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Variational problems

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Part of the book series: Mathematics and Its Applications ((MAIA,volume 299))

Abstract

In this volume we are not particularly concerned with variational problems, although we shortly deal with Lagrangian and Hamiltonian mechanics in chapt. IV, and will consider gauge theories - which are set in variational terms - in chapts. VII and VIII.

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References

  1. R. Abraham and J.E. Marsden, ”Foundations of mechanics”, Benjamin, New York (1978)

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  2. V.I. Arnold, ”Les methodes mathematiques de la mecanique classique”, M.I.R., Moscow (1976); ”Mathematical Methods of Classical Mechanics”; Springer, Berlin, 1978; II ed., 1989

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  3. G.W. Bluman and S. Kumei: ”Symmetries and differential equations”; Springer, New York, 1989

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  4. E. Noether: ”Invariante Variationsprobleme”, Nachr. Konig. Gesell. Wissen. Gottingen (1918), 235. English translation in: Transp. Th. Stat. Phys. 1 (1971), 186

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  5. P.J. Olver: ”Application of Lie groups to differential equations”; Springer, New York, 1986

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© 1994 Springer Science+Business Media Dordrecht

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Gaeta, G. (1994). Variational problems. In: Nonlinear Symmetries and Nonlinear Equations. Mathematics and Its Applications, vol 299. Springer, Dordrecht. https://doi.org/10.1007/978-94-011-1018-1_5

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  • DOI: https://doi.org/10.1007/978-94-011-1018-1_5

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-94-010-4443-1

  • Online ISBN: 978-94-011-1018-1

  • eBook Packages: Springer Book Archive

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