Skip to main content
Log in

Sobolev of the Euler school

  • Published:
Siberian Mathematical Journal Aims and scope Submit manuscript

Abstract

This is a short overview of the origins of distribution theory as well as a few signposts of the life of Sergeĭ Sobolev (1908–1989) and his contribution to the formation of the modern outlook of mathematics.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. Brylevskaya L. I., “The myth of Ostrogradskiĭ: truth and prevarication,” in: Istoriko-Matematicheskie Issledovaniya. Second Series. Issue 7 (42) [in Russian], Yanus-K, Moscow, 2002, pp. 18–38.

    Google Scholar 

  2. Varadarajan V. S., Euler Through Time: A New Look at Old Themes, Amer. Math. Soc., Providence, R.I. (2006).

    MATH  Google Scholar 

  3. Reid C., Hilbert. With an Appreciation of Hilbert’s Mathematical Work by Hermann Weyl, Springer-Verlag, Berlin etc. (1970).

    Google Scholar 

  4. Gnedenko B. V., Mikhail Vasil’evich Ostrogradskiĭ [in Russian], State Technico-Theoretical Literature Press, Moscow (1952).

    Google Scholar 

  5. Prudnikov V. E., Pafnutiĭ L’vovich Chebyshev [in Russian], Nauka Publishers, Leningrad (1976).

    Google Scholar 

  6. Smirnov V. I. (ed.), Mathematics in Petersburg-Leningrad University [in Russian], Leningrad University Press, Leningrad (1970).

    Google Scholar 

  7. Ramazanov M. D. (ed.), Sergeĭ L’vovich Sobolev. Pages of His Life in the Remembrances of Contemporaries [in Russian], Institute of Mathematics and Computer Center of the Ural Division of the RAS, Ufa (2003).

    Google Scholar 

  8. Ladyzhenskaya O. A. and Babich V. M. (eds.), Vladimir Ivanovich Smirnov (1887–1974). Second Edition [in Russian], Nauka Publishers, Moscow (2006).

    MATH  Google Scholar 

  9. Sobolev S. L., Selected Works. Vol. 2 [in Russian], Sobolev Institute of Mathematics, Novosibirsk (2006).

    Google Scholar 

  10. Smirnov V. I. and Sobolev S. L., “A biographical essay [Nikolaĭ Maksimovich Günter (1871–1941)],” in: Günter N. M., Potential Theory and Its Application to Basic Problems of Mathematical Physics [in Russian], State Technico-Theoretical Literature Press, Moscow, 1953, pp. 393–405.

    Google Scholar 

  11. Neumann Johann v., Mathematische Grundlagen der Quantenmechanik [in German], Berlin, Springer-Verlag (1932).

    Google Scholar 

  12. Kantorovich L. V., “On certain general methods of the extension of Hilbert space,” in: Selected Works. Part I, Gordon and Breach Publishers, Amsterdam, 1996, pp. 203–206.

    Google Scholar 

  13. Kantorovich L. V., “On certain particular methods of the extension of Hilbert space,” in: Selected Works. Part I, Gordon and Breach Publishers, Amsterdam, 1996, pp. 207–213.

    Google Scholar 

  14. Kantorovich V. L., Kutateladze S. S., and Fet Ya. I. (comps.), Leonid Vital’evich Kantorovich as a Scholar and Personality. Vol. 1 and 2 [in Russian], Publishing House of the Siberian Division of the Russian Academy of Science, “Geo” Affiliation, Novosibirsk (2002, 2004).

    Google Scholar 

  15. Leifert L. A., Segal B. I., and Fedorov L. I. (eds.), In the Leningrad Mathematical Front [in Russian], State Social-Economical Literature Press, Moscow; Leningrad (1931).

    Google Scholar 

  16. Kutateladze S. S., “Roots of Luzin’s case,” J. Appl. Industr. Math., 1, No. 3, 261–267 (2007).

    Article  Google Scholar 

  17. Demidov S. S. and Levshin B. V. (eds.), The Case of Academician Nikolaĭ Nikolaevich Luzin [in Russian], Russian Christian Humanitarian Institute, St. Petersburg (1999).

    Google Scholar 

  18. Ryabev L. D. (ed.), The Atomic Project of the USSR. Documents and Papers. Vol. 2: Atomic Bomb 1945–1954. Book 2 [in Russian], Nauka Publishers, Moscow; Sarov (2000).

    Google Scholar 

  19. Ryabev L. D. (ed.), The Atomic Project of the USSR. Documents and Papers. Vol. 2: Atomic Bomb 1945–1954. Book 4 [in Russian], Nauka Publishers, Moscow; Sarov (2000).

    Google Scholar 

  20. Fedoseev P. N. et al. (eds.), Philosophical Problems of the Modern Natural Sciences [in Russian], Publishing House of the Academy of Sciences of the USSR, Moscow (1959).

    Google Scholar 

  21. Dubinina L. G. and Ovchinnikova I. N. (comps.), Nikolaĭ Petrovich Dubinin and the Twentieth Century [in Russian], Nauka Publishers, Moscow (2006).

    Google Scholar 

  22. Euler L., Differential Calculus [in Russian], State Technical Press, Leningrad (1949).

    Google Scholar 

  23. Ruthing D., “Some definitions of the concept of function from Joh. Bernoulli to N. Bourbaki,” Math. Intelligencer, 6, No. 4, 72–77 (1984).

    MathSciNet  Google Scholar 

  24. Eves H., An Introduction to the History of Mathematics, Saunders Collins Publishing, Philadelphia etc. (1983).

    MATH  Google Scholar 

  25. Joseph G. G., The Crest of the Peacock: The Non-European Roots of Mathematics, Princeton University Press, Princeton (2000).

    MATH  Google Scholar 

  26. Lützen J., The Prehistory of the Theory of Distributions, Springer-Verlag, New York etc. (1982).

    MATH  Google Scholar 

  27. Demidov S. S., “The concept of solution of a differential equation in the vibrating string dispute of the eighteenth century,” in: Istoriko-Matematicheskie Issledovaniya. Issue 21 [in Russian], Nauka Publishers, Moscow, 1976, pp. 158–182.

    Google Scholar 

  28. Schwartz L., A Mathematician Grappling with His Century, Birkhaüser, Basel etc. (2001).

    MATH  Google Scholar 

  29. Kutateladze S. S., “Sergeĭ Sobolev and Laurent Schwartz,” Herald of the Russian Academy of Sciences, 75, No. 2, 183–188 (2005).

    Google Scholar 

  30. Sobolev S. L., Introduction to the Theory of Cubature Formulas [in Russian], Nauka Publishers, Moscow (1974).

    Google Scholar 

  31. Pasternak B. L., Poems [in Russian and English], Raduga Publishers, Moscow (1990).

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to S. S. Kutateladze.

Additional information

Original Russian Text Copyright © 2008 Kutateladze S. S.

On the occasion of the centenary of the birth of S. L. Sobolev.

__________

Novosibirsk. Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 5, pp. 975–985, September–October, 2008.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kutateladze, S.S. Sobolev of the Euler school. Sib Math J 49, 771–779 (2008). https://doi.org/10.1007/s11202-008-0075-z

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11202-008-0075-z

Keywords

Navigation