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Topic: Caspar Wessel

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	Caspar Wessel - Norges første matematiker / Nr. 2/2000 / Redaksjonsarkiv / Innhold / Fagbladet / NIFU STEP (Site not responding. Last check: 2007-10-24)
		Caspar Wessel deltok i oppmålingene, om vinteren kontrollberegnet han målingene og tegnet sammen resultatene fra alle landmålerne.
		Wessels dyktighet og arbeidsiver gjorde at han snart vant Oeders anerkjennelse og vennskap.
		I dag finnes det en plakett i Slottsparken i Oldenburg til minne om landmåleren Caspar Wessel.
	fagbladet.nifustep.no /fagbladet/innhold/redaksjonsarkiv/nr_2_2000/caspar_wessel_norges_f_rste_matematiker (1183 words)

	Jørgen Ebert: Kronik om Caspar Wessel
		Alligevel formåede den dansk-norske landmåler Caspar Wessel, 1745-1818, at trække udviklingen et vigtigt skridt videre og dermed sætte det sidste punktum i tallenes udviklingshistorie.
		For overhovedet at overleve, måtte Caspar Wessel, lige som nutidens unge, søge arbejde ved siden af studierne.
		Denne erkendelse af tallenes utilstrækkelighed gav Caspar Wessel ideen til at udvide den almindelige opfattelse af talbegrebet.
	www.ugle.dk /kronik_wessel.html (2246 words)

	Caspar Wessel
		Caspar Wessel, (1745 - 1818) Norwegian-Danish mathematician, born in Jonsrud, Vestby, Akershus, Norway.
		Wessel's priority to the idea of a complex number as a point in the complex plane is today universally recognised.
		Caspar Wessel's elder brother, Johan Herman Wessel was a major name in Norwegian and Danish literature.
	www.ebroadcast.com.au /lookup/encyclopedia/ca/Caspar_Wessel.html (174 words)

	Caspar Wessel - {{ᏏᏖᎾᎺ}} (Site not responding. Last check: 2007-10-24)
		Wessel ᏥᏄᏍᏛᎩ ᎤᏕᏅ ᎭᏫᎾᏗᏢ Jonsrud, Vestby, Akershus, Norway.
		Wessel ᎤᏤᎵ ᏭᎵᏍᎨᏗᏴ ᎯᎠ ᎠᏓᏅᏖᏗ ᏂᎦᏛ ᏎᏍᏗ ᏥᏄᏍᏗ ᎪᏍᏓᏱ ᎭᏫᎾᏗᏢ ᎯᎠ ᏂᎦᏛ ᎦᏃᎯᎵᏙ ᎨᏒᎢ ᎪᎯ ᎢᎦ ᎢᎬᏩᎾᏓᎴᎩ recognised.
		Caspar Wessel ᎤᏤᎵ lyudetiyvda ᏗᎾᏓᏅᏟ Johan Herman Wessel ᏥᏄᏍᏛᎩ ᎠᏂᏯᏩᏍᎩ ᏄᎬᏫᏳᏒ ᏚᏙᎥ ᎭᏫᎾᏗᏢ Norwegian ᎠᎴ Danish ᎪᏪᎸ ᏄᏍᏗᏓᏅ.
	www.merkeylaw.com /wiki/Caspar_Wessel (218 words)

	Caspar Wessel Summary
		Caspar Wessel (June 8, 1745 - March 25, 1818) was a Norwegian-Danish mathematician.
		Wessel was born in Jonsrud, Vestby, Akershus, Norway.
		Caspar Wessel's elder brother, Johan Herman Wessel was a major name in Norwegian and Danish literature.
	www.bookrags.com /Caspar_Wessel (857 words)

	Wessel biography
		Caspar, together with his two elder brothers Johan Herman Wessel and Ole Christopher Wessel, attended Christiania Cathedral School in the city of Christiania from 1757 until 1763 (Christiania was later renamed Kristiania, then Oslo in 1925).
		Caspar spent one year, from 1763 to 1764, studying at the University of Copenhagen but, as one might imagine, the large family was putting quite a strain on his parent's finances.
		Wessel's fame as a mathematician rests solely on this paper, which was published in 1799, giving for the first time a geometrical interpretation of complex numbers.
	www-history.mcs.st-andrews.ac.uk /Biographies/Wessel.html (1631 words)

	Wessel biography
		Caspar spent one year, from 1763 to 1764, studying at the University of Copenhagen but, as one might imagine, the large family was putting quite a strain on his parent's finances.
		Wessel's fame as a mathematician rests solely on this paper, which was published in 1799, giving for the first time a geometrical interpretation of complex numbers.
		In fact Wessel's paper was not noticed by the mathematical community until 1895 when Juel draw attention to it and, in the same year, Sophus Lie republished Wessel's paper.
	www.gap-system.org /~history/Biographies/Wessel.html (1631 words)

	Wessel (print-only)
		In May 1782 Wessel was released from his work with the Royal Danish Academy so that he could conduct a trigonometrical survey of the duchy of Oldenburg.
		Wessel worked on the survey of Oldenburg until the summer of 1785 when he returned to his work with the Royal Danish Academy.
		In the [1] article the approaches by Argand and Wessel are compared and contrasted.
	www-groups.dcs.st-and.ac.uk /history/Printonly/Wessel.html (1602 words)

	Encyclopedia Search
		Bartholin the Elder (1585 - 1629) was born at Malmo in Sweden and was...
		Wessel, (1745 - 1818) Norwegian - Danish...Lützen et al.
		Wessel 's elder brother, Johan Herman Wessel was a major name in...
	www.encyclopedian.com /search.php?searWords=Caspar (86 words)

	Jory Caspar Po tay toes (Site not responding. Last check: 2007-10-24)
		Caspar Siegmund In which Siegmund is pissed and Caspar compliments his ass.
		Caspar ducked into Siegmund's tent, a carefully covered plate of eggs in one hand and a small knife in the other.
		Rylan Caspar It felt like years had passed since Rylan had set foot in Morroc, and he had taken a few minutes after he had gotten out of the warp to just stand there and take the city in.
	www.ljtop.com /jory_caspar_po_tay_toes_182090679r.html (584 words)

	Argand
		Wessel's work in 1787 but it was not published until
		Wessel submitted a paper to a meeting of the Royal Danish Academy on 10 March 1797.
		Wessel's work which after all was published by the Royal Danish Academy.
	www.educ.fc.ul.pt /icm/icm2003/icm14/Argand.htm (844 words)

	Caspar Wessel: Definition and Links by Encyclopedian.com
		...Caspar Wessel Caspar Wessel Caspar Wessel, (1745 - 1818) Norwegian - Danish...Lützen et al.
		Caspar Wessel 's elder brother, Johan Herman Wessel was a major name in...
		Post a link to definition / meaning of " Caspar Wessel " on your site.
	www.encyclopedian.com /ca/Caspar-Wessel.html (303 words)

	Caspar Wessel - Wikipedia, den fria encyklopedin
		Caspar Wessel (8 juni 1745 - 25 mars 1818) var en norsk-dansk matematiker.
		Wessels erkänns dock idag allmänt som upphovsmannen till idén att representera komplexa tal som punkter i ett koordinatsystem med den reella delen av talet på ena axeln och den imaginära delen på den andra.
		Caspar var yngre bror till den norske författaren Johan Herman Wessel
	sv.wikipedia.org /wiki/Caspar_Wessel (193 words)

	Learn more about Complex number in the online encyclopedia. (Site not responding. Last check: 2007-10-24)
		The term "imaginary" for these quantities was coined by René Descartes in the 17th century and was meant to be derogatory.
		The existence of complex numbers was not completely accepted until the geometrical interpretation (see below) had been described by Caspar Wessel in 1799; it was rediscovered several years later and popularized by Carl Friedrich Gauss.
		The formally correct definition using pairs of real numbers was given in the 19th century.
	www.onlineencyclopedia.org /c/co/complex_number.html (1629 words)

	Wessel - Wikipedia, the free encyclopedia
		Caspar Wessel, a Dano-Norwegian mathematician who was the first person to describe the complex numbers.
		Horst Wessel, a Nazi brownshirt who was glorified as a martyr by the party in the Horst-Wessel-Lied.
		Kepler Wessels, the South African and Australian cricketer.
	en.wikipedia.org /wiki/Wessel (114 words)

	Wessel, Caspar (1745-1818)
		Thus what should really be called a Wessel diagram is known instead as an Argand diagram after the man whose work on the same subject, published in 1806, first came to the attention of the mathematical world.
		Wessel's paper, by contrast, wasn't noticed by the mathematical community until 1895 when the Danish mathematician Sophus Juel drew attention to it and, in the same year, Sophus Lie republished Wessel's paper.
		Astonishingly, Wessel's remarkable work was not translated into English until 1999 – its bicentenary!
	www.daviddarling.info /encyclopedia/W/Wessel.html (187 words)

	[No title] (Site not responding. Last check: 2007-10-24)
		Wessel (and Wallis, actually) reasoned that non-horizontal arrows should obey the same rule for addition: following each arrow and then starting the next from that point.
		Hence, when multiplying two directed segments y and z, Wessel suggested the product will have length equal to the product of the lengths of y and z, and an angle equal to the sum of the angles of y and z.
		Sadly, Wessel’s paper outlining all these ideas was written only in Danish, and published only in a small journal read mostly inside Denmark.
	education.uncc.edu /cmste/papers/PAPER(leigh).doc (2225 words)

	Background Material
		In 1797, the Norwegian surveyor Caspar Wessel was the first to discover a geometric interpretation of complex numbers that greatly simplifies the computations when multiplying complex numbers.
		This was a major breakthrough, but an even bigger contribution was his idea about how to multiply these directed line segments in the complex plane.
		Wessel decided (using analogies to real numbers) that the length of the product should be equal to the product of the two lengths.
	www-math.cudenver.edu /~rrosterm/piapprox/node1.html (241 words)

	Amazon.com: "Caspar Wessel": Key Phrase page (Site not responding. Last check: 2007-10-24)
		Otto Bekken reviews the work of the Norwegian, Caspar Wessel, who provided a graphical meaning to the concept of vectors in two dimensions and attempted to extend it to three...
		The Imaginary gian surveyor Caspar Wessel in 1797.
		Wessel's paper went unnoticed for nearly 100 years, but the same idea was put forward by others.
	www.amazon.com /phrase/Caspar-Wessel (360 words)

	Norske matematikere
		Kirsti Møller Pedersen (Kirsti Andersen): " Caspar Wessel og de komplekse tals repræsentasion." Normat 27 (2) (1979) pp.
		Viggo Brun: "Caspar Wessel et l'introduction géométrique des nombres complexes" Revue d'Histoire des Sciences 12 (1959), 19-24.
		Nils Voje Johansen: "Caspar Wessel - Norges første matematiker".
	home.hia.no /~aasvaldl/norskem.html (596 words)

	Remarks on the History of Complex Numbers
		The modern geometric interpretation of complex numbers was given by Caspar Wessel (1745-1818), a Norwegian surveyor, in 1797.
		It is not an unreasonable demand that operations used in geometry be taken in a wider meaning than that given to them in arithmetic.
		Wessel treats complex numbers as vectors (without using the term) and derives most of their properties, including, say, multiplication in the trigonometric form, without designating the latter as algebraic.
	www.cut-the-knot.org /arithmetic/algebra/HistoricalRemarks.shtml (1147 words)

	Read This: Study the Masters
		Nils Voje Johansen describes the origins of Caspar Wessel's 1797 treatise on the geometrical interpretation of complex numbers in his earlier work on surveying.
		In fact, it turns out that Wessel had used complex numbers as coordinates in the plane ten years earlier.
		He had, however, given little explanation of this, so Johansen speculates that he may well have explained it more thoroughly in a surveying report that is not extant.
	www.maa.org /reviews/studymasters.html (934 words)

	Inhomogeneous waves
		Girolamo Cardano was the mathematician who first discovered a solution, in 1545, though he thought his discovery was fictitious and useless.
		The further development and spreading of the idea of complex numbers, was the result of brilliant scientists such as Caspar Wessel, Rene Descartes, Gottfried Wilhelm von Leibniz, Leonard Euler and Carl Friedrich Gauss.
		After this analysis, it is possible to extract the real solution from the complex result.
	www.me.gatech.edu /declercq/Inhomogeneous-waves.htm (1898 words)

	ACA Home (Site not responding. Last check: 2007-10-24)
		Siken will complete a collection of research-based poems inspired by mathematicians Girolamo Cardano, Leonhard Euler, and Caspar Wessel, all of whom posited proofs using imaginary numbers.
		The poems will explore the invention of I, and other symbols, that illuminate solutions to otherwise insolvable problems.
		It is a pleasure to support this work.
	www.azarts.gov /artists/2006/siken.htm (116 words)

	Complex Numbers - History
		The existence of complex numbers was not completely accepted until the geometrical interpretation had been described by Caspar Wessel in 1799; it was rediscovered several years later and popularized by Carl Friedrich Gauss, and as a result the theory of complex numbers received a notable expansion.
		Wessel also considered the sphere, and gave a quaternion theory from which he developed a complete spherical trigonometry.
		In 1804 Abbé Buée independently came upon the same idea that Wallis had suggested, specifically, that
	collectiveknowledge.ucsc.edu /ComplexHistory/complexHistory.htm (580 words)

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