Hessian Polyhedra, Invariant Theory and Appell Hypergeometric Functions (Hardcover) (ISBN-13: 9789813209473)

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.

Author: Lei Yang
ISBN-10: 981320947X
ISBN-13: 9789813209473
Publisher: World Scientific Publishing Company
Language: English
Published: 05/03/2018
Pages: 316
Format: Hardcover
Weight: 1.56lbs
Size: 9.61h x 6.69w x 0.75d