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OverviewFull Product DetailsAuthor: Jeremy GrayPublisher: Birkhauser Verlag AG Imprint: Birkhauser Verlag AG Edition: 2nd Revised edition ISBN: 9783764338374ISBN 10: 3764338377 Pages: 384 Publication Date: January 2000 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Replaced By: 9780817638375 Format: Hardback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of ContentsHypergeometric equations and modular equations - Euler and Gauss, Jacobi and Kummer, Riemann's approach to complex analysis, Riemann's P-function, interlude -Cauchy's theory of differential equations; Lazarus Fuchs - Fuchs's theory of linear equations, generalisation of the hypergeometric equation, conclusion, the new methods of Frobenius and other; algebraic solutions to a differential equation -Scharz, generalisations, Klein and Gordan, the solutions of Gordan and Fuchs, Jordan's solution, equations of higher order; modular equations - Fuchs and Hermite, Dedekind, Galois theory, groups and fields, the Galois theory of module equations, c.1858, Klein; some algebraic curves - algebraic curves, particularly quartics, function-theoretic geometry, Klein; automorphic functions - Lame's equation, Poincare, Klein, 1881, Klein's response, Poincare's papers of 1883 and 1884. Appendices: Riemann, Schottky, and Schwarz on conformal representation; Riemann's lectures and the Riemann-Hilbert problem; Fuchs's analysis of the nth order equation; on the history of non-Euclidean geometry; the uniformisation theorem; Picard-Vessiot theory; the hypergeometric equation in several variables - Appell and Picard. Notes on chapters and appendices. Bibliography.ReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
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