Titlebook: Linear Differential Equations and Group Theory from Riemann to Poincare; Jeremy J. Gray Textbook 2008Latest edition Birkhäuser Boston 2008

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n included . (from fols. 114–120). Actually, he does omit the necessary flats in alto and bass at mm. 503 and 553 of the “true sixth mode” piece (fols. 116v.–117), as well as the necessary sharp in the tenor at meas. 573. Sharps are needed at mm. 383 (alto) and 534 (tenor) of the “eighth mode” piece

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ore fitting is it, then, to have completed this monograph in a part of the Spanish Indies that was stirring every Andalusian‘s imagination during the days when he was first sending his books across the Atlantic. In every way his was a remarkable personality. He was the first to compose and publish a

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Lazarus Fuchs, the elementary theory of linear differential equations in the complex domain: the analysis of singular points; the nature of a basis of . linearly independent solutions to an equation of degree . when there are repeated roots of the indicial equation; explicit forms for the solution according to th

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Algebraic Solutions to a Differential Equation,solve it for 3rd and 4th order equations, thus providing the first successful treatment of the higher order cases, and to prove a general finiteness theorem for the .th order case (Jordan’s finiteness theorem). Later Fuchs and Halphen were able to treat some of these cases invariant-theoretically.