Algebra provides a set of reasoning methods related to the mathematical objects being considered. Therefore, algebra is made up of a set of objects on which internal and external operations determined by axioms are defined. The list of algebras includes Boolean algebra, the algebra of functions, the algebra of sets, the algebra of propositions, etc.
The term algebra is believed to have first been used in the title of a book written during the Middle Ages (around 825 CE) by a Persian mathematician whose name was Muhammad Ibn Mūsā al-Khuwārizmī and after whom the term algorithm. was named. The book, which presented work based on that of Greek and Egyptian mathematicians, was entitled Al-jabr wa’l-muqqâbalah; the first words of the title, al-jabr, mean “restoration” or “reunion of broken parts”.