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Timeline (based on Michael J. Crowe's History of Vectors talk) 1545: Girolamo Cardano, [create Ars Magna]: [create Complex Number]s 1679: Gottfried Leibniz, Letter1: Geometry of Position 1687: [create Isaac Newton], Principia Mathematica: Parallelogram of Forces 1799: [create Caspar Wessel]: Geometrical Representation of [create Complex Number]s 1799: Carl Friedrich Gauss: ditto, publishes results in 1831. 1806: [create Jean Robert Argand], [create Abbé Buée] (ind.): ditto. 1828: [create John Warren], [create C. V. Mourey] (ind.): ditto. 1831: Gauss (see above); the idea finally attracts wide-spread attention. 1835: [create Giusto Bellavitis]: Equipollences 1837: [create William Hamilton]: Complex Numbers as ordered couples. 1840: Hermann Grassmann, Theorie der Ebbe und Flut: Spatial Analysis2 1841: Hamilton: [create Quaternion]s 1844: Grassmann: [create Die lineale Ausdehnungslehre]3 1846: Hamilton introduces the terms scalar and vector. 1853: Hamilton: [create Lectures on Quaternions] 1853: [create Augustin Cauchy]: Publishes results eerily similar to Grassmann's. 1862: Grassmann republishes his work as [create Die Ausdehnungslehre]4 1867: [create Peter Guthrie Tait], Elementary Treatise of Quaternions: Physical Applications 1867: Tait & [create William Thomson]: [create Treatise on Natural Philosophy] 1 To [create Christiaan Huygens]. 2 Contains equivalents to the modern outer and inner products ("linear product"). 3 Möbius: "unreadable", Baltzer: "[makes me feel] dizzy and to see sky blue before my eyes" &c.; not a great success. 4 Grassmann, 1877: "This new work met with even less attention than the first." |
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