Algebra

Introduction

This secĀ­tion lists the artiĀ­cles corĀ­reĀ­spondĀ­ing to the study of algeĀ­bra. These artiĀ­cles will have a theĀ­oĀ­retĀ­iĀ­cal part in which we will try to use strict lanĀ­guage to explain the subĀ­ject, equaĀ­tions or graphĀ­ics and then in genĀ­erĀ­al there will be a more relaxed part in which appliĀ­caĀ­tions are shown in the field of proĀ­gramĀ­ming or videogame development.

What is Algebra?

AlgeĀ­bra is the branch of mathĀ­eĀ­matĀ­ics that studĀ­ies the sets of numĀ­bers and the difĀ­ferĀ­ent funĀ­daĀ­menĀ­tal operations. 

Why is it important to study Algebra?

AlgeĀ­bra teachĀ­es us how to operĀ­ate with numĀ­bers, it shows us the basic rules of equaĀ­tions and inequalities. 

HavĀ­ing a good knowlĀ­edge of algeĀ­bra we can use mathĀ­eĀ­matĀ­iĀ­cal modĀ­els and transĀ­form them into what we need to solve our problems.

In proĀ­gramĀ­ming it will help us to corĀ­rectĀ­ly interĀ­pret mathĀ­eĀ­matĀ­iĀ­cal modĀ­els and creĀ­ate algoĀ­rithms to find solutions.

Elementary Algebra

Here we will look at basic conĀ­cepts such as notaĀ­tion, numerĀ­iĀ­cal sets, propĀ­erĀ­ties and eleĀ­menĀ­tary operations.

ArtiĀ­cle on NumerĀ­ic Sets.

NumerĀ­iĀ­cal sets group numĀ­bers into difĀ­ferĀ­ent types conĀ­sidĀ­erĀ­ing the charĀ­acĀ­terĀ­isĀ­tics they have in comĀ­mon. EstabĀ­lishĀ­ing the difĀ­ferĀ­ences that exist between numĀ­bers will help us decide which type of numerĀ­iĀ­cal variĀ­able is the most approĀ­priĀ­ate to use in our code. 

ArtiĀ­cle on CarteĀ­sian System. 

CoorĀ­diĀ­nates are used to posiĀ­tion objects on the stage, eleĀ­ments of the graphĀ­iĀ­cal interĀ­face on the screen, know the posiĀ­tion of the curĀ­sor, among othĀ­ers. KnowĀ­ing the CarteĀ­sian plane and how it is used to graph points and mathĀ­eĀ­matĀ­iĀ­cal funcĀ­tions will be useĀ­ful for examĀ­ple to calĀ­cuĀ­late object trajectories. 

Linear Algebra

This branch studĀ­ies sysĀ­tems of linĀ­ear equaĀ­tions, soluĀ­tion sets, vecĀ­tors and matrices.

ArtiĀ­cle on VecĀ­tors in the plane and in space. 

A mathĀ­eĀ­matĀ­iĀ­cal vecĀ­tor is a tool that allows us to repĀ­reĀ­sent magĀ­niĀ­tudes in which not only the intenĀ­siĀ­ty (or modĀ­ule), but also the direcĀ­tion and direcĀ­tion in which they are applied are important.

Boolean Algebra

LogĀ­iĀ­cal operĀ­aĀ­tions are studĀ­ied here.

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