1. Wessel Caspar Wessel. Born 8 June Caspar Wessel s father, Jonas Wessel, and hisgrandfather were both ministers in the church. His mother, Helene http://www-gap.dcs.st-and.ac.uk/~history/Mathematicians/Wessel.html

Caspar Wessel Born: Died: 25 March 1818 in Copenhagen, Denmark Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Caspar Wessel 's father, Jonas Wessel, and his grandfather were both ministers in the church. His mother, Helene Marie Schumacher and Jonas had a large family consisting of fourteen children; Caspar was the sixth of the fourteen. 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 could not attend university in Norway for, at that time, there were no Norwegian universities. Since Norway was united with Denmark, the natural place for Norwegians to go for a university education was Denmark, and Caspar's brothers Johan Herman and Ole Christopher were already at the University of Copenhagen, having entered in 1761. 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. As we shall see below, this led to both Caspar and his brother Ole Christopher obtaining positions as surveyors with the Royal Danish Academy. Ole Christopher and Caspar were studying at the University of Copenhagen for a law degree. Ole Christopher started to work as a surveyor to help pay his way through university while Caspar was still at school. Obtaining his law degree in 1770, Ole Christopher went on to reach a very elevated position in the legal profession in Norway. Johan Herman (three years older than Caspar) became a poet and is the only one of the Wessel children to have their own entry in

2. Wessel Caspar Wessel and Complex Numbers. On March 10, 1797 Caspar Wessel presented his paper, ``On the analytic Representation of Direction '' to the Royal Danish Academy of Sciences. http://www-math.cudenver.edu/~rrosterm/wessel/wessel.html

Next: About this document ... Caspar Wessel and Complex Numbers On March 10, 1797 Caspar Wessel presented his paper, ``On the analytic Representation of Direction,'' to the Royal Danish Academy of Sciences. In his paper, Wessel gives the first clear, geometric interpretation of complex numbers. For Wessel, and for us today, a complex number is either the point (where and are real numbers) in the complex plane, or the directed radius vector from the origin to that point. Written in the from , the complex number is said to be in Rectangular or Cartesian form. An alternate way to represent this number is in polar form, written in terms of the length of the vector (or modulus) and the angle between the vector and the x-axis (the argument). The length of the vector is and the angle is . So we can represent the same number as note: The domain of is the interval so we need the following restriction: Next, Wessel described addition of complex numbers. First, consider two directed line segments along the x-axis, possibly pointed in the opposite direction. To add these two segments, we position the starting point of one at the terminal point of the other. The sum is the net resulting line segment from the initial point of the first to the terminal point of the second. Wessel decided that addition of complex number should follow the same rule. Look at the foolowing figure to see how this works Of course, for complex numbers the initial point of both vectors will be centered at the origin of the complex plane.

3. Caspar Wessel - Wikipedia Skrivarvänlig version Förbehåll. Ej inloggad. Logga in Hjälp. Caspar Wessel. Från Wikipedia, den fria encyklopedin. ( http://sv.wikipedia.org/wiki/Caspar_Wessel

Caspar Wessel Från Wikipedia, den fria encyklopedin. (Det finns för tillfället ingen text på den här sidan.) Views artikel diskussion redigera Personal tools Logga in Navigation Huvudsida Community portal Senaste ändringarna Slumpartikel ... Donationer Sök ord Toolbox Vilka sidor länkar hit Relaterade ändringar Speciella sidor Om Wikipedia ... Förbehåll

4. Caspar Wessel - Encyclopedia Article About Caspar Wessel. Free Access, No Regist encyclopedia article about Caspar Wessel. Caspar Wessel in Free onlineEnglish dictionary, thesaurus and encyclopedia. Caspar Wessel. http://encyclopedia.thefreedictionary.com/Caspar Wessel

Dictionaries: General Computing Medical Legal Encyclopedia Caspar Wessel Word: Word Starts with Ends with Definition Caspar Wessel June 8 June 8 is the 159th day of the year in the Gregorian Calendar (160th in leap years), with 206 days remaining. Events 452 - Attila the Hun invades Italy 536 - St. Silverius becomes Pope 570 - Islam is founded in Makkah 1776 - American invaders driven back at Trois Rivières 1783 - The volcano Laki, in Iceland, begins an eight-month eruption which kills over 9,000 people and starts a seven-year famine Click the link for more information. Centuries: 17th century - 18th century - 19th century Decades: 1690s 1700s 1710s 1720s 1730s - Years: 1740 1741 1742 1743 1744 - Events May 11 - War of Austrian Succession: Battle of Fontenoy - At Fontenoy, French forces defeat an Anglo-Dutch-Hanoverian army. August 19 - Beginning of the third Jacobite Rebellion at Glenfinnan September 12 - Francis I is elected Holy Roman Emperor with the support of his wife, Maria Theresia of Austria. He is the successor of Charles VII Albert of Bavaria, an enemy of Habsburg, who died on January 20 of this year. Click the link for more information.

5. Arkiv For Dansk Litteratur - Johan Herman Wessel - Caspar Wessel Caspar Wessel Titelliste Anvendt udgave Forfatterportræt bibliografi ForsideJohan Herman Wessel, Caspar Wessel. Se værket i flg. udgivelser http://www.adl.dk/adl_pub/vaerker/cv/e_vaerk/e_vaerk.xsql?ff_id=15&id=967&hist=C

6. Caspar Wessel Caspar Wessel. Caspar Wessel, (1745 1818) Nor-Dánština matematik,narozený v Jonsrud, Vestby, Akershus, Norsko. V 1763, mít http://wikipedia.infostar.cz/c/ca/caspar_wessel.html

švodn­ str¡nka Tato str¡nka v origin¡le Caspar Wessel Caspar Wessel Nor D¡nÅ¡tina matematik , narozen½ v Jonsrud, Vestby Akershus Norsko V , m­t vyplněnou středn­ Å¡kolu, on Å¡el do D¡nska pro dalÅ¡­ studia (Norsko m­t v době ž¡dn¡ univerzita). on z­skal m­ru candidatus juris. Od 1794, nicm©ně, on byl zaměstn¡n jak inspektor (od 1798 jako kr¡lovsk½ inspektor mapov¡n­). To byl matematick½ aspekt mapov¡n­, kter© vedlo jej k prozkoum¡vat geometrick½ v½znam komplexn­ č­sla . Jeho z¡kladn­ pap­r, Om directionens analytiske betegning, byl vyd¡v¡n v 1799 kr¡lovskou d¡nskou akademi­ věd a dopisy. Protože to bylo v d¡nÅ¡tině, to proÅ¡lo t©měř nepovÅ¡imnut© a stejn© v½sledky byly později samostatně naÅ¡el Argand a Gauss Wessel m¡ přednost k myÅ¡lence na komplexn­ č­slo jako bod v komplexn­ letadlo je dnes vÅ¡eobecně uznan½. Jeho pap­r byl re-vydan½ ve francouzÅ¡tině překlad v 1899, a v angličtině v roce 1999 jak Na analytick© reprezentaci směru (ed. J. L � tzen

7. Www.comanducci.it/database/risultati.asp?Ricerca=WESSEL%20Caspar Genealogy Data Father Huetteman, Franz (Frank) Josef Mother Wessel, Bernadina. Children ChildrenSchneider, Caspar T. Back to Main Page. Engelhard, Caspar Birth ABT. http://www.comanducci.it/database/risultati.asp?Ricerca=WESSEL Caspar

8. Caspar Wessel - Information An online Encyclopedia with information and facts Caspar Wessel Information,and a wide range of other subjects. Caspar Wessel - Information. http://www.book-spot.co.uk/index.php/Caspar_Wessel

Caspar Wessel - Information Home Mathematical and natural sciences Applied arts and sciences Social sciences and philosophy ... Interdisciplinary categories Caspar Wessel Norwegian Danish mathematician , born in Jonsrud, Vestby Akershus Norway In , having completed secondary school, he went to Denmark for further studies (Norway having at the time no university). he acquired the degree of candidatus juris. From 1794, however, he was employed as a surveyor (from 1798 as Royal inspector of Surveying). It was the mathematical aspect of surveying that led him to exploring the geometrical significance of complex numbers . His fundamental paper, Om directionens analytiske betegning, was published in 1799 by the Royal Danish Academy of Sciences and Letters . Since it was in Danish, it passed almost unnoticed, and the same results were later independently found by Argand and Gauss Wessel's priority to the idea of a complex number as a point in the complex plane is today universally recognised. His paper was re-issued in French translation in 1899, and in English in 1999 as On the analytic representation of direction (ed. J. Lützen

9. Wessel Caspar Wessel. Caspar Wessel s father and grandfather were both in the church. Wesselattended Christiania Cathedral School (now Oslo) from 1757 until 1763. http://intranet.woodvillehs.sa.edu.au/pages/resources/maths/History/Wssl.htm

Caspar Wessel Born: Died: 25 March 1818 in Copenhagen, Denmark Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Welcome page Caspar Wessel 's father and grandfather were both in the church. Wessel attended Christiania Cathedral School (now Oslo) from 1757 until 1763. Having spent one year from 1863 to 1764 at the University of Copenhagen, Wessel obtained a position with the Danish Survey Commission as a cartographer. After obtaining a law degree, he added this expertise and also an expertise in surveying to his collection of skills. At this point he became survey superintendent. Throughout his life Wessel suffered financial hardship but this was largely of his own making. He refused to accept payment for maps which he had been commissioned to make. He did accept the award of a silver medal from the Royal Danish Academy for his work on maps but medals didn't make him well off. Wessel's fame as a mathematician rests solely on one paper which he wrote in 1799 giving a geometrical interpretation of the complex numbers. Today we call this geometric interpretation the Argand diagram but Wessel's work came first. It was rediscovered by

10. Onetree Genealogy Wessel Alice Cecilie Wessel (1883 - 1955); wessel caspar von Wessel (1 NOV 1693 - 9 SEP 1768); Wessel Christopher http://www.one-tree.dk/onetree98.html

Welcome to / Velkommen til: OneTree Genealogy Please read / Læs venligst: Safe Harbor Statement ... The Master Index - Hovedindex Search on - Søg på: Index View information for the following individuals - Vis informationer for følgende personer: Trock-Jansen : Peter Hermann Gottlieb Trock-Jansen Trock-Jansen : Unse Marie Trock-Jansen (19 OCT 1925 - ) Trock : Carl Frederik Stub Trock (10 JUL 1855 - 25 NOV 1910) Trock : Eduard Sünckenberg Trock (10 NOV 1890 - 7 SEP 1961) Trock : Elise Hedevig Annette Trock Trock : Hendrine Magdalene Elisabeth Trock (ABT JUN 1780 - 16 MAR 1855) Trock : Jens Wilhelm Trock (24 MAR 1930 - ) Trock : Johan Ditrich Trock Trock : Julius Wilhelm Trock (22 APR 1863 - ) Trock : P H G Trock Trock : P H G Trock Trock : Paula Trock (10 FEB 1889 - 18 NOV 1979) Trockau : Adelheid Gross von Trockau (10 SEP 1888 - 4 OCT 1974) Trockau : Gabriele Gross von Trockau (11 DEC 1885 - 12 JUL 1933) Troels-Lund : Troels Frederik Troels-Lund (5 SEP 1840 - ) Troels-Smith : Axel Troels-Smith (7 AUG 1912 - ) Troels-Smith : Birgit Troels-Smith (4 JUN 1947 - ) Troels-Smith : Henrik Troels-Smith (15 SEP 1941 - ) Troels-Smith : Jesper Troels-Smith (27 NOV 1975 - ) Troels-Smith : Nicolai Troels-Smith (21 MAY 1972 - ) Troels-Smith : Preben Troels-Smith (26 OCT 1942 - ) Troels-Smith : Troels Frederik Plum Troels-Smith (20 MAY 1871 - 1948) Troels-Smith : Viggo Troels-Smith (6 JUL 1916 - ) Troelsen : Clara Olivia Louise Troelsen (26 DEC 1875 - ) Troil : Knut Stensson Samuel Werner friherre von Troil (9 JAN 1926 - ) Troil : Maria Carola Knutsdottor friherreinde von Troil (27 APR 1962 - )

11. Caspar Wessel Caspar Wessel. Caspar Wessel (June 8, 1745 March 25, 1818) was a Norwegian-Danishmathematician. Wessel was born in Jonsrud, Vestby, Akershus, Norway. http://www.sciencedaily.com/encyclopedia/caspar_wessel

Match: sort by: relevance date Free Services Subscribe by email RSS newsfeeds PDA-friendly format loc="/images/" A A A Find Jobs In: Healthcare Engineering Accounting College Contract / Freelance Customer Service Diversity Engineering Executive Healthcare Hospitality Human Resources Information Tech International Manufacturing Nonprofit Retail All Jobs by Job Type All Jobs by Industry Relocating? Visit: Moving Resources Moving Companies Mortgage Information Mortgage Calculator Real Estate Lookup Front Page Today's Digest Week in Review Email Updates ... Outdoor Living Encyclopedia Main Page See live article Caspar Wessel Caspar Wessel June 8 March 25 ) was a Norwegian Danish mathematician . Wessel was born in Jonsrud, Vestby Akershus , Norway. In , having completed secondary school, he went to Denmark for further studies (Norway having at the time no university). he acquired the degree of candidatus juris. From 1794, however, he was employed as a surveyor (from 1798 as Royal inspector of Surveying). It was the mathematical aspect of surveying that led him to exploring the geometrical significance of complex numbers . His fundamental paper

12. Encyclopedia: Caspar Wessel Encyclopedia caspar wessel. caspar wessel, (1745 1818) Norwegian-Danish mathematician, born in Jonsrud tzen et al.). caspar wessel's elder brother, Johan Herman wessel was a http://www.nationmaster.com/encyclopedia/Caspar-Wessel

Supporter Benefits Signup Login Sources ... Pies Factoid #7 Israel enjoys a GDP per capita 21 times that of the Palestinian West Bank and 33 times that of the Gaza Strip . Its military spending per capita tops the world. Interesting Facts Make your own graph: Hold down Control and click on several. Compare All Top 5 Top 10 Top 20 Top 100 Bottom 100 Bottom 20 Bottom 10 Bottom 5 All (desc) in category: Select Category Agriculture Crime Currency Democracy Economy Education Energy Environment Food Geography Government Health Identification Immigration Internet Labor Language Manufacturing Media Military Mortality People Religion Sports Taxation Transportation Welfare with statistic: view: Correlations Printable graph / table Pie chart Scatterplot with ... * Asterisk means graphable. Added May 21 Mortality stats Multi-users ½ price Catholic stats Top Graphs Richest Most Murderous Most Populous Most Militaristic ... More Stats Categories Agriculture Background Crime Currency ... Welfare Updated: Apr 28, 2004 Encyclopedia : Caspar Wessel Caspar Wessel June 8 March 25 ) was a Norwegian Danish mathematician. Wessel was born in Jonsrud

13. Blank Entries From Eric Weisstein's World Of Scientific Biography Translate this page Weinberg, Steven (1933-) Weisskopf, Victor Frederick (1908-2002) Weizsäcker, vonWeller, Thomas Huckle (1915-) wessel, caspar (1745-1818) Westinghouse, George http://scienceworld.wolfram.com/biography/blank-entries.html

Please consider contributing or extending the following entries. For more information about making contributions, see the page on contributing . Please send contributions to scienceworld@wolfram.com Abbe, Ernst (1840-1905) Adams, John Couch (1819-1892) Aepinus, Franz (1724-1802) ... Zwicky, Fritz (1898-1974)

14. Wessel Biography of caspar wessel (17451818) caspar wessel. Born 8 June 1745 in Vestby (near Dröbak), Norway caspar wessel's father, Jonas wessel, and his grandfather were both ministers in the church http://www-groups.dcs.st-and.ac.uk/~history/Mathematicians/Wessel.html

Caspar Wessel Born: Died: 25 March 1818 in Copenhagen, Denmark Show birthplace location Previous (Chronologically) Next Biographies Index Previous (Alphabetically) Next Main index Caspar Wessel 's father, Jonas Wessel, and his grandfather were both ministers in the church. His mother, Helene Marie Schumacher and Jonas had a large family consisting of fourteen children; Caspar was the sixth of the fourteen. 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 could not attend university in Norway for, at that time, there were no Norwegian universities. Since Norway was united with Denmark, the natural place for Norwegians to go for a university education was Denmark, and Caspar's brothers Johan Herman and Ole Christopher were already at the University of Copenhagen, having entered in 1761. 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. As we shall see below, this led to both Caspar and his brother Ole Christopher obtaining positions as surveyors with the Royal Danish Academy. Ole Christopher and Caspar were studying at the University of Copenhagen for a law degree. Ole Christopher started to work as a surveyor to help pay his way through university while Caspar was still at school. Obtaining his law degree in 1770, Ole Christopher went on to reach a very elevated position in the legal profession in Norway. Johan Herman (three years older than Caspar) became a poet and is the only one of the Wessel children to have their own entry in

15. References For Wessel References for caspar wessel. Books B Banner and J Lützen (eds.), casparwessel, On the analytic representation of direction (1999). http://www-gap.dcs.st-and.ac.uk/~history/References/Wessel.html

References for Caspar Wessel Biography in Dictionary of Scientific Biography (New York 1970-1990). Books: Caspar Wessel, On the analytic representation of direction M J Crowe, A History of Vector Analysis (Notre Dame, 1967). Articles: B Branner, Caspar Wessel on representating complex numbers (1799), European Mathematical Society Newsletter Revue d'histoire des sciences et de leur applications V Brun, New biographical information on Caspar Wessel (Norwegian), Nordisk Mat. Tidskr. K M Pedersen, Caspar Wessel and the representation of complex numbers (Danish), Normat O Pedersen, Lovers of learning : A history of the Royal Danish Academy of Sciences and Letters 1742-1992 (Copenhagen, 1992), 89-104; 119-132. Main index Birthplace Maps Biographies Index History Topics ... Anniversaries for the year JOC/EFR February 2000 School of Mathematics and Statistics University of St Andrews, Scotland The URL of this page is: http://www-history.mcs.st-andrews.ac.uk/References/Wessel.html

16. [HM] Caspar Wessel HM caspar wessel. post a message on this topic. post a message on a new topic. 4 Dec 2002 HM caspar wessel, by Romulo Lins. 4 Dec 2002. Re HM caspar wessel, by Bjoern Smestad. 4 Dec 2002 http://mathforum.com/epigone/historia/jouspexflan

a topic from historia [HM] Caspar Wessel post a message on this topic post a message on a new topic 4 Dec 2002 [HM] Caspar Wessel , by Romulo Lins 4 Dec 2002 Re: [HM] Caspar Wessel , by Bjoern Smestad 4 Dec 2002 Re: [HM] Caspar Wessel , by Julio Gonzalez Cabillon 5 Dec 2002 Re: [HM] Caspar Wessel , by Emili Bifet 6 Dec 2002 Re: [HM] Caspar Wessel , by Romulo Lins The Math Forum

17. Wessel, Caspar (1745-1818) -- From Eric Weisstein's World Of Scientific Biograph Alphabetical Index. About this site. Branch of Science , Mathematicians v. wessel,caspar (17451818), The first person to introduce complex numbers (in 1799). http://scienceworld.wolfram.com/biography/Wessel.html

Branch of Science Mathematicians Wessel, Caspar (1745-1818) The first person to introduce complex numbers (in 1799). However, his contribution was overlooked by his successors. Additional biographies: MacTutor (St. Andrews)

18. [HM] Caspar Wessel HM caspar wessel. post a message on this topic. post a message on a new topic. 4 Dec 2002 HM caspar wessel, by Romulo Lins. 4 Dec 2002. Re HM caspar wessel, by Bjoern Smestad. 4 Dec 2002 http://mathforum.com/epigone/historia_matematica/jouspexflan

a topic from Historia-Matematica Discussion Group [HM] Caspar Wessel post a message on this topic post a message on a new topic 4 Dec 2002 [HM] Caspar Wessel , by Romulo Lins 4 Dec 2002 Re: [HM] Caspar Wessel , by Bjoern Smestad 4 Dec 2002 Re: [HM] Caspar Wessel , by Julio Gonzalez Cabillon 5 Dec 2002 Re: [HM] Caspar Wessel , by Emili Bifet 6 Dec 2002 Re: [HM] Caspar Wessel , by Romulo Lins The Math Forum

19. Encyclopedia: Johan Herman Wessel decorations. He was born and raised in Vestby, Akershus, Norway, and wasthe elder brother of mathemathician caspar wessel. {{msgstub}}. http://www.nationmaster.com/encyclopedia/Johan-Herman-Wessel

Supporter Benefits Signup Login Sources ... Pies Factoid #9 Luxembourgers are the world's richest people - and also the most generous Interesting Facts Make your own graph: Hold down Control and click on several. Compare All Top 5 Top 10 Top 20 Top 100 Bottom 100 Bottom 20 Bottom 10 Bottom 5 All (desc) in category: Select Category Agriculture Crime Currency Democracy Economy Education Energy Environment Food Geography Government Health Identification Immigration Internet Labor Language Manufacturing Media Military Mortality People Religion Sports Taxation Transportation Welfare with statistic: view: Correlations Printable graph / table Pie chart Scatterplot with ... * Asterisk means graphable. Added May 21 Mortality stats Multi-users ½ price Catholic stats Top Graphs Richest Most Murderous Most Populous Most Militaristic ... More Stats Categories Agriculture Background Crime Currency ... Welfare Updated: Apr 27, 2004 Encyclopedia : Johan Herman Wessel Johan Herman Wessel October 6 December 29 ) was a major name in Norwegian and Danish literature. Some of his satirical and poems are still popular. The traditional restaurant Wesselstuen in Bergen, Norway

20. Food For Thought: Biographies 18101876. wessel, caspar (Norwegian mathematician, cartographer) 1745-1818. wessel, Horst (German student; wrote Nazi rallying song http://www.junkfoodforthought.com/bio/bio_W.htm

Waage, Peter (Norwegian chemist) Waals, Johannes Diderik van der (Dutch physicist) Waccho (Lombard king c.510-c.539) d.c.539 Wace (Anglo-Norman poet) c.1100-1174? Wach, Joachim (German-born American theologian) Wackenroder, Wilhelm Heinrich (German writer, critic) Wackernagel, Jacob (German linguist; son of Wilhelm) Wackernagel, Wilhelm (German scholar) Waddel, Moses (American educator) Waddell, Hugh (Irish-born American soldier) Waddell, James Iredell (American naval officer) Wadding, Luke (Irish religious, historian) Waddington, William Henry (French archaeologist, politician) Wade, Benjamin Franklin (American politician) Wade, George (Irish-born British soldier) Wade, Sir Thomas Francis (English soldier, diplomat, scholar) Wagner, Cosima (German art director; wife of Richard) Wagner, George Raymond "Gorgeous George" (American wrestler) Wagner, Jane (American writer, actor, film director, producer) b.1935 Wagner, John Peter (aka Honus, Hans) (American baseball player) Wagner, Otto (Austrian architect; founder of modern movement) Wagner, Robert Ferdinand (German-born American politician)

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