History of Calculus

about the description and history of calculus

1. The Birth of Calculus

2. What is calculus Calculus is a field of mathematics that deals with continuous change and is one of the most significant branches of mathematics. Infinite calculus, or "the calculus of infinitesimals," is another name for calculus. Calculus is a field of mathematics that deals with calculating instantaneous rates of change (differential calculus) and the accumulation of an infinite number of tiny components to arrive at a result (integral calculus). In the 17th century, Isaac Newton and Gottfried Wilhelm Leibniz created the calculus. Calculus is currently required for anybody interested in studying physics, chemistry, or biology. Calculus problems that were formerly thought to be impossible to solve have gotten much easier because to computers.

3. Two major contributors to the birth of calculus

4. Isaac Newton In full Sir Isaac Newton English physicist, mathematician and scientist He is credited with being the first to create calculus. It's a step-by-step process, as many other mathematicians contributed to the concept.

5. Gottfried Wilhelm Leibniz A German philosopher, mathematician, and political adviser important both as a metaphysician and as a logician and distinguished also for his independent invention of the differential and integral calculus.

6. History of the Calculus timeline

7. Ancient Times Leucippus, Democritus, and Antiphon all contributed to the Greek technique of exhaustion, which was scientifically established by Eudoxus in 370 BC. The method of exhaustion is so named because the areas measured grow to account for more and more of the needed area. Archimedes uses the method of exhaustion to calculate the area of a circle. This is, of course, an early example of integration that resulted in approximate values of π. https://mathshistory.st-andrews.ac.uk/HistTopics/The_rise_of_calculus/

8. Renaissance Time René Descartes, a Frenchman, is frequently regarded as the founder of the modern school of mathematics. In the mid-17th century, his creation of analytic geometry and Cartesian coordinates allowed the orbits of the planets to be represented on a graph, as well as providing the groundwork for the later development of calculus (and much later multi-dimensional geometry). Fermat developed various theorems that considerably expanded our understanding of number theory, as well as some early work on infinitesimal calculus. Pascal is most famous for Pascal’s Triangle of binomial coefficients, although similar figures had been produced by Chinese and Persian mathematicians long before him. Cavalieri had fully developed his method of indivisibles, a way of estimating the size of geometric forms comparable to integral calculus approaches.

9. 17TH CENTURY Time Newton‘s teacher Isaac Barrow is usually credited with the discovery (or at least the first rigorous statement of) the fundamental theorem of calculus Calculus was created and perfected throughout the ages, beginning with ancient Greece and continuing until the time of Newton and Leibniz. But when it comes to who receives credit for "discovering" one of mathematics' most revolutionary notions, the situation is a little complicated. The controversy centered on Newton's invention of the notion of calculus in the mid-1660s. He claims to have originated the fundamental notions of calculus between 1664 and 1666. when Newton began to realize that Leibniz had the ideas of calculus, which he himself began to realize in the 1770s, Newton’s response to ensure that he received the credit for calculus was to write a letter to Leibniz.

10. Conclusion Calculus is a branch of mathematics that deals with continues change or rate of change and the accumulation of an infinite number of tiny components to arrive at a result. While Newton developed many of the theorems and applications earlier to Gottfried Wilhelm Leibniz, the conclusion is that Gottfried Wilhelm Leibniz invented Calculus.