Concise review of what high school and beginning college students need to know to solve problems in logarithms and exponential functions. Presents rigorously tested examples and coherent explanations in an easy-to-follow format. 2015 edition.

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. 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. This book will be of interest to research mathematicians and other scientists of other disciplines whose work involves the solution of equations.