# Why was calculus developed?

It is difficult to provide an answer that does not sound tongue in cheek, but it is probably more true to say discovered first, and then developed, bringing into being a… huge potential for mathematical advancement and the advances in science and engineering that became possible as a result. There is still some historical debate as to the discoverer, but it is generally accepted (especially in England) that Newton discovered and developed the idea but did not publish. When Leibnitz then came up with a similar principle that was probably better organised and recognisable in our modern version of calculus, Newton announced his work and claimed the recognition that they both probably deserved.

# How was calculus developed?

Calculus is based on the idea of the infinitesimal. To facilitate analysis curves were considered to consist of infinitesimally small straight line segments and volumes were c…onsidered to consist of infinitesimally thin cross sections. Some of these ideas date back to the ancient Greeks but it was not until the seventeenth century that they were crystallized into a set of rules. A good book about this is The Continuous and the Infinitesimal by John Bell. If you go on a trip travelling at continuously changing speed, then it's the case that for each infinitesimal interval of time (dt) the speed doesn't change and the infinitesimal distance travelled (dx) must be v.dt where v is the velocity at that instant. The total distance is then the infinite sum of all these bits, and is represented by the integral sign which you can think of as a smoothed out "sigma". Also the instantaneous velocity v is dx/dt (by dividing dx=v.dt by dt). By considering examples of constant speed and constant acceleration on a bit of graph paper, it dawned on people that an integral can be represented as an area, and velocity as a slope (or rate of change of area) and formulas from getting from one to another were soon developed. They called these rules "calculus"

# Calculus is a branch of mathematics that studies what?

Calculus is the branch of mathematics that studies continuously changing quantities. The calculus is characterized by the use of infinite processes, involving passage to a… limit, that is, the notion of tending toward, or approaching, an ultimate value.

# What is the relationship between Isaac Newton and the branch of mathematics called Calculus?

Newton is generally taken to have been one of the two inventors of the calculus, the other being Leibniz. They worked independently, had different motivations, and used differ…ent notations. The dates are 1666 for Newton's first work on the calculus and about 1672 for Leibniz, though neither published their work until much later. The key realisation that both Newton and Leibniz had was that differentiation and integration are inverse processes. This means that areas under curves can be obtained by using anti-derivatives, a result now called the Fundamental Theorem of Calculus. This led to a systematic symbolic process for solving many problems, called at first "infinitesimal calculus" and later just "calculus". Differentiation is to do with tangents, and integration is to do with areas. Work on both tangents and areas goes back as far as the ancient Greeks (Euclid and Archimedes). The significance of the work of Newton and Leibniz was that they were the first people to really understand and exploit the connection between tangents and areas.

# Nicolas Copernicus did He invented a new method of mathematical calculation called calculus?

Copernicus's main contribution was to propose a heliocentric model for the solar system, i.e. one with the sun at the center instead of the earth. This was in contrast to the …Ptolemaic models which placed the earth at the center and required complicated "epicycles" to describe why planets would wobble back and forth in the sky instead of moving in nice straight lines. Calculus, on the other hand, was invented simultaneously and independently by Newton and Leibniz. sir isaac newton

# What is the branch of mathematics called calculus concerned with?

odd geometric shapes and the calculation/manipulation of their areas.

# Which two men worked independently of each other and created the mathematical branch called calculus?

Gottfried Leibniz and Sir Isaac Newton

# Which branch of mathematics was developed by the Muslims?

algerbra is correct is didn't post last time so i"m just gonna say thats theres lots of studies done on this subject to prove of this so... Algebra correct!

# He invented a new method of mathematical calculations called calculus?

Newton and Leibniz developed the calculus.

# What is calculus in mathematics?

Calculus involves the exploration of limits in mathematics. For example, if you consider a polygon and keep adding a side to it, eventually it will begin to look like a circle… but it will never truly be a circle. This is an example of a limit.

# He invented a new of mathematical calculation called calculus?

Issac Newton and Gottfried Leibniz invented the calculus and argued the rest of their lives over who had the priority in this invention.

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# Who invented a new method of mathematical calculations called calculus?

Issac Newton and Gottfried Leibniz invented the calculus and argued the rest of their lives over who had the priority in this invention.

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# What is the complete mathematical summary of calculus?

Calculus is a very wide ranging subject, which is not really possible to generalise (particularly since you do not indicate what kind of level of calculus you wish summarised-… e.g beginners, intermediate, post-grad etc...)

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# What do you call the branch of mathematics that studies donuts?

MMmmMhmmMhmmhmmm....... geometry....

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# Who is the developer of calculus?

Issac Newton and Leibniz developed it independently. Newton discovered it first, but kept it to himself. Leibniz, on the other hand, published. Newton accused Liebnitz of ste…aling his ideas, thus starting a long feud between the two. Today, they are both recognized as being the founding fathers of calculus. It is however, Leibniz's notation of the calculus that has flourished.

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# Who developed branch of mathematics as calculus?

Sir Isaac Newton.