How did Sir Isaac Newton invent Calculus?

Question

I have a Calculus project to do and I have to describe the steps that Newton took that led him to his invention of Calculus.

Answer 1

Johannes Kepler developed his three observation based laws about planetary motion. That they are elliptical orbits with the sun at one of the foci (and nothing at the other), that the line joining a planet and the sun traces equal area in equal duration, and that the square of the period is porportional to the semimajor axis.





All of this had no physical basis for why at the time of Kepler. It just was a correlation to observation..."curve fitting" if you'd like to think of it that way.





When Newton was asked why it was that way...he said...let me think about it. His existing laws of motion and gravity could explain the physical basis for a perfect circular oribit...but not for an anomalistic orbit (no naturally formed orbit is a perfect circle, they all have some eccentricity).



This inspired him to spend the next few months inventing calculus. Differentiation, vector analysis, integration, etcetera. All of our motion quantities like velocity and acceleration have calculus based definitions...it is completely mandatory that calculus be invented to understand them better.





You might also want to ask how Leibniz invented Calculus. It is controversial whether Newton got there first or whether Leibniz got there first. The English claim Newton, the Germans claim Leibniz. In a way, they sort of figured it out independently. There is nothing wrong with that...in fact it is a great way to confirm whether what we think of is true or not. This is precisely why both Newtonian notation and Leibniz notation still remains in calculus textbooks. There are conveniences to both, hence they both remain.

Answer 2

What Did Isaac Newton Invent

Answer 3

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RE:

How did Sir Isaac Newton invent Calculus?

I have a Calculus project to do and I have to describe the steps that Newton took that led him to his invention of Calculus.

Answer 4

It has been reported that Newton stumbled upon the law of gravity when an apple

fell on his head while sitting beneath the tree.Although this is highlysuspect, it

is reasonably well documented that seeing an apple fall to the ground led him to

consider that the very same force, that caused the apple to fall, held the moon in

its orbit and probably extended onwards to infinity. Although his universal law of

gravity can be stated in simple algebraic terms, it’s derivation was anything but

simple.2The earth’s gravitational attraction (and therefore the weight of an

object) is greatest at its surface.Double the distance from its center and gravity

is reduced to ¼ of that at the surface.Three times the distance yields just 1/9.

Unfortunately the points between these values does not produce a straight line.If

they did we could plot any two of those points on a graph, draw a straight line

through them, and come up with any value of x and y. But, when the line is a

continuously changing curve a different kind of math is required.

Calculus, however,is the mathematics of change.It allows us to take an infinite

number of points that are nearly zero in value and make some sense of the overall

change that is going on.Basically there are two types- - differential (from

differentiate) and integral (from integrate).Differential calculus determines the

rate of change and will let us to find the velocity or acceleration of some object

based on its ever changing position.Integral calculus will determine the quantity

where the rate of change is known and allows us, for example, to compute the area

or volume of some shape that contains one or more curved surfaces.The

derivative and integral are also reciprocals of one another.If you differentiate a

mathematical function you can integrate the results to get back where you started.

Answer 5

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Answer 6

Ha...it is just secret to know. Even differentiation itself he first keep coded.May be forever for himself even...It is very great discovery in fact.No one will knew as it all ,,occur,, But now i can tell ,,why,, only.Such step is end step to him for understand the word Sir.The math as discipline clarify many things such as lieberty,freedom,democraty and so on,it just for England! Bagage of your own inventions will sqweesed you so as no one of his works available just as of many other scientist.This step's project is bad then Mankind can discover.