Uspekhi Matematicheskikh Nauk
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor
Subscription
License agreement
Submit a manuscript

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Uspekhi Mat. Nauk:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Uspekhi Mat. Nauk, 2007, Volume 62, Issue 4(376), Pages 3–26 (Mi umn6846)  

This article is cited in 5 scientific papers (total in 5 papers)

Euler and mathematical methods in mechanics (on the 300th anniversary of the birth of Leonhard Euler)

V. V. Kozlov

Steklov Mathematical Institute, Russian Academy of Sciences

Abstract: This article concerns the life of Leonhard Euler and his achievements in theoretical mechanics. A number of topics are discussed related to the development of Euler's ideas and methods: divergent series and asymptotics of solutions of non-linear differential equations; the hydrodynamics of a perfect fluid and Hamiltonian systems; vortex theory for systems on Lie groups with left-invariant kinetic energy; energy criteria of stability; Euler's problem of two gravitating centres in curved spaces.

DOI: https://doi.org/10.4213/rm6846

Full text: PDF file (574 kB)
References: PDF file   HTML file

English version:
Russian Mathematical Surveys, 2007, 62:4, 639–661

Bibliographic databases:

UDC: 531.01
MSC: Primary 01A70; Secondary 35Q05, 35Q35, 40G05, 70F15, 70H20
Received: 25.03.2007

Citation: V. V. Kozlov, “Euler and mathematical methods in mechanics (on the 300th anniversary of the birth of Leonhard Euler)”, Uspekhi Mat. Nauk, 62:4(376) (2007), 3–26; Russian Math. Surveys, 62:4 (2007), 639–661

Citation in format AMSBIB
\Bibitem{Koz07}
\by V.~V.~Kozlov
\paper Euler and mathematical methods in mechanics (on the 300th anniversary of the birth of Leonhard Euler)
\jour Uspekhi Mat. Nauk
\yr 2007
\vol 62
\issue 4(376)
\pages 3--26
\mathnet{http://mi.mathnet.ru/umn6846}
\crossref{https://doi.org/10.4213/rm6846}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2358735}
\zmath{https://zbmath.org/?q=an:1140.01017}
\adsnasa{http://adsabs.harvard.edu/cgi-bin/bib_query?2007RuMaS..62..639K}
\elib{https://elibrary.ru/item.asp?id=25787415}
\transl
\jour Russian Math. Surveys
\yr 2007
\vol 62
\issue 4
\pages 639--661
\crossref{https://doi.org/10.1070/RM2007v062n04ABEH004427}
\isi{http://gateway.isiknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&DestLinkType=FullRecord&DestApp=ALL_WOS&KeyUT=000251687100001}
\elib{https://elibrary.ru/item.asp?id=13534287}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-38148999385}


Linking options:
  • http://mi.mathnet.ru/eng/umn6846
  • https://doi.org/10.4213/rm6846
  • http://mi.mathnet.ru/eng/umn/v62/i4/p3

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    Related presentations:

    This publication is cited in the following articles:
    1. Weniger E.J., “On the analyticity of Laguerre series”, J. Phys. A, 41:42 (2008), 425207, 43 pp.  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus
    2. Zapechnikov S.V., “Iz istorii kriptografii: vklad Leonarda Eilera v stanovlenie matematicheskikh osnov sovremennoi kriptologii”, Vestn. Rossiiskogo gosudarstvennogo gumanitarnogo universiteta, 2012, no. 14, 29–52  elib
    3. Riccardo Borghi, E.J.oachim Weniger, “Convergence analysis of the summation of the factorially divergent Euler series by Padé approximants and the delta transformation”, Applied Numerical Mathematics, 94 (2015), 149  crossref  mathscinet  zmath  isi  scopus
    4. A. V. Borisov, I. S. Mamaev, I. A. Bizyaev, “Istoriko-kriticheskii obzor razvitiya negolonomnoi mekhaniki: klassicheskii period”, Nelineinaya dinam., 12:3 (2016), 385–411  mathnet  crossref  zmath  elib
    5. Alexey V. Borisov, Ivan S. Mamaev, Ivan A. Bizyaev, “Historical and Critical Review of the Development of Nonholonomic Mechanics: the Classical Period”, Regul. Chaotic Dyn., 21:4 (2016), 455–476  mathnet  crossref
  • Успехи математических наук Russian Mathematical Surveys
    Number of views:
    This page:980
    Full text:440
    References:63
    First page:16

     
    Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2021