The Story of Calculus

In the 17th century, during the height of the British empire’s expansion, great old universities like Oxford and Cambridge were producing many great scientists and mathematicians. Sir Isaac Newton was undoubtedly the greatest scientist of all time.

Isaac Newton changed the world when he invented calculus in 1665. Today we take it for granted, but what Newton achieved at the age of 24 is absolutely amazing. In inventing differential calculus and describing its use, Isaac Newton achieved one of the most important breakthroughs in the history of mathematics, and it still stands today.

Undoubtedly, it was his work in physics that led him to this problem, and he felt the need to solve it with a new mathematical framework that simply did not exist up to that point. . His interest in gravity and the laws of motion was related to his breakthrough in the field of calculus.

Newton begins by trying to describe the speed of a falling object. In doing this, he noticed that the speed of a falling object increased every second, but there was no mathematical explanation for this. The question of motion and rate of change remained largely unexplored in the field of mathematics, so Newton saw a gap that needed to be filled. He began working on this fine line, also incorporating planetary ellipses in his theory to try to explain the orbits of the planets. He discovered that by using calculus he could explain how the planets move and why the orbits of the planets are elliptical. This was one of Newton’s breakthroughs: that the force of gravity that keeps us grounded is the same force that causes the planets to orbit the Sun and the Moon to orbit the Earth.

So now, Calculus is the study of the rate of change of a quantity over time. In particular, it can be reduced to the study of rates of change and the synthesis of quantities. The two types of calculations are called differential calculus and integral calculus. Differential calculus refers to the rate at which a quantity changes, such as how the position of an object changes over time. Integral calculus involves accumulating or adding infinitely small numbers. The fundamental theorem of calculus is what connects these two categories. This theorem guarantees the existence of derivatives for continuous functions

Calculus has many important applications in many different areas of science, mathematics, and engineering. Newton’s insights into the development of calculus have revolutionized our ability to pursue new branches of science and engineering. Calculus is used in problems when a quantity changes over time, which is how most problems behave in reality.

Calculus is used in all branches of mathematics, science, engineering, biology, etc. There’s a lot involvement in using computers, and there’s an entire industry that relies heavily on it.

For example, any industry that draws charts and analyzes them to find trends and changes will likely use differential calculus in some way. There are some special formulas that require the use of differential calculus when plotting. And if the dimensions of the chart need to be estimated precisely, then the calculation is used. Sometimes it is necessary to predict what the curve will look like in the future using different calculations, this also requires the use of calculations.

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