Logarithms and Antilogarithms

By Danuta Przeworska-Rolewicz

Subjects: Functional equations, Mathematics, Differential Equations, Functional analysis, Differential equations, partial, Operator theory

Description: This volume proposes and explores a new definition of logarithmic mappings as invertible selectors of multifunctions induced by linear operators with domains and ranges in an algebra over a field of characteristic zero. Several important previously published results are presented. Amongst the applications of logarithmic and antilogarithmic mappings are the solution of linear and nonlinear equations in algebras of square matrices. Some results may also provide numerical algorithms for the approximation of solutions. Audience: Research mathematicians and other scientists of other disciplines whose work involves the solution of equations.