e: The Story of a Number

e: The Story of a Number
by Eli Maor

e: The Story of a Number
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Book Summary Information

Author: Eli Maor
Edition: Paperback
Audio: English (Original Language); English (Unknown); English (Published)
Published: 1998-05-04
ISBN: 0691058547
Number of pages: 232
Publisher: Princeton University Press

Book Reviews of e: The Story of a Number

Book Review: Fabulous book, but there is an important error
Summary: 5 Stars

This is a wonderful book, but there is an error in a crucial explanation on page 66. This has to do with the calculation of the area under the curve y=1/x. The error is that the height of the curve at position a is not (1/a) as stated in the book, but is (1/ar). Therefore, the common areas are not 1-r, but ((1-r)/r). Same observation holds, though, namely that the areas defined by geometrically decreasing widths have equal areas, and hence a log must be involved.

An alternative correction is to leave the algebra, but change the diagram so that the rectangles are under the curve, in which case everything works out as written.

Nevertheless, I highly recommend this book to anyone who is trying to grasp the "meaning" of e.

Summary of e: The Story of a Number

The interest earned on a bank account, the arrangement of seeds in a sunflower, and the shape of the Gateway Arch in St. Louis are all intimately connected with the mysterious number e. In this informal and engaging history, Eli Maor portrays the curious characters and the elegant mathematics that lie behind the number. Designed for a reader with only a modest background in mathematics, this biography of e brings out that number's central importance in mathematics and illuminates a golden era in the age of science.


Until about 1975, logarithms were every scientist's best friend. They were the basis of the slide rule that was the totemic wand of the trade, listed in huge books consulted in every library. Then hand-held calculators arrived, and within a few years slide rules were museum pieces.

But e remains, the center of the natural logarithmic function and of calculus. Eli Maor's book is the only more or less popular account of the history of this universal constant. Maor gives human faces to fundamental mathematics, as in his fantasia of a meeting between Johann Bernoulli and J.S. Bach. e: The Story of a Number would be an excellent choice for a high school or college student of trigonometry or calculus. --Mary Ellen Curtin

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