Algebraic structures are fundamental mathematical entities defined by sets equipped with operations that satisfy specific axioms, such as groups, rings, and fields. Function spaces, by contrast, are ...

The Symbolic Algebra Coding Examples repository is a collection of examples showcasing the capabilities of various symbolic algebra systems. The repository contains code snippets and scripts that ...

The oldest mathematics journal in the Western Hemisphere in continuous publication, the American Journal of Mathematics ranks as one of the most respected and celebrated journals in its field.

Linear Algebra plays a pivotal role in image processing, enabling various matrix operations that profoundly impact image quality and manipulation. This research investigates the application of matrix ...

Abstract: Several methods of solving the algebraic Riccati equation (ARE) are presented. Functional iterations with acceleration techniques am introduced. Also variations of the Newton method, the ...

IN discussing algebraic curves and surfaces we have the choice of several distinct methods. Some authors rely upon Cremona transformations, by which the curve or surface is brought into correspondence ...

ABSTRACT: This paper unfolds and reviews the theory of abstract algebra, field extensions and discusses various kinds of field extensions. Field extensions are said to be algebraic or transcendental.