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Abstract algebra is the subject area of mathematics that studies algebraic structures, such as groups, rings, fields, modules, vector spaces, and algebras.The phrase abstract algebra was coined at the turn of the 20th century to distinguish this area from what was normally referred to as algebra, the study of the rules for manipulating formulae and algebraic expressions involving unknowns and ...
Algebra includes the study of algebraic structures, which are sets and operations defined on these sets satisfying certain axioms. The field of algebra is further divided according to which structure is studied; for instance, group theory concerns an algebraic structure called group.
[1] Elementary algebra, also known as high school algebra or college algebra, [2] encompasses the basic concepts of algebra. It is often contrasted with arithmetic : arithmetic deals with specified numbers , [ 3 ] whilst algebra introduces variables (quantities without fixed values).
Outline of algebra; List of algebraic coding theory topics; List of algebraic constructions; List of algebraic geometry topics; List of algebraic number theory topics; Outline of algebraic structures; List of complex and algebraic surfaces; List of algebras; List of algorithm general topics; List of algorithms; List of terms relating to ...
Generality of algebra; Nonstandard calculus. Elementary Calculus: An Infinitesimal Approach ... list of complex analysis topics, list of multivariable calculus topics
This is a list of algebraic number theory topics. Basic topics. These topics are basic to the field, either as prototypical examples, or as basic objects of study. ...
2.1 Elementary abstract algebra. 3 Theory of equations. 4 Calculus with polynomials. 5 Polynomial interpolation. ... This is a list of polynomial topics, by Wikipedia ...
Rocket City Math League (RCML) — Competition run by students at Virgil I. Grissom High School with levels ranging from Explorer (Pre-Algebra) to Discovery (Comprehensive) Romanian Master of Mathematics and Sciences — Olympiad for the selection of the top 20 countries in the last IMO.
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