Australian Mathematical Society Web Site
e the EXPONENTIAL  the Magic Number of GROWTH
Keith Tognetti  University of Wollongong NSW 2522 Australia
12 February 1998
This Module is written as a self contained introduction to e,
bringing together the main theorems and important properties of
this fundamental constant of natural growth processes.
Not only is an axiomatic treatment given but this is complemented by
some theorems that have been selected for their unexpected beauty.
It assumes only an elementary understanding of integration. Some
anecdotes and history are also included. It will be seen that
Euler's gamma constant also comes into the main theorem and this
highlights
the intimate interconnection between e, the area under the curve
1/x,
and the the truncated Harmonic series.
Downloading the Module
In general we recommend using the PDF format of the files at this
site.
Such files can be read on most platforms using the
freely available Adobe(R)
Acrobat(R) Reader. Unfortunately, there seem to be a few problems
in the conversion to this format, which causes certain symbols to be
misplaced on the page. We hope to remedy this soon.

PDF version (171Kb)

Postscript version (200Kb)

DVI version (80K)

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Last updated by Ian Doust, 08/04/98.