What is calculus? can anyone explain it in detail?
Answers
Explanation:
Calculus, originally called infinitesimal calculus or "the calculus of infinitesimals", 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 [1] and integral calculus.[2] Differential calculus concerns instantaneous rates of change and the slopes of curves. Integral calculus concerns accumulation of quantities and the areas under and between curves. These two branches are related to each other by the fundamental theorem of calculus. Both branches make use of the fundamental notions of convergence of infinite sequences and infinite series to a well-defined limit.
Infinitesimal calculus was developed independently in the late 17th century by Isaac Newton and Gottfried Wilhelm Leibniz.[3] Today, calculus has widespread uses in science, engineering, and economics.[4][better source needed]
In mathematics education, calculus denotes courses of elementary mathematical analysis, which are mainly devoted to the study of functions and limits. The word calculus (plural calculi) is a Latin word, meaning originally "small pebble" (this meaning is kept in medicine, see Calculus (medicine)). Because such pebbles were used for calculation, the meaning of the word has evolved for meaning method of computation. It is therefore used for naming specific methods of calculation and related theories, such as propositional calculus, Ricci calculus, calculus of variations, lambda calculus, and process calculus
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anwer - calculus is a branch of mathematics which helps us to understand the changes between values that are related by a function all these formulas are of time and so one is that way to think of calculus - studying functions of time. cellulose is a method of analysis or calculation using a special symbolic notation for limits, differentiation and integration. calculus
is the combined mathematics of differential calculus and integral calculus. calculus is used in lots of ways and applications.Smong the discoplines that utilize calculus include the Physics, engineering statistics and medicines. it is used to create mathematical models in order to arrive an optimal solution. The concepts of Calculus are -
1. continuous function
2. derivative
3. fundamental theorem of calculus
4. integral
5. limit
6. non - standard analysis
7. partial derivative
it is also used to improve the architecture not only of buildings but also of important infrastructure such as bridges. calculus is needed to connect two substations which are miles away from each other.