What was the problem between sir Isaac Newton & sir Gottfried Wilhelm Leibniz about inventing Calculus?

Question

I heard something about this fact. Can you give me some detailed information about this. URLs are appreciated.

Don't answer if you are unsure. This is not a game.

Thanks.

Answer 1

Leibniz and Newton pulled these ideas together into a coherent whole and they are usually credited with the probably independent and nearly simultaneous "invention" of calculus. Newton was the first to apply calculus to general physics and Leibniz developed much of the notation used in calculus today; he often spent days determining appropriate symbols for concepts. The fundamental insight that both Newton and Leibniz had was the fundamental theorem of calculus. This theorem and its consequences have proven indispensable in the development of mathematics and the physical sciences.



When Newton and Leibniz first published their results, there was some controversy over whether Leibniz's work was independent of Newton's. While Newton derived his results years before Leibniz, it was only some time after Leibniz published in 1684 that Newton published. Later, Newton would claim that Leibniz got the idea from Newton's notes on the subject; however examination of the papers of Leibniz and Newton show they arrived at their results independently, with Leibniz starting first with integration and Newton with differentiation. This controversy between Leibniz and Newton divided English-speaking mathematicians from those in Europe for many years, which slowed the development of mathematical analysis. Today, both Newton and Leibniz are given credit for independently developing calculus



http://en.wikipedia.org/wiki/Calculus



Newton and Leibniz are usually credited with the invention, independently of one another in the late 1600s, of differential and integral calculus as we know it today. Their most important contributions were the development of the fundamental theorem of calculus. Also, Leibniz did a great deal of work with developing consistent and useful notation and concepts. Newton was the first to organize the field into one consistent subject, and also provided some of the first and most important applications, especially of integral calculus.



Much of the controversy centers on certain early manuscripts of Newton's that Leibniz may have had access to. Newton began his work on calculus at least as early as 1666, giving plenty of time for this to occur, as Leibniz did not begin his work until 1676. Leibniz was in England in 1673 and 1676, and probably did see some of Newton's manuscripts. It is not known how much this may have influenced Leibniz. Both Newton and Leibniz claimed that the other plagiarized their respective works. In fact, they may very well have influenced one another, but it is now widely accepted that the two developed their ideas mostly independently.



The work of both Newton and Leibniz is reflected in the notation used today. Newton was responsible for the and the notations, both very common in physics and mathematics. Leibniz was responsible for the notation that is also very popular, particularly for problems in multivariate calculus.



for a more detailed info visit http://en.wikipedia.org/wiki/Newton_v._Leibniz_calculus_controversy

Answer 2

Isaac Newton And Wilhelm Leibniz

Answer 3

Both men are credited with founding the principles of the branch of mathematics called calculus - by each one's own independent efforts - in the same calendar year.



As researching Isaac Newton would result in much more additional information regarding Physics and Optics. I'd recommend accessing Gottfried Leibniz under any substantive encyclopedia website. Documentation of his work almost always includes passages about this separate but simultaneous founding of calculus.

Answer 4

There was no problem.



The story goes that mathematical problems were sent around as round letters between elitarian circles. One of these problems was the calculation of the area enclosed by a curve. Standard procedure was to do approximations, a tedious and time-consuming job. Both Newton and Leibnitz, when faced with the same problem, took a look at the method and refined it into the new mathematics of calculus.



Basically, to both Newton and Leibnitz the problem _was_ a game at that time. Other uses of calculus were discovered later.

Answer 5

Newton denoted the derivate function of f(x) as f ' (x).

Leibnitz denoted the derivate function of y as a y whit a dot on it.

That's all as far as I know.

Later in physics the y dot notation was used for the derivate with respect to the time., often called flux.