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Calculus is the mathematical study of continuous change, in the same way that geometry is the study of shape, algebra is the study of generalizations of arithmetic operations, and trigonometry is the relationships between angles and side lengths of triangles.
Calculus, originally called infinitesimal calculus, is a mathematical discipline focused on limits, continuity, derivatives, integrals, and infinite series. Many elements of calculus appeared in ancient Greece, then in China and the Middle East, and still later again in medieval Europe and in India.
In mathematics, differential calculus is a subfield of calculus that studies the rates at which quantities change. It is one of the two traditional divisions of calculus, the other being integral calculus —the study of the area beneath a curve.
Calculus is a branch of mathematics that describes continuous change. There are two different types of calculus. Differential calculus divides ( differentiates ) things into small ( different ) pieces, and tells us how they change from one moment to the next, while integral calculus joins ( integrates ) the small pieces together, and tells us ...
calculus, branch of mathematics concerned with the calculation of instantaneous rates of change (differential calculus) and the summation of infinitely many small factors to determine some whole (integral calculus).
Nov 13, 2014 · A part of the name of some branches of mathematics dealing with rules for the computation of and operation with objects of a definite type; e.g. differential calculus, variational calculus.
Jun 5, 2020 · The theory and methods of integral calculus of real- or complex-valued functions of a finite number of real or complex variables carry over to more general objects. For example, the theory of integration of functions whose values lie in a normed linear space, functions defined on topological groups, generalized functions, and functions of an ...
Dec 31, 2009 · This is a sub-article to Calculus and History of mathematics. History of Calculusis part of the history of mathematics focused on limits, functions, derivatives, integrals, and infinite series. The subject, known historically as infinitesimal calculus, constitutes a major part of modern mathematics education.
Feb 17, 2024 · This wikibook aims to be a high quality calculus textbook through which users can master the discipline. Standard topics such as limits , differentiation and integration are covered, as well as several others.
The fundamental theorem of calculus is central to the study of calculus. It is the theorem that shows the relationship between the derivative and the integral and between the definite integral and the indefinite integral.
