Algebra is the discipline of pure mathematics that is concerned with the study of the abstract properties of a set, once this is endowed with one or more operations that respect certain rules (axioms) ...

Algebraic methods have emerged as powerful alternatives to conventional coordinate-based approaches for the analysis of molecular vibrational dynamics. By employing group-theoretical frameworks and ...

Analysis and application of numerical methods for solving large systems of linear equations, which often represent the bottleneck when computing solutions to equations arising in fluid mechanics, ...

In this video, I compare three methods for dividing polynomials: factoring, long division, and synthetic division. We explore how to divide polynomials by factoring, performing long division of ...

Basic linear algebra methods including basic matrix/vector operations, solution of linear systems of equations, eigenvalues, and singular values. Focus will be on applications of the methods on a ...