90.198.105.102 at 15:16, 1 September 2013

2013-09-01T15:16:59Z

← Older revision		Revision as of 17:16, 1 September 2013
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	~~Hi there~~. ~~Allow me start~~ by ~~introducing~~ the ~~author~~, ~~her title is Sophia~~. ~~Office supervising is what she does~~ for ~~a residing~~. ~~Kentucky~~ is ~~exactly where I~~'~~ve always been living~~. ~~Playing badminton is a factor that~~ he ~~is totally addicted to.~~<br><br>~~Look at my homepage: clairvoyants~~, [http://www.~~light4america~~.~~com~~/~~profile~~.~~php~~?u=~~MeChattert~~ http://~~www~~.~~light4america~~.~~com~~/~~profile~~.~~php?u~~=~~MeChattert~~],		{{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
			\| ALTERNATIVE NAMES =
			\| SHORT DESCRIPTION =
			\| DATE OF BIRTH =
			\| PLACE OF BIRTH =
			\| DATE OF DEATH = 1687
			\| PLACE OF DEATH =
			}}
			{{DEFAULTSORT:Mercator, Nicholas}}
			[[Category:1620s births]]
			[[Category:1687 deaths]]
			[[Category:17th-century mathematicians]]
			[[Category:Music theorists]]
			[[Category:People from Eutin]]

en>RandomAct: Reverted edits by 59.182.38.25 (talk) to last revision by Ixfd64 (HG)

2011-08-07T05:05:02Z

Reverted edits by 59.182.38.25 (talk) to last revision by Ixfd64 (HG)

New page

Hi there. Allow me start by introducing the author, her title is Sophia. Office supervising is what she does for a residing. Kentucky is exactly where I've always been living. Playing badminton is a factor that he is totally addicted to.<br><br>Look at my homepage: clairvoyants, [http://www.light4america.com/profile.php?u=MeChattert http://www.light4america.com/profile.php?u=MeChattert],

Atmospheric focusing - Revision history

90.198.105.102 at 15:16, 1 September 2013

en>RandomAct: Reverted edits by 59.182.38.25 (talk) to last revision by Ixfd64 (HG)