ALGEBRAIC Meaning and
Definition
-
The term "algebraic" refers to anything related to or originating from algebra, a branch of mathematics that deals with mathematical symbols and the rules for manipulating these symbols to solve equations and analyze mathematical structures. It encompasses the study of algebraic operations, equations, functions, and structures.
In an algebraic context, something is considered "algebraic" if it involves the use of algebraic techniques or concepts. For example, an "algebraic equation" is a mathematical equation involving one or more variables and algebraic operations, such as addition, subtraction, multiplication, division, and exponentiation. The process of solving these equations using algebraic methods is often called "algebraic manipulation" or "algebraic solving."
Similarly, an "algebraic function" is a mathematical function that can be expressed using algebraic operations and algebraic equations. These functions can be represented by algebraic expressions, which are composed of variables, constants, and algebraic operations.
Beyond equations and functions, the term "algebraic" also extends to the study of algebraic structures and their properties. For instance, an "algebraic group" is a set with a binary operation that satisfies certain algebraic properties, such as associativity, identity element, and inverse element. Algebraic structures such as rings, fields, and vectorspaces are also classified by their algebraic properties.
Overall, the term "algebraic" pertains to anything within the domain of algebra, encompassing equations, functions, structures, operations, and techniques involved in manipulating and analyzing mathematical symbols using algebraic methods.
-
Etymological and pronouncing dictionary of the English language. By Stormonth, James, Phelp, P. H. Published 1874.
Top Common Misspellings for ALGEBRAIC *
* The statistics data for these misspellings percentages are collected from over 15,411,110 spell check sessions on www.spellchecker.net from Jan 2010 - Jun 2012.
Other Common Misspellings for ALGEBRAIC
Etymology of ALGEBRAIC
The word "algebraic" has its roots in the Latin word "algebra", which itself was derived from the Arabic term "al-jabr". "Al-jabr" was the title of a book written by the Persian mathematician and astronomer Muhammad ibn Musa al-Khwarizmi in the 9th century.
The term "al-jabr" translates to "reunion of broken parts" or "restoration", referring to the process of solving equations by combining like terms and isolating variables. Al-Khwarizmi's book introduced the concepts of manipulating equations and working with unknown quantities, laying the foundation for algebra as a distinct branch of mathematics.
Over time, "algebra" made its way into various European languages, including Old French and Medieval Latin, before evolving into the English term "algebra" in the 15th century.
Similar spelling words for ALGEBRAIC
Infographic
Add the infographic to your website:
