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Alexander Macfarlane American Mathematical applications argued Ausdehnungslehre Bucherer Bulletin Burali-Forti Calcolo Calculus Cambridge Cargill Gilston Knott Carl Friedrich Gauss Cartesian Cayley Centenary Volume London chapter concluded debate discussion Edinburgh Mathematical Society edition Electrical Papers Electrician Electromagnetic Theory Foppl Gauss Geometrische Geometry Gibbs and Heaviside Gibbs-Heaviside system Gibbs's Grassmann tradition Grassmann's system Grassmannian Heaviside's Hermann Grassmann ideas important Jahnke Jahrbuch uber Josiah Willard Gibbs Knott Leipzig linear vector function Macfarlane's major Marcolongo Mathe mathematician mathematische matical Maxwell Maxwell's McAulay's modern system modern vector analysis multiple algebra Nature notation Oliver Heaviside Paris Peter Guthrie Tait Philosophical Magazine physicists presented Proceedings Prof published quaternion methods quaternion system Review Richard Gans Royal Irish Academy Royal Society scalar and vector Science Scientific Sir William Rowan Somoff statement symbolism system of vector Tait's Treatise on Quaternions vector methods vector products vectorial system vettoriali Werke William Rowan Hamilton Wilson writing York