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Taylor series | Essence of calculus, chapter 11

Taylor series | Essence of calculus, chapter 11

When I first learned about Taylor series, I definitely didn’t appreciate how important they are. But time and time again they come up in math, physics, and many fields of engineering because they’re one of the most powerful tools that math has to offer for approximating functions. One of the first times this clicked for …

How pi was almost 6.283185…

How pi was almost 6.283185…

I’m sure you’re well-familiar with the whole pi vs. tau debate. Many people say that the fundamental circle constant we hold up should be the ratio of a circle’s circumference to its radius, around 6.28, not the ratio to its diameter, the more familiar 3.14. These days we call this larger constant “tau”, popularized by …