Euler and modern science

Abstract

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. Mikhailov 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. Ishlinskii 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. Darbes G. B. Andreeva and M. P. Vikturina 26. Eulogy in memory of Leonhard Euler Nikolai Fuss 27. Leonhard Euler's family and descendants I. R. Gekker and A. A. Euler Index.