Euler and Modern Science

Explore Euler's extraordinary contribution to pure mathematics and beyond, in areas such as astronomy and music.

N. N. Bogolyubov (Edited by), G. K. Mikhailov (Edited by), A. P. Yushkevich (Edited by), Robert Burns (Translated by)

9780883855645, The Mathematical Association of America

Hardback, published 14 February 2008

440 pages
26 x 18.3 x 2.7 cm, 0.926 kg

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.

Introduction
Translator's note
From the editors
1. Opening speech of the symposium 'Modern Developments of Euler's Ideas' October 24, 1983 A. P. Aleksandrov
2. Leonhard Euler: his life and work A. P. Yushkevich
3. Leonhard Euler, active and honored member of the Petersburg Academy of Sciences Yu. 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 works E. P. Ozhigova
5. Leonhard Euler and the Berlin Academy of Sciences K. Grau
6. Was Leonhard Euler driven from Berlin by J. H. Lambert? K.-R. Biermann
7. Euler's mathematical notebooks E. Knobloch
8. On Euler's surviving manuscripts and notebooks G. P. Matvievskaya
9. The manuscript materials of Euler on number theory G. P. Matvievskaya and E. P. Ozhigova
10. Euler's contribution to algebra I. G. Bashmakova
11. Diophantine equations in Euler's works T. A. Lavrinenko
12. The foundations of mechanics and hydrodynamics in Euler's works G. K. Mikhaĭlov and L. I. Sedov
13. Leonhard Euler and the variational principles of mechanics V. V. Rumyantsev
14. Leonhard Euler and the mechanics of elastic systems N. V. Banichuk and A. Yu. Ishlinskiĭ
15. Euler's research in mechanics during the first Petersburg period N. N. Polyakhov
16. The significance of Euler's research in ballistics A. P. Mandryka
17. Euler and the development of astronomy in Russia V. K. Abalakin and E. A. Grebenikov
18. Euler and the evolution of celestial mechanics N. I. Nevskaya and K. V. Kholshevnikov
19. New evidence concerning Euler's development as an astronomer and historian of science N. I. Nevskaya
20. Leonhard Euler in correspondence with Clairaut, d'Alembert and Lagrange A. P. Yushkevich and R. Taton
21. Letters to a German Princess and Euler's physics A. T. Grigor'ian and V. S. Kirsanov
22. Euler and I. P. Kulibin N. M. Raskin
23. Euler and the history of a certain musical-mathematical idea E. V. Gertsman
24. Euler's music-rheoretical manuscripts and the formation of his conception of the theory of music S. S. Tserlyuk-Askadskaya
25. An unknown portrait of Euler by J. F. A. Darbés G. B. Andreeva and M. P. Vikturina
26. Eulogy in memory of Leonhard Euler Nikolaĭ Fuss
27. Leonhard Euler's family and descendants I. R. Gekker and A. A. Euler
Index.

Subject Areas: History of science [PDX], History of mathematics [PBX], Mathematics [PB]