A branch of mathematics that substitutes letters for numbers. An algebraic equation represents a scale, what is done on one side of the scale with a number is also done to the other side of the scale. The numbers are the constants.
comes from a book written in Arabic that revolutionized how mathematics was done in western cultures. "Al-jebr w'al-mugabalah" written by Abu Ja'far Ben Musa (about 825 AD) who was also known as al-Khowarizmi. He is as famous among Arabs as Euclid and Aristotle are to the Western World. He was probably the greatest living mathematician of his period. The phrase Al-jebr at the start of the title became the word Algebra in western languages. The phrase means "the reunion of broken parts". Abu Ja'far Ben Musa is often mistakenly listed as an Arab mathematician, but was in fact Persian, and Khowarizmi refers to the area which was his home. Modern scholars believe he was born near the Aral sea in what is now Turkestan. The literal translation of his name means "father of Jafar and Son of Musa, from Khowarizmi."
Algebra is the study of generalized arithmetic. In algebra, unknown numbers can be represented by letters in order to solve equations. For example, 4 + x = 10 is true for x=6. Algebra (originally called al-jabr) was invented in the Middle East by Abu Ja'far Muhammad ibn Musa Al-Khwarizmi (born in Baghdad about AD 825) during the Middle Ages.
The study of general methods for solving equations. The Algebra Standard emphasizes relationships among quantities, including functions, ways of representing mathematical relationships, and the analysis of change. Algebra is about abstract structures and using the principles of those structures in solving problems expressed with symbols.
In mathematics, specifically in ring theory, an algebra over a commutative ring is a generalization of the concept of an algebra over a field, where the base field K is replaced by a commutative ring R.