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Lei Yang 
HESSIAN POLYHEDRA, INVARIANT THEO & APPELL HYPERGEOME FUNCT [EPUB ebook] 

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Our book gives the complex counterpart of Klein’s classic book on the icosahedron. We show that the following four apparently disjoint theories: the symmetries of the Hessian polyhedra (geometry), the resolution of some system of algebraic equations (algebra), the system of partial differential equations of Appell hypergeometric functions (analysis) and the modular equation of Picard modular functions (arithmetic) are in fact dominated by the structure of a single object, the Hessian group $mathfrak{G}’_{216}$. It provides another beautiful example on the fundamental unity of mathematics.

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Language English ● Format EPUB ● Pages 316 ● ISBN 9789813209497 ● File size 68.9 MB ● Publisher World Scientific Publishing Company ● City Singapore ● Country SG ● Published 2018 ● Downloadable 24 months ● Currency EUR ● ID 6545661 ● Copy protection Adobe DRM
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