American Heritage® Dictionary of the English Language, Fourth Edition
- n. A branch of mathematics in which symbols, usually letters of the alphabet, represent numbers or members of a specified set and are used to represent quantities and to express general relationships that hold for all members of the set.
- n. A set together with a pair of binary operations defined on the set. Usually, the set and the operations include an identity element, and the operations are commutative or associative.
Century Dictionary and Cyclopedia
- n. Formal mathematics; the analysis of equations; the art of reasoning about relations, more especially quantitative relations, by the aid of a compact and highly systematized notation. In ordinary algebra the relations between quantities are expressed by signs of equality, addition, subtraction, multiplication, etc. ( =, + , —, ×), or by the position of the quantities (as xy for x × y, and x for x to the y power), and the quantities themselves are denoted by letters. Quantities whose values are unknown or are assumed to be variable are denoted by the last letters of the alphabet, as x, y, z; known or constant quantities by a, b, c, etc.; and problems are solved by expressing all the data in the form of equations, and then transforming these according to certain rules. The conceptions of negative and imaginary quantities (see
negativeand imaginary) are employed. The term higher algebra usually means the theory of invariants. See invariant. Multiple algebra, or n-way algebra, introduces the conception of units of different denominations, which can, however, be multiplied together. Each such system has a multiplication table characterizing it.
- n. Any special system of notation adapted to the study of a special system of relationship: as, “it is an algebra upon an algebra,” Sylvester.
- n. A treatise on algebra.
- n. Its abbreviation is algebra
- n. Algebra of multiple units.
- n. uncountable, mathematics A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.
- n. uncountable, mathematics The study of algebraic structures.
- n. countable, mathematics A universal algebra.
- n. countable, algebra An algebraic structure consisting of a module of a commutative ring along with an additional binary operation that is bilinear.
- n. countable, set theory, analysis A collection of subsets of a given set, such that this collection contains the empty set, and the collection is closed under unions and complements (and thereby also under intersections and differences).
- n. countable, mathematics One of several other types of mathematical structure.
GNU Webster's 1913
- n. (Math.) That branch of mathematics which treats of the relations and properties of quantity by means of letters and other symbols. It is applicable to those relations that are true of every kind of magnitude.
- n. A treatise on this science.
- n. the mathematics of generalized arithmetical operations
- From Medieval Latin, from Arabic الجبر (al-jabr, "reunion, resetting of broken parts"). (Wiktionary)
- Middle English, bone-setting, and Italian, algebra, both from Medieval Latin, from Arabic al-jabr (wa-l-muqābala), the restoration (and the compensation), addition (and subtraction) : al-, the + jabr, bone-setting, restoration (from jabara, to set (bones), force, restore; see gpr in Semitic roots). (American Heritage® Dictionary of the English Language, Fourth Edition)
“From the syntactic side, the free C-algebra B on a set X arises as a quotient of the term algebra formed from X (viewed as a set of variables) using the operation symbols and constants common to the algebras of C.”
“Indeed, the word "algebra" is derived from the title of this book: Kitab al-Jebr (The Book of Completion) in which he lays out for the first time the rules and steps of solving algebraic equations.”
“Wonderful goals and yet I can help but wonder if algebra is the best vehicle to accomplish these goals.”
“I'm trying to get you to be actively involved in your own education, to be independent and curious learners in mathematics, even if algebra is never going to be your favorite subject.”
“Like in algebra, we say "Let T be time and D be distance.”
“But state officials say the tests -- in algebra, English, biology and government -- are an important minimum requirement and have improved high school education.”
“While a poor kid is trying to work through an outdated textbook at the kitchen table, his affluent peer across town is being tutored in algebra in her own room.”
“Chances are, the algebra 2 teacher has a good idea of what it is really important for students to master in algebra 1.”
“Although your story about not knowing basic algebra is pretty scary ...”
“Trying to learn these concepts using only simple algebra is actually more difficult in my opinion.”
These user-created lists contain the word ‘algebra’.
The most frequent words in the titles of mathematical books and journals (www.sciencedirect.com)
nonparametric, nonparametric sta..., multivariate anal..., partial different..., multivariate, topology, stochastic, differential equa..., linear algebra, harmonic analysis, applied mathematics, combinatorial and 205 more...
Arabic loanwords in English are words acquired directly from Arabic or else indirectly by passing from Arabic into other languages and then into English. Most entered one or more of the Romance lan...
This is just a list, right, that I'm gonna, like, fill with words, that, like, are every word that I can, like, think of with, ahhmm, my brain.
a list of my favorite math words
Words from other languages that are used, or would work well, in English. Also known as "loanwords."
Everbody knows where 'hazard' came from,More Arabic Words?
These words are from Samuel Richardson's novel Clarissa, Or, The History of a Young Lady, 1747-48
Looking for tweets for algebra.