algebra
Americannoun
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the branch of mathematics that deals with general statements of relations, utilizing letters and other symbols to represent specific sets of numbers, values, vectors, etc., in the description of such relations.
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any of several algebraic systems, especially a ring in which elements can be multiplied by real or complex numbers linear algebra as well as by other elements of the ring.
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any special system of notation adapted to the study of a special system of relationship.
algebra of classes.
noun
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a branch of mathematics in which arithmetical operations and relationships are generalized by using alphabetic symbols to represent unknown numbers or members of specified sets of numbers
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the branch of mathematics dealing with more abstract formal structures, such as sets, groups, etc
Other Word Forms
Derived Forms
Inflected Forms
Nouns
Etymology
Origin of algebra
1535–45; < Medieval Latin < Arabic al-jabr literally, restoration
Explanation
If the math equation you're doing has letters or other symbols that stand for numbers, you're likely doing algebra. You probably took your first algebra class early in your high school years. The noun algebra comes from Arabic word al jebr, meaning "reunion of broken parts," which appeared in the title of mathematician al-Khwarizmi's famous book on equations. In algebra you use basic arithmetic like addition and subtraction, but the quantities you're working with are often unknown — that's why they're represented by letters. You might remember solving algebra equations that look like this: a(b + c) = ab + ac. The letters a, b, and c all represent a number.
Vocabulary lists containing algebra
English Words Derived from Arabic
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Expressions and Equations
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Example Sentences
Examples are provided to illustrate real-world usage of words in context. Any opinions expressed do not reflect the views of Dictionary.com.
See Examples For:
"There's a terrible algebra situation going on here of all of these things will equal 'bye-bye'."
From BBC ● Apr. 1, 2026
Boole translated logic into algebra—with an algebra of logic, or Boolean algebra—transforming logic from a philosophical, rule-based system into a mathematical, symbolic one.
From The Wall Street Journal ● Mar. 29, 2026
Feynman even helped him with his algebra homework, he recalled.
From Los Angeles Times ● Jan. 16, 2025
One key operation in a deep neural network involves the use of linear algebra to perform matrix multiplication, which transforms data as it is passed from layer to layer.
From Science Daily ● Dec. 2, 2024
This was the birth of what we now know as algebra.
From "Zero: The Biography of a Dangerous Idea" by Charles Seife
In 1984, while working at the University of Pennsylvania in Philadelphia, Jones came across some formulas that his nested algebras satisfied.
From Nature ● Sep. 28, 2020
By the 1970s, Connes had made strides towards a complete classification of particular systems of operators known as Von Neumann algebras.
From Nature ● Sep. 28, 2020
Jones’s speciality, operator algebras, provided a powerful tool in the study of knots.
From Nature ● Sep. 28, 2020
Meanwhile, Gell-Mann continued pursuing the theory of quarks, refining his ideas about current algebras.
From Scientific American ● Jun. 6, 2019
Damp smelling books were here and there among the ruins, histories, arithmetics, algebras and grammars.
From Pee-Wee Harris on the Trail by Fitzhugh, Percy Keese
Definitions and idiom definitions from Dictionary.com Unabridged, based on the Random House Unabridged Dictionary, © Random House, Inc. 2023
Idioms from The American Heritage® Idioms Dictionary copyright © 2002, 2001, 1995 by Houghton Mifflin Harcourt Publishing Company. Published by Houghton Mifflin Harcourt Publishing Company.
