algebra (in fact, every proof must use the completeness of the real numbers, which is not an algebraic property). This article describes the history of...

Algebra is a branch of mathematics that deals with abstract systems, known as algebraic structures, and the manipulation of expressions within those systems...

Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems...

C∗-algebra (pronounced "C-star") is a Banach algebra together with an involution satisfying the properties of the adjoint. A particular case is that of a...

In mathematics, more specifically algebra, abstract algebra or modern algebra is the study of algebraic structures, which are sets with specific operations...

and algebraic description of models appropriate for the study of various logics (in the form of classes of algebras that constitute the algebraic semantics...

In mathematics, a ring is an algebraic structure consisting of a set with two binary operations called addition and multiplication, which obey the same...

In the history of mathematics, Egyptian algebra, as that term is used in this article, refers to algebra as it was developed and used in ancient Egypt...

Levantine state of Ebla began using arithmetic, algebra and geometry for purposes of taxation, commerce, trade and also in the field of astronomy to record...

rings, and fields. Pre-algebra Elementary algebra Boolean algebra Abstract algebra Linear algebra Universal algebra An algebraic equation is an equation...

of an equation, that is, the cancellation of like terms on opposite sides of the equation), he has been described as the father or founder of algebra...

Linear algebra is the branch of mathematics concerning linear equations such as a 1 x 1 + ⋯ + a n x n = b , {\displaystyle a_{1}x_{1}+\cdots +a_{n}x_{n}=b...

French mathematician whose work on new algebra was an important step towards modern algebra, due to his innovative use of letters as parameters in equations...

following is a timeline of key developments of algebra: Mathematics portal History of algebra – Historical development of algebra Archibald, Raymond Clare...

mathematical logic, Boolean algebra is a branch of algebra. It differs from elementary algebra in two ways. First, the values of the variables are the truth...

In algebra, the theory of equations is the study of algebraic equations (also called "polynomial equations"), which are equations defined by a polynomial...

mathematical treatise on algebra written in Baghdad around 820 by the Persian polymath Al-Khwarizmi. It was a landmark work in the history of mathematics, with...

computer algebra, also called symbolic computation or algebraic computation, is a scientific area that refers to the study and development of algorithms...

of a finite-dimensional unital algebra over the field of real numbers. The study of hypercomplex numbers in the late 19th century forms the basis of modern...

Arithmetica in thirteen books, ten of which are still extant, made up of arithmetical problems that are solved through algebraic equations. Although Joseph-Louis...

{b^{2}-4ac}}}{2a}}}}}} Elementary algebra, also known as high school algebra or college algebra, encompasses the basic concepts of algebra. It is often contrasted...

is typically a non-associative algebra. However, every associative algebra gives rise to a Lie algebra, consisting of the same vector space with the commutator...

Awakening (1954), Sources of Quantum Mechanics (1967), Geometry and Algebra in Ancient Civilizations (1983), and A History of Algebra (1985). Van der Waerden...

Universal algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structures themselves, not examples ("models") of algebraic...

Algebraic notation is the standard method of chess notation, used for recording and describing moves. It is based on a system of coordinates to identify...

November 2020. {{cite book}}: ISBN / Date incompatibility (help) See History of algebra. Holme, Ingrid (2008). "Hearing People's Own Stories". Science as...

second volume of Siddhānta Śiromaṇi. It is divided into six parts, contains 213 verses and is devoted to algebra. Gaṇitādhyāya and Golādhyāya of Siddhānta...

Victor J.; Parshall, Karen Hunger (2014). Taming the Unknown: A History of Algebra from Antiquity to the Early Twentieth Century. Princeton University...

developments of the period include extension of the place-value system to include decimal fractions, the systematised study of algebra and advances in...

The history of representation theory concerns the mathematical development of the study of objects in abstract algebra, notably groups, by describing these...