Groups just have one binary operation. To fully explain the behaviour of the different types of numbers, structures with two operators need to be studied. The most important of these are rings, and fi ...
Combining the above concepts gives one of the most important structures in mathematics: a group. A group is a combination of a set S and a single binary operation ?, defined in any way you choose, bu ...
Abstract algebra extends the familiar concepts found in elementary algebra and arithmetic of numbers to more general concepts. Here are listed fundamental concepts in abstract algebra.Sets: Rather tha ...
Elementary algebra is the most basic form of algebra. It is taught to students who are presumed to have no knowledge of mathematics beyond the basic principles of arithmetic. In arithmetic, only numbe ...
Areas of mathematics:Elementary algebra, the part of algebra that is usually taught in elementary courses of mathematics.Abstract algebra, in which algebraic structures such as groups, rings and field ...
Prehistory of algebra A page from Al-Khwārizmī's al-Kitāb al-mu?ta?ar fī ?isāb al-?abr wa-l-muqābalaThe roots of algebra can be traced to the ancient Babylonians, who developed an advanced a ...
The word algebra comes from the Arabic language (????? al-jabr "restoration") from the title of the book Ilm al-jabr wa'l-mu?ābala by al-Khwarizmi. The word entered the English language during ...
Algebra began with computations similar to those of arithmetic, with letters standing for numbers. This allowed proofs of properties that are true no matter which numbers are involved. For example, in ...
For historical reasons, the word "algebra" has several related meanings in mathematics, as a single word or with qualifiers. Such a situation, where a single word has many meanings in the same area of ...
Algebra (from Arabic al-jebr meaning "reunion of broken parts") is one of the broad parts of mathematics, together with number theory, geometry and analysis. As such, it includes everything from eleme ...
