To write in latex in mathematical language you need a base. In this section you will find the basic commands to write the main operations. Below there is a list of the topics we will touch.

A fraction is a way to express a quantity based on the division of an object in a certain number of parts of the same dimension. It is composed of a numerator, which represents the part respect to the total, represented by the denominator.
In order to write a fraction in LaTeX you have to use the command \frac{a}{b}, where a is the numerator and b is the denominator.

The exponentiations is an operation that associates to a pair of numbers a and n, called respectively base and exponent, the number given by the product of n factors equal to a. This function can also be used as superscript of something.
In LaTeX we write a^{b}, where a is the base and b the exponent.

Often in mathematics, as in other fields, the subscripts are used to indicate a certain value or a certain constant.
We write a_{b} in LaTeX, where a is the base number and b is the subscript.

An n^th root of a number x, where n is usually assumed to be a positive integer, is a number r which, when raised to the power n yields x: rⁿ = x, where n is the degree of the root.
In LaTeX the \sqrt{x} command allows you to write the square root of a number x. Instead if you want to write the n^th root of any number you can use the command \sqrt[a]{b}, where a is the root degrees and b is the root number.

The logarithm of a number in a certain base is the exponent to which the base must be elevated to obtain the same number.
We write \log_{a}b in LaTeX in order to indicate the logarithm to base a of b.

The summation is a mathematical symbol that shortens, in a synthetic notation, the sum of a certain set of addends. It is composed by the symbol Σ, the summation index, the two lower and higher limits and a function.
In LaTeX we write \sum_{b}^{x=a}f(k), that is, the summation for x ranging from a to b of f(k).

Similarly, the product is a symbol that shortens the multiplication of a number of factors into a synthetic notation. It is composed by the symbol Π, the product index, the two lower and higher limits and a function.
To build a product in LaTeX we write \prod_{b}^{x=a}f(k), which means the product for x ranging from a to b of f(k).

The concept of limit serves to describe the course of a function as its subject approaches to a given value.
In LaTeX we write \lim_{a \to b} to say that the value of a is getting closer and closer to b. The command \to is used to build the arrow that leads a to b.

The derivative is the measure of how much the growth of a function changes as its argument changes.
We use this syntax in LaTeX: \frac{\mathrm{d} f}{\mathrm{d} x}, where f is the function that we want to derive.

The integral is an operator that, in the case of a function of a single variable, associates to the function the area under the graph within a given interval [a, b] in the domain.
There are two type of integrals: the undefided and the defined. In LaTeX we write the first as \int and the second as \int_{a}^{b}, where a is the beginning of the considered graph and b the end.