Biography
Cramer showed promise in mathematics from an early age. At 18 he received his doctorate and at 20 he was co-chair of mathematics. In 1728 he proposed a solution to the St. Petersburg Paradox that came very close to the concept of expected utility theory given ten years later by Daniel Bernoulli. He published his best-known work in his forties. This was his treatise on algebraic curves, "Introduction à l'analyse des lignes courbes algébriques", published in 1750. It contains the earliest demonstration that a curve of the n-th degree is determined by
- n(n + 3)/2 points
on it, in general position. He edited the works of the two elder Bernoullis; and wrote on the physical cause of the spheroidal shape of the planets and the motion of their apsides (1730), and on Newton's treatment of cubic curves (1746). He was a professor at Geneva, and died at Bagnols-sur-Cèze. He did extensive travel throughout Europe in the late 1730s, which greatly influenced his works in mathematics.
Read more about this topic: Gabriel Cramer
Famous quotes containing the word biography:
“Just how difficult it is to write biography can be reckoned by anybody who sits down and considers just how many people know the real truth about his or her love affairs.”
—Rebecca West [Cicily Isabel Fairfield] (1892–1983)
“The death of Irving, which at any other time would have attracted universal attention, having occurred while these things were transpiring, went almost unobserved. I shall have to read of it in the biography of authors.”
—Henry David Thoreau (1817–1862)
“A great biography should, like the close of a great drama, leave behind it a feeling of serenity. We collect into a small bunch the flowers, the few flowers, which brought sweetness into a life, and present it as an offering to an accomplished destiny. It is the dying refrain of a completed song, the final verse of a finished poem.”
—André Maurois (1885–1967)