Euler and Modern Science

by Bogolyubov, N. N.; Mikhailov, G. K.; Yushkevich, A. P.; Burns, Robert

• ISBN13: 9780883855645
• ISBN10: 088385564X
• Format: Hardcover
• Copyright: 2007-07-25
• Publisher: Mathematical Assn of Amer

Summary

We speak of the age of Euler. A justification of this term is provided by a list of scientific terms connected with Euler's name and his many contributions to pure mathematics, well-known in the mathematical community and, in part, covered in this volume. What makes this collection remarkable, though, is the extensive treatment of Euler's contributions outside pure mathematics - astronomy, celestial mechanics, ballistics, music and many other areas. In addition to this survey of his contributions to science, we find also rare, detailed accounts of Euler's family life and the careers pursued by his children and grandchildren. Readers otherwise well-informed about Euler and his work will find here much to enhance their appreciation of this extraordinary scientist and human being.

Table of Contents

Introduction

Translator's note

From the editors

Opening speech of the symposium 'Modern Developments of Euler's Ideas' October 24, 1983

Leonhard Euler: his life and work

Leonhard Euler, active and honored member of the Petersburg Academy of Sciences

The part played by the Petersburg Academy of Sciences (the Academy of Sciences of the USSR) in the publication of Euler's collected works

Leonhard Euler and the Berlin Academy of Sciences

Was Leonhard Euler driven from Berlin by

Euler's mathematical notebooks

On Euler's surviving manuscripts and notebooks

The manuscript materials of Euler on number theory

Euler's contribution to algebra

Diophantine equations in Euler's works

The foundations of mechanics and hydrodynamics in Euler's works

Leonhard Euler and the variational principles of mechanics

Leonhard Euler and the mechanics of elastic systems

Euler's research in mechanics during the first Petersburg period

The significance of Euler's research in ballistics

Euler and the development of astronomy in Russia

Euler and the evolution of celestial mechanics

New evidence concerning Euler's development as an astronomer and historian of science

Leonhard Euler in correspondence with Clairaut, d'Alembert and Lagrange

Letters to a German Princess and Euler's physics

Euler and

Euler and the history of a certain musical-mathematical idea

Euler's music-rheoretical manuscripts and the formation of his conception of the theory of music

An unknown portrait of Euler by

Eulogy in memory of Leonhard

Leonhard Euler's family and descendants

Index

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