Abstract
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.
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© 2004 E.B. Burger and R. Tubbs
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Burger, E.B., Tubbs, R. (2004). 2.7182818284590452353602874713…. In: Making Transcendence Transparent. Springer, New York, NY. https://doi.org/10.1007/978-1-4757-4114-8_3
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DOI: https://doi.org/10.1007/978-1-4757-4114-8_3
Publisher Name: Springer, New York, NY
Print ISBN: 978-1-4419-1948-9
Online ISBN: 978-1-4757-4114-8
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