Algebra vs. Calculus

Algebranoun

A system for computation using letters or other symbols to represent numbers, with rules for manipulating these symbols.

Algebranoun

The surgical treatment of a dislocated or fractured bone. Also (countable): a dislocation or fracture.

Algebranoun

The study of algebraic structures.

Algebranoun

A universal algebra.

Algebranoun

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.

Algebranoun

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).

Algebranoun

One of several other types of mathematical structure.

Algebranoun

(figurative) A system or process, that is like algebra by substituting one thing for another, or in using signs, symbols, etc., to represent concepts or ideas.

Algebranoun

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.

Algebranoun

A treatise on this science.

Algebranoun

the mathematics of generalized arithmetical operations

Algebra

Algebra (from Arabic: الجبر‎, romanized: al-jabr, lit. 'reunion of broken parts, bonesetting') is one of the broad areas of mathematics, together with number theory, geometry and analysis. In its most general form, algebra is the study of mathematical symbols and the rules for manipulating these symbols; it is a unifying thread of almost all of mathematics.

Calculusnoun

Calculation; computation.

Calculusnoun

Any formal system in which symbolic expressions are manipulated according to fixed rules.

Calculusnoun

Differential calculus and integral calculus considered as a single subject; analysis.

Calculusnoun

A stony concretion that forms in a bodily organ.

Calculusnoun

Deposits of calcium phosphate salts on teeth.

Calculusnoun

(countable) A decision-making method, especially one appropriate for a specialised realm.

Calculusnoun

Any solid concretion, formed in any part of the body, but most frequent in the organs that act as reservoirs, and in the passages connected with them; as, biliary calculi; urinary calculi, etc.

Calculusnoun

A method of computation; any process of reasoning by the use of symbols; any branch of mathematics that may involve calculation.

Calculusnoun

a hard lump produced by the concretion of mineral salts; found in hollow organs or ducts of the body;

Calculusnoun

an incrustation that forms on the teeth and gums

Calculusnoun

the branch of mathematics that is concerned with limits and with the differentiation and integration of functions

Calculus

Calculus, originally called infinitesimal calculus or , is the mathematical study of continuous change, in the same way that geometry is the study of shape and algebra is the study of generalizations of arithmetic operations. It has two major branches, differential calculus and integral calculus; the former concerns instantaneous rates of change, and the slopes of curves, while integral calculus concerns accumulation of quantities, and areas under or between curves.