#euler number

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e. The complex expansion

Part 1 – The story of e Part 1: What is the Euler Series? When mathematicians talk about the “Euler Series,” they are referring to a beautiful infinite sum that allows us to calculate the exact value of $e$ without guessing. Originally, $e$ was defined by a limit $$ \lim_{n \to \infty} (1 + 1/n)^n $$ which is incredibly slow and tedious to calculate manually. Leonhard Euler solved this by…

e. The complex expansion

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The Story of e.

The story of Euler’s Number. A passionate engineer discussing it to a colleague over coffee. In 1683, a Swiss mathematician named Jacob Bernoulli was trying to solve a problem that had absolutely nothing to do with the secrets of the universe. He was just thinking about money. Specifically, he was dreaming up a hypothetical, completely unrealistic bank account that paid 100% interest every…

The Story of e.

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