How Euler Did It (Spectrum)

How Euler Did It (Spectrum) by Sandifer, C. Edward. hardcover edition. ISBN: 9780883855638.

How Euler Did It is a collection of 40 monthly columns that appeared on MAA Online between November 2003 and February 2007 about the mathematical and scientific work of the great 18th-century Swiss mathematician Leonhard Euler. Inside we find interesting stories about Eulers work in geometry and his solution to Cramers paradox and its role in the early days of linear algebra. We see Eulers first proof of Fermats little theorem for which he used mathematical induction, as well as his discovery of over a hundred pairs of amicable numbers, and his work on odd perfect numbers, about which little is known even today. Professor Sandifer based his columns on Eulers own words in the original language in which they were written. In this way, the author was able to uncover many details that are not found in other sources.