Sir Isaac Newton contributed to the study of power series, generalised the binomial theorem to non-integer exponents, developed Newton’s method for approximating the root of a function and classified most of the cubic plane curves, he also shared credit with Gottfried Leibniz for the development of calculus.
One of Newton's most important papers laid the foundation for calculus. Calculus is an extension of Descartes' analytic geometry, with it you can calculate the area of shapes which are not enclosed with lines and parts of circles. Newtons work was based on his insight that the integration of a function is the inverse procedure to differentiating it.
Newton confronted the fact that although it was easy to represent and calculate the average slope of a curve and concluded that the slope of a curve was constantly changing and there was no method to give the exact slope at any one individual point on the curve. The slope at a particular point can be approximated by using the formula 'rise over run'.
One of Newton's most important papers laid the foundation for calculus. Calculus is an extension of Descartes' analytic geometry, with it you can calculate the area of shapes which are not enclosed with lines and parts of circles. Newtons work was based on his insight that the integration of a function is the inverse procedure to differentiating it.
Newton confronted the fact that although it was easy to represent and calculate the average slope of a curve and concluded that the slope of a curve was constantly changing and there was no method to give the exact slope at any one individual point on the curve. The slope at a particular point can be approximated by using the formula 'rise over run'.