Jean-Robert Argand
Jean-Robert Argand (, francés:[ʒɑ̃ ʁɔbɛʁ aʁɡɑ̃]; 18 de julio de - 13 de agosto de ) fue un matemático aficionado de Ginebra. En , mientras dirigía una librería en París, publicó la idea de la interpretación geométrica de números complejos conocida como diagrama de Argand y es conocido por la primera demostración rigurosa del teorema fundamental del álgebra.
Vida
Jean-Robert Argand nació en Ginebra, entonces República de Ginebra, hijo de Jacques Argand y Eve Carnac. Sus antecedentes y educación son en su mayoría desconocidos. Dado que su conocimiento de las matemáticas fue autodidacta y no pertenecía a ninguna organización matemática, probablemente se dedicó a las matemáticas como un pasatiempo más que como una profesión.
Argand se mudó a París en con su familia y, al gestionar una librería allí, publicó privadamente su Essai sur une manière de représenter les quantités imaginaires dans les constructions géométriques (Ensayo sobre un método de representación de cantidades imaginarias). En , fue repetida en la revista francesa Annales de Mathématiques. El ensayo discutió un método de graficar números complejos a través de la geometría analítica. Prop
Jean-Robert Argand
Jean-Robert Argand, a name that might not be familiar to many, but a person whose contribution to the world of mathematics cannot be overlooked. Argand was not a professional mathematician, but an amateur who revolutionized the understanding of complex numbers with his innovative idea of the Argand diagram.
Born on July 18, , in Geneva, the Republic of Geneva, Argand spent most of his life in France, managing a bookstore in Paris. While working in his bookstore, he published his idea of the Argand diagram in , a geometrical interpretation of complex numbers. The Argand diagram was a breakthrough in the field of mathematics, as it provided a visual representation of complex numbers that were previously considered abstract and difficult to understand.
Argand's diagram consists of a Cartesian plane, with the horizontal axis representing the real part of the complex number and the vertical axis representing the imaginary part. This simple yet elegant representation of complex numbers opened up a new way of understanding them, making them more accessible to mathematicians and scientists.
But Argand's contributions to mathematics didn't stop there. He is also
ジャン=ロベールアルガンはフランスの会計士です趣味で数学を楽しむアマチュア数学者でしたが複素平面の最初の公表者として知られています
複素平面
xy平面上においてx 軸を実軸y 軸を虚軸として複素数 x + iy を表せるようにしたものを複素平面と呼びます
複素平面はガウスの業績として広く知られていますが年にノルウェーの測量技師カスパーヴェッセルが方程式の解析的表現についてという論文の中で複素平面のアイデアを述べていますしかしこの論文はデンマーク語で書かれていたために広く世に知られることはありませんでした
その後年にアルガンが自費出版の冊子幾何学的作図によって虚量を表す方法についての試論の中で複素平面のアイデアを発表しフランスの数学者アドリアンマリルジャンドルを通して広まりました
更に後にはドイツの数学者カールフリードリッヒガウスが複素平面を本格的に論じたことにより複素平面は広く知られるようになりました
複素平面はガウス平面やアルガン図とも呼ばれています
ジャン=ロベールアルガンに関する備考
Jean Robert Argand
生没年年7月18日年8月13日
生まれスイスジュネーヴ
父不明
母不明
主な著書幾何学的作図によって虚量を表す方法についての試論
Jean-Robert Argand - Life
Life
Jean-Robert Argand was born in Geneva, Switzerland to Jacques Argand, his father, and Eve Carnac, his mother. His background and education are mostly unknown. Since his knowledge of mathematics was self-taught and he did not belong to any mathematical organizations, he likely pursued mathematics as a hobby rather than a profession.
Argand moved to Paris in with his family and, when managing a bookshop there, privately published his Essai sur une manière de représenter les quantités imaginaires dans les constructions géométriques (Essay on a method of representing imaginary quantities). In , it was republished in the French journal Annales de Mathématiques. The Essay discussed a method of graphing complex numbers via analytical geometry. It proposed the interpretation of the value i as a rotation of 90 degrees in the Argand plane. In this essay he was also the first to propose the idea of modulus to indicate the magnitude of vectors and complex numbers, as well as the notation for vectors . The topic of complex numbers was also being studied by other mathematicians, notably Carl Friedrich Gauss and Caspar Wessel. Wessel's paper on a simil
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