![]() If we choose to say that the start of calculus is the discovery of any topic involving convergence, then you may be able to say that this is the true start of calculus. This idea is heavily related to calculus, but note that it is not typically what we work off of when talking about the origin of calculus. Now with India, you're most likely referring to this, which is specifically about the discovery of infinite sums in India around 1350 CE. For example, Fermat and Descartes both independently invented analytic geometry at the same time as well. It's a bit strange to think that two people in different countries invented an entire branch of math at the same time (within a decade of each other), but it's important to note that Newton and Leibnitz did communicate with each other and it's not that rare of an occurrence in math. So going off of this, both Newton and Leibnitz are considered the founders of calculus, because they both independently discovered these 3 things (though it should be noted that while Newton did discover integrals, he didn't consider them as area under a curve, he just considered them as the opposite of derivatives Leibnitz was the one who said they were area under a curve). The Fundamental Theorem of Calculus (proving that derivatives and integrals are the opposite of one another).integrals (formulating basically the "sum of change," or the area under a given curve). ![]() derivatives (formulating the change of something in an instant).Typically, we define the start of calculus as the discovery of 3 things: ![]() Oh this is a fun topic in math! It's important to first say it means for something to count as the start of calculus (which will become an apparent issue later).
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