Here we will investigate several features of one of the most famous and important numbers in mathematics, namely, Leonhard Euler’s “e.” Our journey through this chapter sets the stage for much of what follows in our future explorations. To foreshadow the fundamental strategies to come, we open with Joseph Fourier’s 1815 clever proof of Euler’s result that e is irrational.
KeywordsNumber Theory Rational Number Rational Approximation Previous Argument Power Series Expansion
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