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{{distinguish2|[[Gerardus Mercator]] the cartographer.}} | |||
{{For|other persons named Mercator|Mercator (disambiguation)}} | |||
'''Nicholas''' (''Nikolaus'') '''Mercator''' (c. 1620, [[Holstein]] – 1687, [[Versailles (city)|Versailles]]), also known by his Germanic name ''Kauffmann'', was a 17th-century mathematician. | |||
He lived in the [[Netherlands]] from 1642 to 1648. He lectured at the [[University of Copenhagen]] during 1648–1654 and lived in [[Paris]] from 1655 to 1657. He was mathematics tutor to Joscelyne Percy, son of the 10th Earl of Northumberland, at Petworth, Sussex (1657). He taught mathematics in London (1658–1682). In 1666 he became a member of the [[Royal Society]]. He designed a marine chronometer for [[Charles II of England|Charles II]], and designed and constructed the fountains at the [[Palace of Versailles]] (1682–1687). | |||
Mathematically, he is most well known for his treatise ''Logarithmo-technica'' on [[logarithms]], published in 1668. In this treatise he described the [[Mercator series]], also independently discovered by [[Gregory Saint-Vincent]]: | |||
:<math>\ln(1 + x) = x - \frac{1}{2}x^2 + \frac{1}{3}x^3 - \frac{1}{4}x^4 + \cdots.</math> | |||
It was also in this treatise that the first known use of the term ''[[natural logarithm]]'' appears, in the Latin form ''log naturalis''. His use of this term is somewhat surprising, since it predates the development of [[infinitesimal calculus]], in which the most natural properties of this logarithm appear. | |||
To the field of music he contributed the first precise account of [[53 equal temperament]], which was of theoretical importance, but not widely practiced. | |||
== External references and links == | |||
* [http://www.maths.tcd.ie/pub/HistMath/People/17thCentury/RouseBall/RB_Math17C.html#NMercator Some Contemporaries of Descartes, Fermat, Pascal, and Huygens: N. Mercator] | |||
* {{MacTutor Biography|id=Mercator_Nicolaus}} | |||
* [http://mathdl.maa.org/convergence/1/?pa=content&sa=viewDocument&nodeId=1313&bodyId=1470 Nicolaus Mercator and his Ratio Theory] at [http://mathdl.maa.org/convergence/1/ Convergence] | |||
{{Persondata <!-- Metadata: see [[Wikipedia:Persondata]]. --> | |||
| NAME = Mercator, Nicholas | |||
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| DATE OF BIRTH = | |||
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| DATE OF DEATH = 1687 | |||
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}} | |||
{{DEFAULTSORT:Mercator, Nicholas}} | |||
[[Category:1620s births]] | |||
[[Category:1687 deaths]] | |||
[[Category:17th-century mathematicians]] | |||
[[Category:Music theorists]] | |||
[[Category:People from Eutin]] | |||
Latest revision as of 16:16, 1 September 2013
Template:Distinguish2 28 year-old Painting Investments Worker Truman from Regina, usually spends time with pastimes for instance interior design, property developers in new launch ec Singapore and writing. Last month just traveled to City of the Renaissance.
Nicholas (Nikolaus) Mercator (c. 1620, Holstein – 1687, Versailles), also known by his Germanic name Kauffmann, was a 17th-century mathematician.
He lived in the Netherlands from 1642 to 1648. He lectured at the University of Copenhagen during 1648–1654 and lived in Paris from 1655 to 1657. He was mathematics tutor to Joscelyne Percy, son of the 10th Earl of Northumberland, at Petworth, Sussex (1657). He taught mathematics in London (1658–1682). In 1666 he became a member of the Royal Society. He designed a marine chronometer for Charles II, and designed and constructed the fountains at the Palace of Versailles (1682–1687).
Mathematically, he is most well known for his treatise Logarithmo-technica on logarithms, published in 1668. In this treatise he described the Mercator series, also independently discovered by Gregory Saint-Vincent:
It was also in this treatise that the first known use of the term natural logarithm appears, in the Latin form log naturalis. His use of this term is somewhat surprising, since it predates the development of infinitesimal calculus, in which the most natural properties of this logarithm appear.
To the field of music he contributed the first precise account of 53 equal temperament, which was of theoretical importance, but not widely practiced.