Essay on The Evolution of Differential Calculus

Pythagoras was the first person to really influence the founding of Calculus. He was an Ionian greek philosopher, mathematician, and has been credited as the founder of the movement called Pythagoreanism. Keep in mind he was born in 570 BC and died in 495 BC, so yeah, he’s kind of old. Most of the information about Pythagoras was written down centuries after he lived, so very little reliable information is known about him. He was born on the island of Samos, and traveled the world, visiting Egypt and Greece, and possibly India, and in 520 BC he returned Samos. Around 530 BC, he moves to Croton, in Magna Graecia, and there he established some kind of school or guild.

This will lead to an explanation of motion, the development of the calculus, and the establishment of basic laws of modern physics.

It is being used in page 22, “Rate, Graph, Slopes, and Equations” Quadratic rate of change comes from the parabola in the graph or the table. We would have to find the rate of change on each point because it won't be constant. y=ax^2+bx+c is the quadratic equation that we can find with the quadratic rate of changes. It’s being used in page 32, “To the Rescue.” Instantaneous rate of change is at a particular instant time at a point of the graph. The derivative is a way to look at by the meaning of instantaneous equal to the instantaneous rate of change. It would help you measure the instant time rather than the time on the table. It’s being used in page 34, “The Instant of Impact.” The derivative approximation is the slope of the line that is tangent to the curve at (a,b). It is also the instantaneous rate at which the y-value of function is changing as the x-value increases through

Newton’s most important work, titled Philosophiae Naturalis Principia Mathematica contained his famous laws of motion, as well as new types of maths. Newton

Einstein invents Calculus when this is invented everything seems to revolve around mathematics and Science.

Finally, during the European enlightenment, men like Fermat, Pascal, and Isaac Barrow further pursued the emerging new field developing the concept of the derivative. Barrow even offered the first proof of the fundamental theorem of calculus linking the concepts of differentiation and integration; however, it was one of Barrow’s young students, Isaac Newton who would make the next big splash in the creation of the art of calculus.

He discovered the laws of planetary motion, explained how gravity works, and invented calculus, a new branch of mathematics that proved invaluable to modern scientists and mathematicians.

In Europe, the second half of the 17th century was a time of major innovation. Calculus provided a new opportunity in mathematical physics to solve long-standing problems. Several mathematicians contributed to these breakthroughs, notably John Wallis and Isaac Barrow. James Gregory proved a special case of the second fundamental theorem of calculus in AD 1668.

Lastly Gottfried Wilhelm Leibniz was an educated mathematician, scientist, historian, diplomat, theologian and philosopher. He had the same dream as Spinoza and Descartes, that is, "hope for a systematic organization of all conceivable knowledge." In order to achieve this dream he required first, to perfect a universal scientific language that would reduce all thoughts to mathematical symbols. Second, he succeeded in developing one of the first forms of calculus. With this reasoning tool Leibniz hoped to bring all thought under the reign of symbolic logic (Rogers & Baird, 1981, p. 70).

     From the period of 1145AD – the late 16th century, many mathematicians developed on algebraic concepts. However, it was not until the 1680’s that the most remarkable discoveries were made using algebra. Sir Isaac Newton was a very famous mathematician, English physicist, astronomer, philosopher, and alchemist. During his period of study, he used algebra to describe universal gravitation, develop the laws of motion, found orbits of the planets to be elliptical, discovered that light was made of particles, discovered the rate of cooling objects, and the binomial theorem. His most important works were the development of calculus. However, Newton did not work alone on creating the

Pierre de Fermat Pierre de Fermat was born in the year 1601 in Beaumont-de-Lomages, France. Mr. Fermat's education began in 1631. He was home schooled. Mr. Fermat was a single man through his life. Pierre de Fermat, like many mathematicians of the early 17th century, found solutions to the four major problems that created a form of math called calculus. Before Sir Isaac Newton was even born, Fermat found a method for finding the tangent to a curve. He tried different ways in math to improve the system. This was his occupation. Mr. Fermat was a good scholar, and amused himself by restoring the work of Apollonius on plane loci. Mr. Fermat published only a few papers in his lifetime and gave no systematic exposition of his methods. He had a

I was studying calculus from Math SL text book ( Oxford Publication) , when I was doing my integration questions in between I saw a paragraph of Gabriel Horn , only one paragraph was given . After that it struck in my mind to explore my IA on this topic. I searched from many resources and try to explore the following. In this I found major portion of calculus (differentiation and integration) was explained. it is very interesting to explore the topic on the calculus. That is why I opted this topic.

He made a considerable measure of answers for various conditions. He is gladly celebrated for his answers for the contemporary issues in investigative geometry of attracting digressions to bends and characterizing zones consolidated by bends. Not exclusively did Newton find that these issues countered each other, he discovered general methods for tackling issues of shape, appeared in his "technique for fluxions" and "reverse strategy for fluxions", essentially identical to Leibniz's later exceptional and basic math. Newton utilized the expression "fluxion", from Latin importance stream, since he envisioned an amount spilling out of one greatness to another. Newton's work on immaculate arithmetic was nearly almost escaped everything except his donors until 1704, when he distributed, with Opticks, a tract on the quadrature of bends. The greater part of these segments of points have been begun from Sir Isaac Newton. Despite everything we utilize a large portion of these points in today's current issues. Designers or mathematicians utilize edges to take care of issues managing arches. For instance, in class we attempt to discover the range of the point and to discover 180 degrees or 360 degrees. Everything originated from the breathtaking interest of Sir Isaac

In order for Newton to have discovered the mathematical genius of calculus, he first tried to understand the world around him through physical science. As a result he formulated the famous and well-known Three Laws of Motion, which looked to explain the effect of gravity on falling objects and how objects react with each other. To explain his theories of motion and gravity, Newton came up with calculus, which provided a method to find the change in an objects position and velocity with respect to time. Furthermore, Newton studied a vast amount of work by past prominent mathematicians. Through his extensive research and brilliance he realized that the earlier approaches to finding tangents to curves and to find the area under curves were actually inverse operations of each other and through seeing this relation, he formed the basis of calculus to answer his thoughts about the natural world. Differential calculus was one of his most important findings and is described by the Funk & Wagnall’s New World Encyclopedia as providing a, “method of finding the slope of the tangent to a curve at a certain point; related rates of change, such as the rate at which the area of a circle increases (in square feet per minute) in terms of the radius (in feet) and the rate at which the

It can be used for mathematical, science or engineering calculations that you want to be solved.