The Early Mathematics of Leonhard Euler (Maa Tercentenary Euler Celebration) - Hardcover

Sandifer, C. Edward

 
9780883855591: The Early Mathematics of Leonhard Euler (Maa Tercentenary Euler Celebration)
Hardcover
ISBN 10: 0883855593 ISBN 13: 9780883855591
Verlag: CAMBRIDGE, 2007

Inhaltsangabe

A portrait of Euler's early mathematics between 1725 and 1741, rich in technical detail.

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Über die Autorin bzw. den Autor

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.

Aus dem Klappentext

The Early Mathematics of Leonhard Euler gives an article-by-article description of Leonhard Eulers early mathematical works, the 50 or so mathematical articles he wrote before he left St. Petersburg in 1741 to join the Academy of Frederick the Great in Berlin. These early pieces contain some of Eulers greatest work, the Königsberg bridge problem, his solution to the Basel problem, and his first proof of the Euler-Fermat theorem. It also presents important results that we seldom realize are due to Euler; that mixed partial derivatives are (usually) equal, our f(x) notation, and the integrating factor in differential equations. The books shows how contributions in diverse fields are related, how number theory relates to series, which, in turn, relate to elliptic integrals and then to differential equations. There are dozens of such strands in this beautiful web of mathematics. At the same time, we see Euler grow in power and sophistication, from a young student when at 18 he published his first work on differential equations (a paper with a serious flaw) to the most celebrated mathematician and scientist of his time. It is a portrait of the worlds most exciting mathematics between 1725 and 1741, rich in technical detail, woven with connections within Eulers work and with the work of other mathematicians in other times and places, laced with historical context.

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Verlag
CAMBRIDGE
Erscheinungsdatum
2007
Sprache
Englisch
ISBN 10 
0883855593
ISBN 13 
9780883855591
Einband
Gebundene Ausgabe
Anzahl der Seiten
414
Kontakt zum Hersteller
Nicht verfügbar
Verantwortliche Person
Nicht verfügbar

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9781470451806: The Early Mathematics of Leonhard Euler (Spectrum, 98, Band 98)

Vorgestellte Ausgabe

ISBN 10:  1470451808 ISBN 13:  9781470451806
Verlag: American Mathematical Society, 2020
Softcover