Briefwechsel von Leonhard Euler mit Johann I Bernoulli und Niklaus I Bernoulli

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Springer Science & Business Media, May 28, 1997 - Education - 747 pages
This is Volume 2 of the envisaged ten-book series and the fourth work to be released to date. It contains complete transcripts of the letters - the majority were composed in Latin - which Euler exchanged with Johann I Bernoulli and Nikolaus I Bernoulli; full translation of all letters; and also critical, historico scientific commentaries. The present edition is uniquely comprehensive, taking into account all known manuscripts. Central topics are: analysis, differential equations, calculus of variations, mechanics, hydromechanics, hydraulics and theory of planetary motions.
 

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Contents

Vorwort der Herausgeber
ix
Allgemeine Einleitung 7
9
Einleitung zum Briefwechsel Eulers mit Johann I Bernoulli
29
Der Briefwechsel Leonhard Eulers mit Johann I Bernoulli
73
Einleitung zum Briefwechsel Eulers mitNiklaus I Bernoulli
459
Der Briefwechsel Leonhard Eulers mit Niklaus I Bernoulli
481
Briefwechsel Johann I Bernoullis mit der Verwaltung
647
Unveröffentlichter Text aus Johann I Bernoullis Hydraulica
658
Abhandlung Niklaus I Bernoullis über die Summe der reziproken
668
Bibliographie
679
Namenregister
716
Systematisches Sachregister
740
Copyright

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About the author (1997)

Leonhard Euler was one of the most prolific mathematicians of all time, amassing nearly 900 publications over the course of his lifetime. Born in Basel, Switzerland, Euler spent substantial amounts of time promoting mathematics at the courts of Berlin and St. Petersburg. Euler was adept at pure and applied mathematics. His textbooks on algebra and calculus became classics and for generations remained standard introductions to both subjects. He also made seminal advances in the theory of differential equations, number theory, mechanics, astronomy, hydraulics, and the calculus of variations. In 1738, Euler lost vision in one eye. In time, he became totally blind but continued to write. During his life, Euler published more than 800 books, most of them in Latin. Euler died in 1783.

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