Algebra

Definitions

1. Elementary algebra: A system for representing and manipulating unknown quantities (variables) in equations.
   uncountable
2. Abstract algebra: A broad field of study in modern mathematics (often mentioned alongside analysis) loosely characterized by its concern for abstraction and symmetry, dealing with the behavior, classification, and application of a large class of objects (called algebraic structures) and the maps between them (called, most generally, morphisms).
   capitalized, sometimes, uncountable
3. Any of several objects of study in Algebra
   countable, uncountable
4. A universal algebra.
   countable, uncountable
5. An algebraic structure consisting of a module over a commutative ring (or a vector space over a field) along with an additional binary operation that is bilinear over module (or vector) addition and scalar multiplication.
   countable, uncountable
6. 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).
   countable
7. A system or process (especially one that is complex or convoluted) that substitutes one thing for another, or uses signs or symbols to represent concepts or ideas.
   countable, figuratively, uncountable
8. The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.
   historical, rare, uncountable

Equivalents

Examples

“Also the rule⟳ of false position, with dyuers examples not only vulgar, but some appertaynyng to the rule⟳ of Algeber.”

“Let⟳ us conceive, then, of an Algebra in which the symbols x, y, z, &c. admit⟳ indifferently of the values 0 and 1, and of these values alone.”

“Fly⟳ ! Fly⟳ ! avaunt with that base⟳ cowardly gibbrish ; That Algebra of honour ; which had never Been nam'd, if all had equal courage—what?”

“Ne take⟳ noon hede to brynge togidere þe parties of þe boon þat is to-broken or dislocate, til viij. daies ben goon in þe wyntir, & v. in þe somer; for þanne it schal make⟳ quytture, and be sikir from swellynge; & þanne brynge togidere þe brynkis eiþer þe disiuncture after þe techynge þat schal be seid in þe chapitle of algebra.”

“Algebra is used today by surgeons to mean⟳ bone-setting, i.e. the restoration of bones, and the idea of restoration is present⟳ in the mathematical context, too.”

CEFR level