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Augustus De Morgan
45
1836. An Explanation of the Gnomonic Projection of the Sphere.
1837. Elements of Trigonometry, and Trigonometrical Analysis.
1837. The Elements of Algebra.
1838. An Essay on Probabilities.
1840. The Elements of Arithmetic.
1840. First Notions of Logic, Preparatory to the Study of Geometry.
1842. The Differential and Integral Calculus.
1845. The Globes, Celestial and Terrestrial.
1847. Formal Logic or The Calculus of Inference.
1849. Trigonometry and Double Algebra.
1860. Syllabus of a Proposed System of Logic.
1872. A Budget of Paradoxes.
The negation of a conjunction is the disjunction of the negations.
The negation of a disjunction is the conjunction of the negations.
Education Occupations and Works
- De Morgan is the original mathematics professor for London University(now known as University College London).
- He left his chair of being head of mathematics because of a dispute, but a few years later he was invited back. In which, he stayed for 30 more years.
- De Morgan was a great writer and wrote many books.
Mathematical Contributions and Applications
Society of the Times
- During this time England and the Church of England were both very powerful.
- In order to receive a Master of Arts at Cambridge or Oxford, you needed to pass their rigorous theological tests.
- De Morgan discovered the DeMorgan's Laws.
- We would see truth tables using DeMorgan's Laws in Boolean Algebra.
- In 1838 he introduced and defined the term mathematical induction.
- He also made a useful contribution for proposing the use of solidus (oblique stroke) for the printing of fractions.
Life
Interesting Stories and Facts
- Later in De Morgan's life he became interested in Spiritualism.(Spirits of the dead are able to communicate with the living.)
- The headquarters of the London Mathematical Society is called De Morgan House.
- The student society of the Mathematics Department of University College London is called the August De Morgan Society.
- The crater De Morgan on the Moon is named after him.
- De Morgan was born June 27 1806 in Madurai, India.
- De Morgan became blind a month of two after he was born.
- De Morgan at the age of fourteen drew a figure of Euclid with rulers and compasses.
- At 16, he entered Trinity College, Cambridge. He received a Bachelor of Arts but was unable to receive Master of Arts because he had a strong objection for taking the required theological test.
- He was apart of the founding of London University and was appointed head professor of mathematics at the age of 22.
- De Morgan married Sophia Elizabeth and had 3 sons and 4 daughters.
- De Morgan died March 18 1871 from Nervous Prostration.