# Calculus

Calculus (Latin, calculus, a small stone used for counting) is a branch of mathematics focused on limits, functions, derivatives, integrals, and infinite series. It has two major branches, differential calculus and integral calculus, which are related by the fundamental theorem of calculus. Calculus is the study of change, in the same way that geometry is the study of shape and algebra is the study of operations and their application to solving equations. Calculus has widespread applications in science, economics, and engineering and can solve many problems for which algebra alone is insufficient.

This subject constitutes a major part of modern mathematics education. A course in calculus is a gateway to other, more advanced courses in mathematics devoted to the study of functions and limits, broadly called mathematical analysis.

Calculus has historically been called "the calculus of infinitesimals", or "infinitesimal calculus". More generally, calculus (plural calculi) refers to any method or system of calculation guided by the symbolic manipulation of expressions. Some examples of other well-known calculi are propositional calculus, variational calculus, lambda calculus, pi calculus, and join calculus.

### Other articles related to "calculus":

List Of People Considered Father Or Mother Of A Scientific Field - Formal Sciences - Mathematics
... For their independent invention of the Cartesian Coordinate System Calculus Isaac Newton Gottfried Leibniz See Leibniz and Newton calculus controversy ... points to include the case when these are infinitely far away Tensor calculus Gregorio Ricci-Curbastro (founder) Book The Absolute Differential Calculus ... Vector algebra, vector calculus Willard Gibbs Oliver Heaviside (founders) For their development and use of vectors in algebra and calculus ...
Calculus - Applications
... Calculus is used in every branch of the physical sciences, actuarial science, computer science, statistics, engineering, economics, business, medicine, demography, and in other fields ... Physics makes particular use of calculus all concepts in classical mechanics and electromagnetism are interrelated through calculus ... field can be found by the use of calculus ...
Criticism Of Non-standard Analysis - Bishop's Criticism - Bishop's Review
... Bishop reviewed the book Elementary Calculus An Infinitesimal Approach by Keisler which presented elementary calculus using the methods of nonstandard analysis ... However, in applications of the calculus, it is helpful to imagine a line in physical space as a hyperreal line ... and Leibniz is going to justify developing calculus using axioms V* and VI*-on the grounds that the usual definition of a limit is too complicated! Although it seems to be futile, I always tell my calculus students ...
Calculus The Musical
... "Calculus The Musical! is a comic “review” of the concepts and history of Calculus." The musical was originally created by Matheatre, composed of Marc Gutman and Sadie Bowman ... The musical used the story of the development of Calculus to tie together songs that Marc had created as mnemonics when he was a teacher ...
Lambda-mu Calculus
... logic and computer science, the lambda-mu calculus is an extension of the lambda calculus, and was introduced by M ... found in computability theory and from the μ operator of modal μ-calculus) and the bracket operator ... One of the main goals of this extended calculus is to be able to describe expressions corresponding to theorems in classical logic ...

### Famous quotes containing the word calculus:

I try to make a rough music, a dance of the mind, a calculus of the emotions, a driving beat of praise out of the pain and mystery that surround me and become me. My poems are meant to make your mind get up and shout.
Judith Johnson Sherwin (b. 1936)