This book serves as a guide for understanding and applying quantitative tools for measuring and analyzing micro- and macroeconomic concepts and relationships. The interpretation of these relationships is done using verbal definitions and theorems, algebraic expressions, and/or diagrams.

The purpose of the book is to equip students and researchers in Economic Science with the necessary mathematical skills for understanding, interpreting, and applying modern theories. For this reason, the material of the book approaches economic theories through mathematical concepts, ultimately aiming to familiarize the student with the application of these tools in economic theory.

The content covers, among other topics, matrices and determinants, which are the alphabet for solving various problems as they facilitate the resolution of systems of linear equations. Subsequently, the concept of elasticity is presented with examples and solved exercises for better understanding. Additionally, the method of applying linear systems in economic theory is analyzed in detail.

Furthermore, it covers maxima and minima, with a plethora of examples and applications, the use of partial derivatives in relation to economic theory, total differentials and total derivatives, as well as the maximization/minimization of multivariable functions and the Lagrange method. The material concludes with integrals and difference equations, as well as the application of linear programming.