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Algebra is one of the broad parts of mathematics which has number theory, geometry and analysis. Algebra is the study of symbols and the rules for manipulating symbol and is a unifying line of all of mathematics. It solves elementary equation to the study of abstractions such as groups, rings, and fields. The more basic parts of algebra are called elementary algebra, the more abstract parts are called abstract algebra or modern algebra. Elementary algebra is essential for any study of mathematics, science, or engineering, as well as such applications as medicine and economics. Abstract algebra is a major area in advanced mathematics studied primarily by professional mathematicians. Elementary algebra differs from arithmetic in the use of abstractions, such as using letters to stand for numbers that are either unknown or allowed to take on many values. For example, in the letter is unknown, but the law of inverses can be used to discover its value: In, the letters and are variables, and the letter is a constant. Algebra gives methods for solving equations and expressing formulas that are much than the older method of writing everything out in words.
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Scope and Importance
Areas of mathematics with the word algebra in their name Elementary algebra, the part of algebra that is usually taught in elementary courses of mathematics. Abstract algebra, in which algebraic structures such as groups, rings and fields are axiomatically defined and investigated. Linear algebra, in which the specific properties of linear equations, vector spaces and matrices are studied. Commutative algebra, the study of commutative rings. Computer algebra, the implementation of algebraic methods as algorithms and computer programs. Homological algebra, the study of algebraic structures those are fundamental to study topological spaces. Universal algebra, in which properties common to all algebraic structures are studied. Algebraic number theory, in which the properties of numbers are studied from an algebraic point of view. Algebraic geometry, a branch of geometry, in its primitive form specifying curves and surfaces as solutions of polynomial equations.
As per available reports the market for Algebrais to grow at a significant during 2014-2015 market is estimated to currently be worth $11.3 billion, for research and is forecast to reach a value of $15.6 billion by 2019.
String Mathematics 2016,
August – 31- September 02, 2016
Ergodic, Algebraic and Combinatorial Methods in Dimension Theory,
February 15-19, 2016
CIMPA-ICTP-CIMAT School on Moduli of Curves,
26 Feb 2016 - 04 Mar 2016, Guanajuato, Mexico
Fractal Geometry, Hyperbolic Dynamics and Thermodynamical Formalism,
March 7-11, 2016, USA, Providence, United States
Dynamics and Graphs over Finite Fields: Algebraic, Number Theoretic and Algorithmic Aspects,
28 Mar 2016 - 01 Apr 2016, Marseille, France
Local and Global Methods in Algebraic Geometry,
12 May 2016 -15 May 2016, Chicago, IL, United States
Combinatorial Algebraic Geometry,
18 Jul 2016 - 22 Jul 2016, Toronto, Canada.
24th Brazilian Algebra Meeting
Combinatorial Algebraic Geometry Convexity in Algebraic Geometry
03 Oct 2016 - 07 Oct 2016, Toronto, Canada
Combinatorial Algebraic Geometry
05 Dec 2016 - 09 Dec 2016, Toronto, Canada
Associations for algebra:
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This page was last updated on April 10, 2020