Euler Numbers

Описание к видео Euler Numbers

We define the Euler numbers as the nth derivative of the hyperbolic secant at the origin. These numbers therefore arise in the Taylor expansion of secant. These numbers also have a variety of number theoretical properties. They are also related to the Bernoulli numbers by the relationship between tangent and secant.

*Note: In the last portion of the video a (-1)^n is missing in the Taylor series for ln(sec x + tan x). Please add this back in for me!

#mikethemathematician, #mikedabkowski, #profdabkowski

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