## A History of Vector Analysis: The Evolution of the Idea of a Vectorial SystemThe first large-scale study of the development of vectorial systems, awarded a special prize for excellence in 1992 from France’s prestigious Jean Scott Foundation. Traces the rise of the vector concept from the discovery of complex numbers through the systems of hypercomplex numbers created by Hamilton and Grassmann to the final acceptance around 1910 of the modern system of vector analysis. Concentrates on vector addition and subtraction, the forms of vector multiplication, vector division (in those systems where it occurs), and the specification of vector types. |

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applications Ausdehnungslehre Bellavitis Benjamin Peirce calculus Cargill Gilston Knott Cartesian Cauchy chapter Clifford complex numbers conceming concept deﬁned deﬁnition discovery discussed E. T. Whittaker edition electricity elementary Elements entitled equations ﬁeld ﬁgures ﬁnal ﬁnd ﬁrst Gauss geometrical representation Gibbs and Heaviside Giusto Bellavitis Grassmann Grassmannian Heaviside's Hermann Hermann Grassmann history of vector important inﬂuenced interest in quatemions introduced Josiah Willard Gibbs joumal Knott Leibniz Leipzig letter linear vector function Macfarlane magnitudes mathe mathematical mathematician Maxwell Maxwell's McAulay Mobius modem system modem vector analysis multiple algebra nions notation Oliver Heaviside outer product paper Peirce Peter Guthrie Tait physical presentation publication published quatemion analysis quatemion methods quatemion system quatemionists quater representation of complex Saint-Venant scientiﬁc signiﬁcance Sir William Rowan statement symbol system of vector Tait's theorems theory tion Treatise on Quatemions vector product vectorial methods vectorial system Willard Gibbs William Rowan Hamilton writings wrote