Isaac Newton and Gottfried Leibniz: How Calculus Has Helped Change the World
How Calculus Has Helped Change The World
Isaac Newton and Gottfried Leibniz introduced Calculus to the world. It is the math of motion and change, and as such, its invention required the creation of a new mathematical system, hence it is broadly used in all fields of engineering, sports, biology, economics, medicine etc. Also its just generally useful in life excluding academics.
Calculus provides the language of economics and the means by which economists solve problems. Calculus is especially significant in illustrating what a leading economist calls a key principle of economics. Calculus focuses heavily on functions and derivatives. In economic research they often examine functional relationships for example relationship between the dependent variable income and various predictors, or independent variables, such as education and experience. Its benefit in economics is that when determining marginal revenues and costs, it can help business managers maximize their profits and measure the rate of increase in profit that results from each increase in production. As long as marginal revenue exceeds marginal cost, the firm increases its profits. And its significance is it provides a means for determining the amount of interest paid over the life of a loan.
In engineering in particular, it is used to relate position, velocity and acceleration etc. Electrical engineers apply the principles of calculus to determine the length of electrical wire needed to hang wire in a curved, catenary pattern between two hydro towers. When roads are constructed, particularly any with a curve or turn, engineers must take into account the slope of the curve, it’s possible tangents and the potential speed of vehicles as they travel around the curve to ensure safe speed limits are posted and the road is built with the safest conditions in mind.
Basically, Calculus is the fundamental tool of maths that is applied to the real world. The invention of the Calculus was
Isaac Newton and Gottfried Leibniz introduced Calculus to the world. It is the math of motion and change, and as such, its invention required the creation of a new mathematical system, hence it is broadly used in all fields of engineering, sports, biology, economics, medicine etc. Also its just generally useful in life excluding academics.
Calculus provides the language of economics and the means by which economists solve problems. Calculus is especially significant in illustrating what a leading economist calls a key principle of economics. Calculus focuses heavily on functions and derivatives. In economic research they often examine functional relationships for example relationship between the dependent variable income and various predictors, or independent variables, such as education and experience. Its benefit in economics is that when determining marginal revenues and costs, it can help business managers maximize their profits and measure the rate of increase in profit that results from each increase in production. As long as marginal revenue exceeds marginal cost, the firm increases its profits. And its significance is it provides a means for determining the amount of interest paid over the life of a loan.
In engineering in particular, it is used to relate position, velocity and acceleration etc. Electrical engineers apply the principles of calculus to determine the length of electrical wire needed to hang wire in a curved, catenary pattern between two hydro towers. When roads are constructed, particularly any with a curve or turn, engineers must take into account the slope of the curve, it’s possible tangents and the potential speed of vehicles as they travel around the curve to ensure safe speed limits are posted and the road is built with the safest conditions in mind.
Basically, Calculus is the fundamental tool of maths that is applied to the real world. The invention of the Calculus was
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