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Calculus
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This article is about the branch of mathematics. For other uses, see Calculus (disambiguation). | It has been suggested that Infinitesimal calculus be merged into this article or section. (Discuss) Proposed since May 2011. |

Topics in Calculus | Fundamental theorem
Limits of functions
Continuity
Mean value theorem [show]Differential calculus | Derivative
Change of variables
Implicit differentiation
Taylor's theorem
Related rates
Rules and
…show more content…
Calculus has widespread applications in science, economics, and engineering and can solve many problems for which algebra alone is insufficient.
Historically, calculus was 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. Contents[hide] * 1 History * 1.1 Medieval * 1.2 Modern * 1.3 Foundations * 1.4 Significance * 2 Principles * 2.1 Limits and infinitesimals * 2.2 Differential calculus * 2.3 Leibniz notation * 2.4 Integral calculus * 2.5 Fundamental theorem * 3 Applications * 4 See also * 4.1 Lists * 4.2 Related topics * 5 References * 5.1 Notes * 5.2 Books * 6 Other resources * 6.1 Further reading * 6.2 Online books * 7 External links |
[edit] History
Main article: History of calculus

Isaac Newton developed the use of calculus in his laws of motion and gravitation.
The ancient period introduced some of the ideas that led to integral calculus, but does not seem to have developed these ideas in a rigorous or systematic way. Calculations of volumes and areas, one goal of integral calculus, can be found in the Egyptian Moscow papyrus (c. 1820 BC), but the formulas

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