ALGEBRA is the branch of mathematics that deals with general statements of relations by making use of letters and other symbols to represent specific sets of numbers, values, etc., in the description of such relations.

One of the main object of Algebra is solving equations. It is impossible to overemphasize the great importance of equations in mathematics, physics, engineering sciences, and so on - not to mention about our day-to-day activity.

Sometimes we solve very simple equations, for instance, when we estimate the area of a garden or the cost of repairing a car. To perform similar calculations we need only arithmetic operations. However, in order to calculate interest on deposits, we need special skills. Only simple problems are described by simple equations.

Equations gave the origin for many mathematical conceptions such as, for example, irrational or complex numbers.
Some physical laws were discovered because of the corresponding equations had been guessed.

Many important math conceptions are originated by elementary arithmetic operations which contain constructive examples of applying a mathematical process to quantities.
In particular, the conception of inverse function is the development of the conception of inverse operations such as addition-subtraction or multiplication-division. Performing algebraic transformations or solving equations and inequalities, we apply the rules based on properties of real numbers.

Start from the beginning. If the topic is too simple for you, skip it and pass on to the next problem.

Index Real Numbers Complex Numbers Exponentiation Algebraic Transformations Algebraic Equations and Ineualities Functions Discrete Algebra Basic Formulas Graphics of Basic Functions