That branch of mathematics which treats of the relations and properties of quantity by means of letters and other symbols. It is applicable to those relations that are true of every kind of magnitude.
A treatise on this science.
A branch of mathematics in which variables are substituted for unknown values to solve a particular problem.
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.
area of math dealing in representing numbers with letters Example: x+5=8 solve for x
the branch of mathematics that uses variables to study the relationship between numbers
the mathematics of generalized arithmetical operations
Algebra is a continuation and extension of the rules of arithmetic into a more general level.
The use of symbols, usually letters, to represent numbers so that they can be manipulated without stating their values.
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 branch of mathematics that uses letters, symbols, and/or characters to represent numbers and express mathematical relationships. Those symbols are called bvariables/b.
A continuation of arithmetic in which letters and symbols are used to represent definite quantities whose actual values may or may not be known.
The branch of mathematics that is the generalization of the ideas of arithmetic.
A part of mathematics in which signs and letters represent numbers.
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 systematic study of number systems using symbolic formulae involving variables see also: abstract algebra computer algebra
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.
Algebra is a branch of mathematics concerning the study of structure, relation and quantity. The name is derived from the treatise written by the Persian mathematician titled (in Arabic ÙƒØªØ§Ø¨ Ø§Ù„Ø¬Ø¨Ø± ÙˆØ§Ù„Ù…Ù‚Ø§Ø¨Ù„Ø© )Al-Kitab al-Jabr wa-l-Muqabala (meaning "The Compendious Book on Calculation by Completion and Balancing"), which provided symbolic operations for the systematic solution of linear and quadratic equations.
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.