Algebra, it is a branch of mathematics in which symbols (usually letters) represent unknown numbers in mathematical equations. Algebra provides the basic arithmetic operations like addition, subtraction and multiplication, which is carried out without the use of certain numbers. People use algebra in everyday lives, for everything from calculating the amount of flour needed to bake some cookies to know how long it is to drive the car on speed to a destination that is a specific distance.
The arithmetic is not enough to share with mathematical relationships, such as the Pythagorean Theorem that the sum of the squares of the lengths of the shorter sides of a triangle the square of the length of the long side corresponding to states to overcome. It can express the arithmetic mean of specific instances of these relations. A triangle with sides of length 3, 4 and 5, for example, the conditions of the sentence: 32 42 = 52 (32 classes of 3 multiplied by itself and is called "three squared".) Algebra is not limited to the expression of specific cases, but it can be a general statement about all possible values that can meet certain conditions, in this case the proposition:
a2 b2 = c2
This article focuses on the classical algebra, which deals with the solution of equations, symbols are used to create ways to manipulate symbols rather than specific numbers and arithmetic operations. The word algebra is also used to describe, however, several modern designs, more abstract mathematics, the symbols, but are not necessarily numbers. Mathematicians consider modern algebra a set of objects with rules for changing or against them. As such, in its broadest form the algebra can be described as the language of mathematics.