2.7182818284590452353602874713…

Edward B. Burger and Robert Tubbs
Additional contact information
Edward B. Burger: Williams College, Department of Mathematics
Robert Tubbs: University of Colorado at Boulder, Department of Mathematics

Chapter Number 2 in Making Transcendence Transparent, 2004, pp 27-42 from Springer

Abstract: 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.

Keywords: Number Theory; Rational Number; Rational Approximation; Previous Argument; Power Series Expansion (search for similar items in EconPapers)
Date: 2004
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4757-4114-8_3

Ordering information: This item can be ordered from
http://www.springer.com/9781475741148

DOI: 10.1007/978-1-4757-4114-8_3

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().