Mathematics
- George Boole's work on algebraic logic, An Investigation of the Laws of Thought on Which are Founded the Mathematical Theories of Logic and Probabilities, published in London.
- Arthur Cayley states the original version of Cayley's theorem and produces the first Cayley table.
- Bernhard Riemann, a German mathematician, submits his habilitation thesis Ueber die Darstellbarkeit einer Function durch eine trigonometrische Reihe ("About the representability of a function by a trigonometric series"), in which he describes the Riemann integral. It is published by Richard Dedekind in 1867.
Read more about this topic: 1854 In Science
Famous quotes containing the word mathematics:
“Mathematics alone make us feel the limits of our intelligence. For we can always suppose in the case of an experiment that it is inexplicable because we don’t happen to have all the data. In mathematics we have all the data ... and yet we don’t understand. We always come back to the contemplation of our human wretchedness. What force is in relation to our will, the impenetrable opacity of mathematics is in relation to our intelligence.”
—Simone Weil (1909–1943)
“In mathematics he was greater
Than Tycho Brahe, or Erra Pater:
For he, by geometric scale,
Could take the size of pots of ale;
Resolve, by sines and tangents straight,
If bread and butter wanted weight;
And wisely tell what hour o’ th’ day
The clock doth strike, by algebra.”
—Samuel Butler (1612–1680)
“I must study politics and war that my sons may have liberty to study mathematics and philosophy.”
—John Adams (1735–1826)