Titlebook: Differential Equations and Group Theory from Riemann to Poincare; Jeremy Gray Book 19861st edition Birkh?user Boston 1986 ordinary differe

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Algebraic Solutions to a Differential Equation,n the 1870’s and 1880’s. First, Schwarz solved the problem for the hypergeometric equation. Then Fuchs solved it for the general second-order equation by reducing it to a problem in invariant theory and solving that problem by . means. Gordan later solved the invariant theory problem directly. But F

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Some Algebraic Curves,erent guises as: the 28 bi-tangents to a quartic curve, the study of a Riemann surface of genus 3 and its group of automorphisms, and the reduction of the modular equation of degree 8. These studies, which began separately, were drawn together by Klein in 1878 and proved crucial to his discovery of

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Automorphic Functions,phic functions. These developments brought together the theory of linear differential equations and the group-theoretic approach to the study of Riemann surfaces, so this account draws on all of the preceding material. It begins with a significant stage intermediate between the embryonic general the

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https://doi.org/10.1007/978-1-4899-6672-8ordinary differential equations

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Overview: 978-1-4899-6672-8