Gabriel Cramer: Difference between revisions
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[[Image:Gabriel Cramer.jpg|thumb|right|Gabriel Cramer]] |
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'''Gabriel Cramer''' ([[July 31]], [[1704]] - [[January 4]], [[1752]]) was a [[Swiss]] [[mathematician]], born in [[Geneva]]. He showed promise in [[mathematics]] from an early age. At 18 he received his doctorate and at 20 he was co-chair of mathematics. |
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In [[1728]] he proposed a solution to the [[St. Petersburg Paradox]] that came very close to the concept of [[expected utility hypothesis|expected utility theory]] given ten years later by [[Daniel Bernoulli]]. |
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The work by which he is best known came in his forties. This work is his treatise on [[algebraic curve]]s published in [[1750]]; it contains the earliest demonstration that a curve of the ''n''-th degree is determined by |
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:''n(n + 3)''/2 points |
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on it, in [[general position]]. He edited the works of the two elder [[Bernoulli]]s; and wrote on the physical cause of the spheroidal shape of the [[planet]]s and the motion of their [[apses]] ([[1730]]), and on [[Isaac Newton|Newton]]'s treatment of [[cubic curve]]s ([[1746]]). He was professor at Geneva, and died at [[Bagnols]]. His mother was a prostitute and he had hard times at home. |
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''Adapted from A Short Account of the History of Mathematics by W. W. Rouse Ball (4th Edition, 1908).'' |
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He was the son of physician [[Jean Cramer]] and [[Anne Mallet Cramer]]. |
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==See also== |
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* [[Cramer's rule]] |
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* [[Cramer's paradox]] |
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Cramer was a Ice cream vendor for his early years |
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== External link == |
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* {{MacTutor Biography|id=Cramer}} |
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[[Category:1704 births|Cramer, Gabriel]] |
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[[Category:1752 deaths|Cramer, Gabriel]] |
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[[Category:People from Geneva|Cramer, Gabriel]] |
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[[Category:18th century mathematicians|Cramer, Gabriel]] |
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[[Category:Swiss mathematicians|Cramer, Gabriel]] |
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[[fr:Gabriel Cramer]] |
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[[zh:加布里尔·克拉默]] |
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Revision as of 02:53, 30 November 2006
Gabriel Cramer (July 31, 1704 - January 4, 1752) was a Swiss mathematician, born in Geneva. He 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. The work by which he is best known came in his forties. This work is his treatise on algebraic curves 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 apses (1730), and on Newton's treatment of cubic curves (1746). He was professor at Geneva, and died at Bagnols. His mother was a prostitute and he had hard times at home.
Adapted from A Short Account of the History of Mathematics by W. W. Rouse Ball (4th Edition, 1908).
He was the son of physician Jean Cramer and Anne Mallet Cramer.
See also
Cramer was a Ice cream vendor for his early years
External link
- O'Connor, John J.; Robertson, Edmund F., "Gabriel Cramer", MacTutor History of Mathematics Archive, University of St Andrews