41. Technology/ Engineering Translate this page Vyshnegradsky, Ivan Alekseevich. Watson-Watt, Robert Alexander. Watt, James.Wedgwood, Josiah. Weisbach, Julius Ludwig. wessel, caspar http://www.indiana.edu/~newdsb/tech.html

Technology/ Engineering Agassiz, Alexander Alberti, Leone Battista Albrecht, Carl Theodor Amici, Giovan Battista Amsler, Jakob Archimedes Armstrong, Edwin Howard Ayrton, Hertha Babbage, Charles Baker, Henry Balbus Baldi, Bernardino Barkhausen, Heinrich Georg Bauer, Franz Andreas Beale, Lionel Smith Beckmann, Johann Beeckman, Isaac Bell, Alexander Graham Bellinsgauzen, Faddei F. Berger, Hans Berkner, Lloyd Viel Bernoulli, Jakob Bessemer, Henry Betancourt y Molina, Augustin de Bion, Nicolas Borelli, Giovanni Alfonso Borries, Bodo von Bossut, Charles Bour, Edmond Boussinesq, Joseph Valentin Brashman, Nikolai Dmitrievich Brinell, Johan August Brioschi, Francesco Brown, Ernest William Brunelleschi, Filippo Bunyakovsky, Viktor Yakovlevich Buono, Paolo del Bush, Vannevar Cailletet, Louis Paul Callendar, Hugh Longbourne Campani, Giuseppe Carnot, Lazare-Nicolas- Marguerite Castelli, Benedetto Castigliano, Alberto Cauchy, Augustin-Louis Chaplygin, Sergei Alekseevich Charcot, Jean-Baptiste Chardonnet, Louis-Marie- Hilaire Bernigaud Christofilos, Nicholas Constantine Clairaut, Alexis-Claude

42. Details For Arround Caspar Wessel And The Geometric Representation Of Complex Nu Details for Arround caspar wessel and the Geometric Representation of ComplexNumbers. Proceedings of the wessel Symposium at the Royal Danish Academy of http://cgi.math.ku.dk/publications/?page=Details;inst=MA;id=211

43. Publications Related To "Arround Caspar Wessel And The Geometric Representation Jesper Lützen (editor) Arround caspar wessel and the Geometric Representationof Complex Numbers. Proceedings of the wessel Symposium at the Royal Danish http://cgi.math.ku.dk/publications/?page=History;inst=MA;id=211

44. Famous Mathematicians. Joseph Louis 17361813 Wilson, John 1741-1793 wessel, caspar 1745-1818 Laplace,Pierre Simon de 1749-1827 Legendre, Adrien Marie 1752-1833 Nieuwland, http://home.egge.net/~savory/maths6.htm

Pre-Einstein famous mathematicians. Stu Savory, 2004. If you ask people these days to name a famous mathematician, surveys show the most popular answer to be Albert Einstein . Einstein himself used to like to quote Sir Isaac Newton's famous humble line "If I have seen further than other men, it is by standing on the shoulders of giants." So I asked myself, who were these giants, i.e. famous pre-Einstein mathematicians. Here's the list of the top 100 or so, sorted chronologically. How many do you know? That means you can state what they were famous for, off the cuff, no googling! If you score below 30 you need to do some revision :-) Ahmes c. 1650 B C Pythagoras c.540 BC Hippocrates c.440 BC (that's Hippocrates of Chios, NOT the physician who lived around the same time). Plato c.430-c.349 BC Hippias c.425 BC Theaetetus c.417-369 BC Archytas c.400 B C Xenocrates 396-314 BC Theodorus c.390 BC Aristotle 384-322 BC Menaechmus c.350 BC Euclid c.300 BC Archimedes c.287-212 BC Nicomedes c.240 BC Eratosthenes Gauss , Karl Friedrich 1777-1855 Brianchon, Charles c.1783-1864 Binet, Jacques-Philippe-Marie 1786-1856 Möbius, August Ferdinand 1790-1868 Babbage, Charles 1792-1871 Laine, Gabriel 1795-1870 Steiner, Jakob 1796-1863 de Morgan, Augustus 1806-1871 Liouville, Joseph 1809-1882 Shanks, William 1812-1882 Catalan, Eugene Charles 1814-1894 Hermite, Charles 1822-1901 Riemann, Bemard 1826-1866 Venn, John 1834-1923 Lucas, Edouard 1842-1891 Cantor, George 1845-1918 Lindemann, Ferdinand 1852-1939 Hilbert, David 1862-1943 Lehmer, D. N. 1867-1938 Hardy, G. H. 1877-1947 Ramanujan, Srinivasa 1887-1920

45. Caspar Wessel - Johan Herman Wessel - Kalliope caspar wessel er digterens bror og han huskes i matematikken som den første derafbildede de komplekse tal i en plan (opdaget i 1797 og trykt i 1799). http://www.kalliope.org/digt.pl?longdid=wesselsmaaverse9

46. Johan Herman Wessel - Kalliope caspar wessel Chor og Prologue Contrasterne. D. Da Chloe var i Kirke David og Jonathan De to Agerhøns Den bekymrede Moder Den Druknede http://www.kalliope.org/flines.pl?mode=1&fhandle=wessel

47. Genealogy Data wessel, Casper Birth 16 OCT 1833 Germany Death 23 SEP 1895 Detroit, MichiganGender Male Engelhard, caspar Birth 19 NOV 1871 Detroit, Michigan http://www.geocities.com/Heartland/Plains/8270/dat61.htm

Genealogy Data Back to Main Page Wessel, Casper Birth : 16 OCT 1833 Germany Death : 23 SEP 1895 Detroit, Michigan Gender: Male Family: Children: Wessel, Bernadina Back to Main Page Huetteman, Johannes Josef (Joseph) Birth : 7 SEP 1840 Endorf (Stockum Balve), Westfalen, Preussen Death : 16 OCT 1921 Detroit, Michigan Gender: Male Parents: Father: Huettemann, Joannes Franz Mother: Roehrig, Anna Maria Elisabeth Family: Marriage: ABT 1870 in Michigan Spouse: Engelhardt?, Theresia Birth : 16 MAY 1850 Preussen Death : 1 JUN 1914 Detroit, Michigan Gender: Female Children: Huetteman, Joseph Birth : ABT 1873 Michigan Gender: Male Huetteman, Fredrick Birth : JAN 1876 Michigan Gender: Male Huetteman, Bernadina Huetteman, John J Huetteman, Frank Birth : MAR 1887 Michigan Gender: Male Huetteman, Bernard Birth : JAN 1890 Michigan Gender: Male Back to Main Page Henke, Joseph F Birth : 1875 Michigan Death : 1956 Detroit, Michigan Gender: Male Family: Marriage: ABT 1911 Spouse: Huetteman, Bernadina Birth : DEC 1878 Michigan Death : 1927 Detroit, Michigan

48. Caspar Wessel Biography .ms caspar wessel. Related Links. caspar W. Weinberger quotes caspar wessel selder brother, Johan Herman wessel was a major name in Norwegian and Danish http://caspar-wessel.biography.ms/

Caspar Wessel Related Links Caspar W. Weinberger quotes Robert Caspar Lintner quotes 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, 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

49. Untitled Document It was only in 1787 that a Norwegian surveyor named caspar wessel came up withthe idea of a 90degree rotation for i, and the resulting diagram above. http://www.sas.org/E-Bulletin/2003-10-17/features/body.html

Printer-friendly version 17 October 2003 By the Numbers, More Imagining by Peter Torrione L ast time ( "By the Numbers, Imagine That!" Also recall that since -1 was a rotation of 180 degrees about zero, "i" had to be a rotation of 90 degrees about zero. This comes from i x i being two rotations of 90 degrees resulting in a 180-degree rotation or -1. Are we finished? No! What happens when we add an "imaginary" number to a "real" number? Where is, for instance, 1 + i? It is clearly not on either the real or imaginary axis. Closure says it's a number, so we must find it. Notice that the lines we've created for the "real" and "imaginary" axes define or produce a flat plane. The plane is the plane of the sheet of paper. Euclid said it: Two intersecting lines define a plane. The entire plane could contain numbers. Before only the axes contained our numbers (real or imaginary), now the plane contains our new numbers which have both real

50. The Danish Royal Academy: Recent Publications caspar wessel. On the Analytical Representation of Direction. An Attempt AppliedChiefly to Around caspar wessel and the Geometric Representation. http://www.royalacademy.dk/pubs_e.htm

Udgivelser fra Det Kongelige Danske Videnskabernes Selskab Publications in the Academy Series email: kdvs@royalacademy.dk Oversigt 1998-2000 (Annual Report with an english summary). 498 pp, 100 DKK Historisk-filosofiske Skrifter (Historical-Philosophical Series) Forfatter (Author) Titel Pris (price) Riis, P.J. Vulcientia Vetustiora, A Study of Archaic Vulcian Bronzes . 1997. 137 pp. 123 figures. 360 DKK Atayal-English Dictionary 358 pp. 480 DKK A Comparative Study of Thirty City-State Cultures , edited by Mogens Herman Hansen. 2000. 636 pp. 600 DKK War as a Social and Cultural Forc e Edited by Tønnes Bekker-Nielsen 300 DKK Jørgen Læssøe The Shemshara Archives 1 272 pp. 400 DKK Fritz Saaby Pedersen The Toledan Tables , vol. 1-4. 2002. 1662 pp. 1.200 DKK Videnskab og værdier . Den humanistiske udfordring. Beretning fra symposiet 31.3 - 2.4.2000. Redigeret af Kirsten Hastrup. 2002. 288 pp. Under udgivelse in print The Naq Hammadi Texts in the History of Religion Proceedings of the International Conference at The Royal Danish Academy of Sciences and Letters in Copenhagen, September 19-24, 1995. Edited by Søren

51. Det Kongelige Danske Videnskabernes Selskab Author(s), wessel, caspar. Editor(s), Branner, Bodil; Lützen, Jesper. Title,On the Analytical Representation of Direction http://www.royalacademy.dk/SearchDatabase.asp?page=73

52. Food For Thought: Biographies wessel, caspar (Norwegian mathematician, cartographer), 17451818. wessel,Horst (German student; wrote Nazi rallying song), 1907-1930 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) Wackenhut, George Russell (Am. FBI agent; fd. security firm) 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)

53. DNV Ocean *3# - Tools Cabinet. The Norwegian surveyor caspar wessel (17451818) was the first to give a geometricalrepresentation of complex numbers in 1797, (200 years in 1997). http://research.dnv.com/ocean/cc/Tools.htm

A Course in Ocean Engineering Talk Phone ~ Tools Cabinet ~ (Most functions are under reconstruction) The course offers a number of tools which intend to facilitate the course itself as well as technical work later on. Some features are well established while others are on the research stage. Internal Calling Ocean 's internal calling system. Wessel Counter Calculator for complex functions. Slide Rule Calculator for advanced form input. Field Service Wireless pocket-Ocean. Talking Textbook Complex Potential " on the Stereo. Mobile Computing Wave height pocket predictor. Audible Editor Telephone editor AUDIT Mobile Worker Remote computer with AUDIT input. Course Forward Status and future of the field service. The Tools Cabinet The Internal Calling operates the call-boxes which provide direct transition between house activities and text-book material. The Wessel Counter is a calculator particulary prepared for calculation with complex numbers and functions. The Norwegian surveyor Caspar Wessel (1745-1818) was the first to give a geometrical representation of complex numbers in 1797, (200 years in 1997). This was done prior to both Gauss and Argand. The Slide Rule is a simpler calculator for algebraic operations and some selected mathematical functions. The number input fields in the computer forms accept

54. Complex No Intro - Vector And Complex Numbers: This section briefly describes the approach of caspar wessel (17451818). Part ofwessel s work (translated into English) is reproduced in David Eugene http://whyslopes.com/etc/ComplexNumbers/complex.html

www.whyslopes.com Visit a site area or page Foreword Introducing Site Books Pattern Based Reason - R. and R. from Mathematics Learn to solve equations and master fractions too WebVideos on primes, GCD, LCD and fractions (Euclidean) Geometry - reasoning without coordinates (Analytic Geometry) - reasoning with coordinates A Calculus intro or preview with the essence of later ideas Algebraic eval of limits for derivatives of y = x**2 (with webvideos) More on Limits - epsilon delta alternative. Decimal Proofs of Theorems in Calculus or Real Analysis. Author A. Selby, Ph. D, Email Site uploaded with SmartFTP. Favourite Sites BBC News and the Mathematics portion of English National Curriculum Francais Définition d'une variable Algèbre Arithmetique Logique ... Next Complex No Intro What does whyslopes.com offer? See the site map for a full answer. Parents Site area Helping Your Child Learn touches Speaking Skills 3. Science 4. Readings-Workbooks 5. Readings for Parents ... Having Patience - you'll need it. July 2005: The site author is available consultations for mathematics problems at work (how good is your approach) available too.

55. 1798: Information From Answers.com Norwegian surveyor caspar wessel b. Vestby, Norway, June 8, 1745, d. Copenhagen,Denmark, March 25, 1818 publishes in the Transactions of the Danish http://www.answers.com/topic/1798

showHide_TellMeAbout2('false'); Arts Business Entertainment Games ... More... On this page: US Literature Wikipedia Mentioned In Or search: - The Web - Images - News - Blogs - Shopping In the year Archaeology Napoleon Bonaparte, after conquering most of Egypt, establishes the Institut d'Egypte, staffed with French scholars who, among other studies of Egypt, begin the study of ancient temples and tombs. See also 1799 Archaeology Astronomy German astronomers Heinrich W. Brandes [b. 1777, d. 1834] and Johann F. Benzenberg [b. 1777, d. 1846] use triangulation to measure the height of meteors as they burn in the atmosphere. Pierre-Simon Laplace uses Newton's concept of light as particles to predict the existence of what are essentially black holes stars so big that the escape velocity for particles exceeds the speed of light. See also 1784 Astronomy 1939 Astronomy The first volume of James Bradley's catalog of stellar positions is published posthumously. See also 1762 Astronomy Chemistry Louis-Nicolas Vauquelin discovers beryllium (Be) in the gems beryl and emerald, but does not isolate the element. Beryllium will finally be isolated by Friedrich W¶hler in 1828. (See biography Communication Aloys Senefelder [b. Prague, (Czech Republic), November 6, 1771, d. Munich, 1834] invents lithography. Having made a note on a stone plate with a wax-based ink because paper is not at hand, he has the idea to treat the stone plate with acid, causing the surface protected by the ink to stand out in relief and making it possible to use it for block printing.

56. FoCuS Ås: Homepage caspar is named for Norway s first mathematician, caspar wessel, who was born atVestby, right south of Ås in 1745. He was the first to propose the http://focus.umb.no/

FoCuS Ås Forum for Computational Science at Ås Contact: focus-info@nlh.no Home Software Hardware ... Contact Welcome! FoCuS Ås is the Forum for Computational Science at Ås . It provides researchers at and around NLH with a forum to exchange their experiences, and benefit from each others strengths. FoCuS will thus spur the development of computational sciences across disciplines at NLH. FoCuS is open to all researches at NLH and associated institutes. Please send a mail to focus-info@nlh.no to be kept up to date about FoCuS' activities, or return to this website regularly! Obtaining an account on Caspar Caspar will enter regular service after Easter 2004. If you would like to use Caspar, please fill in an Account Application and send it to Hans Ekkehard Plesser IMT Caspar: NLH's Supercomputer Thank's to a generous internal grant, NLH now has its own supercomputer, Caspar. The machine is an HP AlphaServer GS1280 with 8 processors (EV7), 32GB of RAM and some 500GB net disk capacity. It provides computer power in the range between desktop workstations and the major national supercomputing centers ( NOTUR Caspar is named for Norway's first mathematician, Caspar Wessel, who was born at Vestby, right south of Ås in 1745. He was the first to propose the geometric representation of complex numbers. Biographies are available in

57. Nyhet, Fysisk Institutt, Universitetet I Oslo Fysisk institutt Nyhet. Invitasjon til caspar wessel seminar. 26.11. kl 1000,.caspar wessel (1745-1818) var Norge/Danmarks første betydelige matematiker http://www.fys.uio.no/nyheter/ingen/3f9e6d165d6e.html

UiO - nettsider UiO - personer BIBSYS - forfatter BIBSYS - tittel WWW - HotBot WWW - AltaVista WWW - Google Om UiO Studier Studentliv Forskning ... Fysisk institutt - Nyhet Invitasjon til Caspar Wessel seminar. 26.11. kl 10:00, Caspar Wessel (1745-1818) var Norge/Danmarks første betydelige matematiker. Som vanlige tall kan beskrives som steder på en tall-linje, fant Caspar Wessel at komplekse tall kan beskrives som punkter i et plan. Dette plan blir kalt det komplekse plan eller Argand-planet etter den sveitsiske matematiker Argand (1768-1822), noe som blir misvisende når man vet at Argand foreslo dette i 1806, mens Caspar Wessel foreslo det allerede i 1797. Bioimpedans-gruppen ved Fysisk institutt ved Universitetet i Oslo har foreslått å kalle det komplekse plan for Wessel-planet, og har begynt å bruke dette navnet i sine internasjonale publikasjoner. Hensikten med seminaret er å minne om og levendegjøre Wessels store oppdagelse. Bruken av det komplekse plan er viktig i vekselstrømslæren. Elektrisk impedans kan beskrives som motstand mot vekselstrøm. Det viser seg at impedans må karakteriseres ikke bare som motstand mot strømgjennomgang, men også ved sin evne til å forskyve strømmen i tid. Dette betyr at impedans må beskrives med to tall, ikke bare med ett. Og et komplekst tall er nettopp en størrelse som beskrives med to tall. Bruken av komplekse tall inngår i en rekke vitenskaper, kanskje særlig innenfor fysikk/elektronikk og matematikk. Alle ved Universitetet som er interessert i dette er invitert til å delta på Wessel-seminaret 26.november. Seminaret foregår i Wesselstuen der Caspar Wessel bodde sine første leveår.

58. A Complex History As early as 1787 the Norwegian surveyor caspar wessel (his elder brother JohanHerman was to earn national fame as a Danish poet and writer) had the idea of http://wwwhome.cs.utwente.nl/~jagersaa/Complex_plane/Bar.html

Again, the links below refer to the famous St.Andrews MacTutor archive. As early as 1787 the Norwegian surveyor Caspar Wessel (his elder brother Johan Herman was to earn national fame as a Danish poet and writer) had the idea of representing the field of complex numbers geometrically as a 2-dimensional space over the reals , a plane, now universally known as the complex plane [of course history had to wait, among other things, for Richard Dedekind for a rigorous definition of a real number in terms of the "familiar" rationals]. Wessel's publication dates from 1799. Seven years later Argand's (anonymous!) booklet: " " appeared. Its history makes fascinating reading. In Germany one speaks of the: "Gausssche Zahlenebene" after the 1831 work of Gauss. The integer lattice Z i a bi a b in Z a complex plane history Argand, Gauss, Wessel

59. Caspar Wessel - Landmåler Og Matematiker I mitt foredrag vil jeg kort gå inn på caspar wessel som person og MøllerPedersen, Kirsti (1979) caspar wessel og de komplekse tals repræsentation. http://www.ivh.au.dk/kollokvier/nils_voje_johansen_25_02_99.dk.html

Institutkollokvium ved Institut for Videnskabshistorie Torsdag d. 25. 2. kl. 15 i koll. G4, Institut for Matematiske Fag Lektor Nils Voje Johansen Matematisk Institutt, UiO, Norge Caspar Wessel - landmåler og matematiker Abstract 10. mars 1797 ble det i Videnskabernes Selskab i København framlagt en artikkel skrevet av landmåler Caspar Wessel. Artikkelen kom på trykk i Selskabets skrifter i 1799 uten å vekke samtidens interesse. Omlag 100 år senere ble artikkelen gjenoppdaget og det viste seg at Wessel i artikkelen hadde gitt en geometrisk representasjon av de komplekse tall. I mitt foredrag vil jeg kort gå inn på Caspar Wessel som person og landmåler - og spesielt fokusere på hans landmålingsjournal fra 1787 hvor han benytter det komplekse plan i forbindelse med kartprojeksjonen. Wessel har altså benyttet seg av det komplekse plan minst 10 år før artikkelen ble skrevet. Litteratur Caspar Wessels artikkel finnes i Det Kgl. Danske Videnskabernes Selskabs Skrifter, Nye Samling, V (1799), pp. 469-518. Artikler om Caspar Wessel og hans artikkel: Christensen, S.A.(1895)

60. Publikationsliste - Kirsti Andersen “wessel’s Work on Complex Numbers and its Place in History”, in caspar wessel, “caspar wessel og de komplekse tals repræsenta­tion” Nordisk Matematisk http://www.ivh.au.dk/personale/kirsti_andersen/publikationsliste.dk.html

//Top Navigational Bar III (By BrotherCake @ cake@brothercake.net) //Permission granted/modified by Dynamicdrive.com to include script in archive //For this and 100's more DHTML scripts, visit http://www.dynamicdrive.com var wwwbase = "http://www.ivh.au.dk/"; var baseHREF = "http://www.ivh.au.dk/topmenu/"; Publikationsliste - Kirsti Andersen Videnskabelige publikationer “Roberval’s Method of Tangents”, Centaurus “Roberval’s Comparison of the Arclength of a Spiral and a Parabola, Centaurus “A note on Bartholin and the Problem of Debeaune”, Centaurus “An Impression of Mathematics in Denmark in the Period 1600-1800”, Cen­taurus, “Matematikken i Danmark 1479-1800”, Køben­havns Universitet 1479-1979 , bind XII, Køben­havn 1983, 113-156. “The Mathematical Technique in Fermat’s Deduction of the Law of Refraction”, Historia Mathematica “Some Observations Concerning Mathematicians’ Treatment of Perspective Constructions in the 17th and 18th Centuries”, Mathemata, Festschrift für Helmuth Gericke , ed. M. Folkerts et al., Stuttgart 1984, 409-425. “Cavalieri’s Method of Indivisibles”

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