De Morgan, Augustus |
| ALTERNATIVE NAMES | |
| SHORT DESCRIPTION | Indian-born British mathematician and logician |
| DATE OF BIRTH | June 27, 1806 |
| PLACE OF BIRTH | Madura, Madras Presidency, India |
| DATE OF DEATH | March 18, 1871 |
| PLACE OF DEATH | ? |
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