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Topic: Jean-Robert Argand


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 Jean-Robert Argand - Wikipedia, the free encyclopedia
Argand was a man with an unknown background, a nonmathematical occupation, and an uncertain contact with the literature of his time who intuitively developed a critical idea for which the time was right.
Argand is famed for his geometrical interpretation of the complex numbers where i is interpreted as a rotation through 90.
However, Argand was not a professional mathematician either, so when he published his geometrical interpretation of complex numbers in 1806 it was in a book which he published privately at his own expense.
en.wikipedia.org /wiki/Jean-Robert_Argand   (963 words)

  
 CONK! Encyclopedia: Absolute_value
O'Connor, J.J. and Robertson, E.F.; "Jean Robert Argand"
Jean-Robert Argand, is credited with introducing the term "modulus" in 1806, see: Nahin, O'Connor and Robertson, and functions.Wolram.com.
www.conk.com /search/encyclopedia.cgi?q=Absolute_value   (1130 words)

  
 Complex number - Wikipedia, the free encyclopedia
Buée's paper was not published until 1806, in which year Jean-Robert Argand also issued a pamphlet on the same subject.
It is to Argand's essay that the scientific foundation for the graphic representation of complex numbers is now generally referred.
Argand called cosφ + i * sinφ the direction factor, and
en.wikipedia.org /wiki/Complex_number   (3135 words)

  
 Jean Robert Argand Biography / Biography of Jean Robert Argand World of Mathematics Biography
Argand was born in Geneva, Switzerland, on July 18, 1768, to Jacques Argand and Eves Canac.
Argand acknowledged his works by writing an article that was published in a later edition of the same journal.
In 1814, Argand published a proof of the fundamental theorem of algebra, which may be the simplest of all proofs of this theorem.
www.bookrags.com /biography-jean-robert-argand-wom   (468 words)

  
 Argand diagram
It is named for the French amateur mathematician Jean Robert Argand (1768-1822) who described it in a paper in 1806.
A way of representing complex numbers as points on a coordinate plane, also known as the Argand plane or the complex plane, using the x-axis as the real axis and the y-axis as the imaginary axis.
In fact, it wasn't until 1895 that his paper came to the attention of the mathematical community — long after the name "Argand diagram" had stuck.
www.daviddarling.info /encyclopedia/A/Argand_diagram.html   (221 words)

  
 A History of Hypercomplex Numbers
Jean Robert Argand (1768-1822) publishes an account of the graphical representation of complex numbers.
Jean le Rond d'Alembert 's (1717-1783) construction of functions of a complex variable, obtaining what later is called the Cauchy-Riemann equations.
(This work went largely unnoticed and his plane representation today often is called the "Argand" or "Gaussian" plane.)
history.hyperjeff.net /hypercomplex.html   (2046 words)

  
 Argand diagram --  Encyclopædia Britannica
At the start of the 19th century, complex numbers were discussed from a quasi-philosophical standpoint by several French writers, notably Jean Robert Argand.
This interpretation, initially and independently conceived by the Norwegian surveyor Caspar Wessel and the French bookkeeper Jean-Robert Argand (see Argand diagram), was made known to a larger audience of...
The Argand burner consisted of a cylindrical wick housed between two concentric metal tubes.
www.britannica.com /eb/article-9009360?tocId=9009360   (803 words)

  
 Complex Numbers
In 1797, a Norwegian surveyor named Caspar Wessel and in 1806 a Swiss clerk named Jean Robert Argand had results similar to Gauss's, but these went unnoticed for the most part.
Jean D'Alembert used them in hydrodynamics, while Euler, D'Alembert, and Lagrange used them in their incorrect proofs of the fundamental theorem of algebra, which states that every polynomial equation of degree n with complex coefficients has n roots in the complex numbers.
By 1831 Gauss overcame some of his uncertainty about complex numbers and published his work on the geometric representation of complex numbers as points in the plane.
www.und.edu /instruct/lgeller/complex.html   (779 words)

  
 The Hutchinson Dictionary of Scientific Biography: Argand, Jean Robert (1768-1822)@ HighBeam Research
The Hutchinson Dictionary of Scientific Biography: Argand, Jean Robert (1768-1822)@ HighBeam Research
Argand was born in Geneva on 18 July 1768.
Almost nothing is known of his life except that he was working in Paris as a bookseller and living there with his wife, son, and daughter in 1806, the year in which he published his method.
www.highbeam.com /library/doc0.asp?DOCID=1P1:99915683&refid=ip_encyclopedia_hf   (207 words)

  
 Fundamental Theorem of Algebra
Jean Robert Argand published a proof of the FTA and two years later Gauss published a second proof.
This proof has some gaps in it and is not considered rigorous by today's standards.
www.und.edu /dept/math/history/fundalg.htm   (451 words)

  
 Complex_plane
Its creation is generally credited to Jean-Robert Argand, although it was first described by Norwegian-Danish land surveyor and mathematician Caspar Wessel.
Argand diagrams are frequently used to plot the positions of poles and zeros of a function in the complex plane.
The complex plane is sometimes called the Argand plane for its use in Argand diagrams.
www.everybase.com /Complex_plane   (293 words)

  
 more word origins 8
The unnamed mathematician had in fact already published his ieas, for Legendre's friend was Jean Robert Argand.
Argand Diagram Argand Diagrams, the method of drawing complex numbers as vectors on a coordinate plane, are named for Jean R. Argand (1768-1822), an amateur mathematician who described them in a paper in 1806.
Hearing of Francais' paper, Argand immediately sent a communication to Gergonne in which he identified himself as the mathematician in Legendre's letter, called attention to his book, summarized its contents, and finally presented an (unsuccessful) attempt to extend his system to three dimensions.
www.pballew.net /arithme8.html   (6337 words)

  
 PreCalculus
Complex numbers may also be represented as points on an x-y plane called an Argand diagram (Jean Robert Argand, 1768- 1822).
An Argand diagram (also known as the Argand plane) is a plot of complex numbers as points in the complex plane using the x-axis as the real axis and y-axis as the imaginary axis.
Complex numbers can be represented as ordered pairs.
home.att.net /~srschmitt/precalc/precalc-01-01-00.html   (239 words)

  
 Complex Numbers and Geometry
It was not until Jean Robert Argand gave a concrete, geometric picture for this number, which related it to the "real" number line, that mathematicians began to accept i as more than a figment of their imagination, and started to refer to it as a "complex" number, after Gauss popularized the term.
This picture was finally conceived, in 1806 by Jean Robert Argand, and is often called an "Argand diagram".
is only a a rotation by 90º; Argand thought of i in this way (that is, as a rotation by 90º), which led him to conceive of his method of plotting complex numbers.
campus.northpark.edu /math/PreCalculus/Transcendental/Trigonometric/Complex   (2082 words)

  
 Science Math Mathematicians Polish Yellow Pages - Polska - Poland - Polen
Argand - Jean Robert Argand (1768-1822)- Accountant, amateur mathematician, famed for his geometrical interpretation of the complex numbers where i is interpreted as a rotation through 90, gave concept of the modulus of a complex number.
Poncelet - Jean Victor Poncelet (1788-1867)- His development of the pole and polar lines associated with conics led to the principle of duality, applied mechanics to improve turbines and waterwheels more than doubling the efficiency of the waterwheel.
Poincare - Henri Poincare (1854-1912)- ounded the modern qualitative theory of dynamical systems, created topology, The Problem of Three Bodies and the Equations of Equilibrium, the first signs of Chaos
www.yp.pl /ca/26921/Science/Math/Mathematicians   (2154 words)

  
 Topic: complex plane
It is named after the Swiss-born mathematician Jean Robert Argand, one of several people who invented this geometrical representation for complex numbers.
When this point is taken to represent the complex number (x+iy), the plane is called complex plane or Argand diagram.
In a Cartesian coordinate system, a point can be represented using coordinates (x,y).
www.elko.k12.nv.us /webapps/vmd/full/c/complexplane.htm   (55 words)

  
 Jean-Robert Argand
Jean-Robert Argand (July 18, 1768- August 13, 1822) was a non-professional mathematician.
In 1806, he, while managing a bookstore in Paris, published the idea of geometrical interpretation of complex numbers known as the Argand diagram.
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www.sciencedaily.com /encyclopedia/jean_robert_argand   (118 words)

  
 Quaternion References
CARMICHAEL, ROBERT: On Laplace’s equation and the calculus of quaternions.
CARMICHAEL, ROBERT: Laplace’s equation and the calculus of quaternions.
CARMICHAEL, ROBERT: Laplace’s equation, its analogues, and the calculus of imaginaries.
home.att.net /~t.a.ell/QuatRef.htm   (10852 words)

  
 PAPER(leigh).doc
After Argand, the ideas of complex numbers were developed further, notably by the William Rowan Hamilton and Carl Friedrich Gauss in the first half of the 19th century.
This, too, would have disappeared, if one of the men who received the paper had not mentioned it to a friend, who died and whose brother published the ideas in a well-known journal and invited Argand to claim the ideas.
Hence the square root of a positive number is twofold, positive and negative.
education.uncc.edu /cmste/papers/PAPER(leigh).doc   (2225 words)

  
 OEDILF
Jean-Robert Argand first proposed (in 1806) a graphical representation of complex numbers, which is commonly referred to as the complex plane.
The information on this page may not be reproduced in any form without written permission by the.
She pretends that the patterns don't fit her.
www.oedilf.com /db/Lim.php?VerseId=A2872   (96 words)

  
 Jean-Robert Argand History Summary
Home › Sciences › Science History › Jean-Robert Argand
Although Argand was, by profession, an accountant, he performed some high-quality work in mathematics.
mathematics · jean · quality · complex numbers · swiss mathematician · fundamental theorem · accountant · modulus · imaginary components · quality work
www.bookrags.com /history/sciencehistory/jean-robert-argand-scit-05123   (108 words)

  
 The Science Bookstore - Chronology
Argand, A. Oil lamp with ring-shaped wick for bright light for lighthouses Aime Argand
Women in Medicine and Science, 275 entries BUY
www.thesciencebookstore.com /chron.asp?searchstring=Argand   (72 words)

  
 Addenda_for_Glimpses
57 8 This geometric representation of complex numbers is named after Jean Robert Argand in 1806, although nine years before it has been announced by the Norwegian cartographer Caspar Wessell before the Danish Academy of Sciences.
Because of the rational dependence of the old and new coordinates, the rational points on the original curve correspond to rational points on the new curve.
carp.rutgers.edu /gtoth/Glimpses/Addenda_for_Glimpses   (1261 words)

  
 Adrien Marie Legendre
Argand, Jean Robert (1768-1822) (The Hutchinson Dictionary of Scientific Biography)
www.infoplease.com /ce6/people/A0829279.html   (244 words)

  
 18 Jul History: This Date
1768 Jean Robert Argand, Geneva born French mathematician who died on 13 August 1822.
Colonel Robert Gould Shaw and 20 of his soldiers are killed in an assault on Fort Wagner, near Charleston, South Carolina.
1863 Robert Gould Shaw and 20 of his soldiers.
www.safran-arts.com /42day/history/h4jul/h4jul18.html   (10561 words)

  
 MSN Encarta - Dictionary - Argand diagram
Search for "Argand diagram" in all of MSN Encarta
Click here to search all of MSN Encarta
encarta.msn.com /dictionary_561531617_1861586835/nextpage.html   (71 words)

  
 Omniseek: Science and Tech: /Science & Tech /Math /Mathematicians /
Pioneers in the field of calculus, appied the new tool to real problems, life was one of the most controversial of any mathematician, member of the world's most successful mathematical family, also known as Johannes, Jean or John.
Catalogued stars, predicted a planet beyond Uranus as well as the existence of dark stars, investigated Johann Kepler's problem of heliocentricity, and systematized the mathematical functions involved, which now bear his name.
scienceandtech.omniseek.com /search/search.html?%%bW9kZT1PbW5pc2VlayZ0aWQ9Njk0NSZjbnQ9MjUmYmduPTA=   (606 words)

  
 Discontinuous and Optimal Control - Irmgard Flugge-lotz
Jean Gaston Darboux (France, August 14,1842 - February 23,1917)
Jean le Rond d'Alembert (France, 1717 - 1783)
www.vikramasila.org /396175_irmgard-flugge-lotz_1114534544discontinuousandoptimalcontrololdbookssearch.html   (720 words)

  
 Mathematicians
1768- 1822 Argand, Jean-Robert: Introduced geometric representation for complex numbers.
1768- 1830 Fourier, Jean: Developed Fourier series -- series involving trigonometric functions.
oscar.ctc.edu /precalc/history/hist.chap1/mathematicians.html   (453 words)

  
 complex numbers, argand diagrams, cartesian and polar form - mathematics for cynics
Named after, but not invented by, Jean Robert Argand.
that is the argand diagram was not invented by jean louis argand
Complex numbers, the Argand diagram used by Jean Louis Argand
makrobicz.gq.nu   (453 words)

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