Logarithms and Antilogarithms: An Algebraic Analysis Approach

By Danuta Przeworska-Rolewicz

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 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.

• Format: Hardcover
• Language: English
• ISBN: 0792349741
• ISBN13: 9780792349747
• Release Date: March 1998
• Publisher: Springer
• Length: 357 Pages
• Weight: 1.53 lbs.
• Dimensions: 0.9" x 6.1" x 9.2"