For the modern history of algebra, see Abstract algebra § History.
Algebra can essentially be considered as doing computations similar to those of arithmetic but with non-numerical mathematical objects. However, until the 19th century, algebra consisted essentially of the theory of equations. For example, the fundamental theorem of algebra belongs to the theory of equations and is not, nowadays, considered as belonging to 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 the theory of equations, called here "algebra", from the origins to the emergence of algebra as a separate area of mathematics.
and 23 Related for: History of algebra information
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 the branch of mathematics that studies algebraic structures and the manipulation of statements within those structures. It is a generalization...
Algebraic geometry is a branch of mathematics which uses abstract algebraic techniques, mainly from commutative algebra, to solve geometrical problems...
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...
mathematics, more specifically algebra, abstract algebra or modern algebra is the study ofalgebraic structures. Algebraic structures include groups, rings...
mathematical logic, Boolean algebra is a branch ofalgebra. It differs from elementary algebra in two ways. First, the values of the variables are the truth...
following is a timeline of key developments ofalgebra: Mathematics portal Historyofalgebra – Historical development ofalgebra Anglin, W.S (1994). Mathematics:...
In the historyof mathematics, Egyptian algebra, as that term is used in this article, refers to algebra as it was developed and used in ancient Egypt...
such as full development of the decimal place-value system to include decimal fractions, the first systematised study ofalgebra, and advances in geometry...
{b^{2}-4ac}}}{2a}}}}}} Elementary algebra, also known as college algebra, encompasses the basic concepts ofalgebra. It is often contrasted with arithmetic:...
and algebraic description of models appropriate for the study of various logics (in the form of classes ofalgebras that constitute the algebraic semantics...
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...
of and topical guide to algebra: Algebra is one of the main branches of mathematics, covering the study of structure, relation and quantity. Algebra studies...
algebra (also known as a Clifford algebra) is an extension of elementary algebra to work with geometrical objects such as vectors. Geometric algebra is...
In algebra, the theory of equations is the study ofalgebraic equations (also called "polynomial equations"), which are equations defined by a polynomial...
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...
which one or more of the terms is a stochastic process Formula Historyofalgebra Indeterminate equation List of equations List of scientific equations...
284/298 AD) in the 3rd century AD. It is a collection of 130 algebraic problems giving numerical solutions of determinate equations (those with a unique solution)...
Archived from the original on 2021-04-13. Retrieved 2020-11-22. See Historyofalgebra. Holme, Ingrid (2008). "Hearing People's Own Stories". Science as...
In mathematics, the exterior algebra or Grassmann algebraof a vector space V {\displaystyle V} is an associative algebra that contains V , {\displaystyle...
Universal algebra (sometimes called general algebra) is the field of mathematics that studies algebraic structures themselves, not examples ("models") of algebraic...
Global Information