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Summary
Summary
This book is an English translation of a collection of papers in Russian from a conference held in Moscow and St. Petersburg in 1983, 200 years after Euler's death. Two of the Russian papers in the collection are themselves translations from the German. The present English translation appears in 2007, 300 years after his birth. 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-to astronomy, celestial mechanics, ballistics, history of science, instruments and technology, physics, mechanics, hydromechanics, mechanics of elastic systems, variational principles of mechanics, and a mathematical theory of music. In addition to this survey of his contributions to science, we find here material otherwise very difficult to find 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. For significant and factual knowledge of Euler's contributions to science past and present, this book is easily the best available choice.
Reviews 1
Choice Review
This book is a translation from the Russian of papers from a 1983 Moscow/St. Petersburg conference that marked the second centennial anniversary of Leonhard Euler's death. The papers, by a stellar assembly of Russian scholars, are of uniformly high quality. They cover seemingly every aspect of Euler's life and work, from the well-known areas such as number theory and analysis to the lesser-known (at least to this reviewer) such as algebra and music theory. The papers on Euler's mathematics are written at a technical level that will satisfy mathematicians, professional historians of mathematics, and graduate students in both areas. Most undergraduates, however, will probably find these fairly mystifying. The less technical essays, such as those on Euler's theory of music and on his exchanges of letters with Clairaut, d'Alembert, and Lagrange, would be useful to advanced undergraduates researching Euler. For libraries serving these audiences, this book is an absolutely essential resource. Summing Up: Essential. Upper-division undergraduates through faculty. A. B. Riskin Mary Baldwin College
Table of Contents
Introduction |
Translator's note |
From the editors |
1 Opening speech of the symposium 'Modern Developments of Euler's Ideas' October 24, 1983A. P. Aleksandrov |
2 Leonhard Euler: his life and workA. P. Yushkevich |
3 Leonhard Euler, active and honored member of the Petersburg Academy of SciencesYu. Kh. Kopelevich |
4 The part played by the Petersburg Academy of Sciences (the Academy of Sciences of the USSR) in the publication of Euler's collected worksE. P. Ozhigova |
5 Leonhard Euler and the Berlin Academy of SciencesK. Grau |
6 Was Leonhard Euler driven from Berlin byJ. H. Lambert? K.-R. Biermann |
7 Euler's mathematical notebooksE. Knobloch |
8 On Euler's surviving manuscripts and notebooksG. P. Matvievskaya |
9 The manuscript materials of Euler on number theoryG. P. Matvievskaya and E. P. Ozhigova |
10 Euler's contribution to algebraI. G. Bashmakova |
11 Diophantine equations in Euler's worksT. A. Lavrinenko |
12 The foundations of mechanics and hydrodynamics in Euler's worksG. K. Mikhaġlov and L. I. Sedov |
13 Leonhard Euler and the variational principles of mechanicsV. V. Rumyantsev |
14 Leonhard Euler and the mechanics of elastic systemsN. V. Banichuk and A. Yu. Ishlinskiġ |
15 Euler's research in mechanics during the first Petersburg periodN. N. Polyakhov |
16 The significance of Euler's research in ballisticsA. P. Mandryka |
17 Euler and the development of astronomy in RussiaV. K. Abalakin and E. A. Grebenikov |
18 Euler and the evolution of celestial mechanicsN. I. Nevskaya and K. V. Kholshevnikov |
19 New evidence concerning Euler's development as an astronomer and historian of scienceN. I. Nevskaya |
20 Leonhard Euler in correspondence with Clairaut, d'Alembert and LagrangeA. P. Yushkevich and R. Taton |
21 Letters to a German Princess and Euler's physicsA. T. Grigor'ian and V. S. Kirsanov |
22 Euler andI. P. Kulibin N. M. Raskin |
23 Euler and the history of a certain musical-mathematical ideaE. V. Gertsman |
24 Euler's music-rheoretical manuscripts and the formation of his conception of the theory of musicS. S. Tserlyuk-Askadskaya |
25 An unknown portrait of Euler byJ. F. A. DarbÃ(c)s G. B. Andreeva and M. P. Vikturina |
26 Eulogy in memory of LeonhardEuler Nikolaġ Fuss |
27 Leonhard Euler's family and descendantsI. R. Gekker and A. A. Euler |
Index |