Logarithms and Antilogarithms
Subtitle: An Algebraic Analysis Approach
By: by Danuta Przeworska-Rolewicz
Series: Mathematics and Its Applications -- 437; Mathematics and Its Applications -- 437
Publisher: Springer Netherlands
Published: 1998
Place of publication: Dordrecht
Language: eng
Format: [electronic resource] :
Number of pages: 357
ISBN-13: 9789401061940; 9789401152129
Subjects: Differential Equations; Functional equations; Functional analysis; Mathematics; Operator theory; Differential equations, partial
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.
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