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Hessian polyhedra, invariant theory, and Appell hypergeometric functions

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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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Product Details
981320947X / 9789813209473
Hardback
516.156
03/05/2018
Singapore
English
viii, 308 pages : illustrations (black and white)
25 cm
Professional & Vocational/Tertiary Education (US: College) Learn More