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.
