Hessian Polyhedra, Invariant Theory And Appell Hypergeometric Functions

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.

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 ��′₂₁₆. It provides another beautiful example on the fundamental unity of mathematics.

Get Hessian Polyhedra, Invariant Theory And Appell Hypergeometric Functions by at the best price and quality guaranteed only at Werezi Africa's largest book ecommerce store. The book was published by World Scientific Publishing Co Pte Ltd and it has pages.