The Early Mathematics of Leonhard Euler, Volume 1

Front Cover
Describes Euler's early mathematical works - the 50 mathematical articles he wrote before he left St. Petersburg in 1741 to join the Academy of Frederick the Great in Berlin. These works contain some of Euler's greatest mathematics: the Konigsburg bridge problem, his solution to the Basel problem, his first proof of the Euler-Fermat theorem. Also presented are important results that we seldom realize are due to Euler: that mixed partial derivatives are equal, our f(x) notation, and the integrating factor in differential equations. The book is a portrait of the world's most exciting mathematics between 1725 and 1741, rich in technical detail, woven with connections within Euler's work and with the work of other mathematicians in other times and places, laced with historical context.
 

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Contents

Interlude11291TL
31
1732
67
ad numeros primos spectantibus
74
1733
89
1734
125
1137
227
1738
269
1739
299
1740
349
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References to this book

Euler as Physicist
Dieter Suisky
Limited preview - 2008

About the author (2007)

Ed Sandifer is Professor of Mathematics of Western Connecticut State University. He earned his PhD at the University of Massachusetts under John Fogarty, studying ring theory. He became interested in Euler while attending the Institute for the History of Mathematics and Its Uses in Teaching, IHMT, several summers in Washington DC, under the tutelage of Fred Rickey, Victor Katz and Ron Calinger. Because of a series of advising mistakes, as an undergraduate he studied more foreign languages than he had to, so now he can read the works of Euler in their original Latin, French and German. Occasionally he reads Spanish colonial mathematics in its original as well. Now he is secretary of the Euler Society, and he writes a monthly on-line column, How Euler Did It, for the MAA. He and hi wife Theresa, live in a small town in western Connecticut, and he has run the Boston Marathon every year since 1973.

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