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The Classical Formulations of Dynamics of Hamilton and Lagrange

  • José F. Cariñena
  • Alberto Ibort
  • Giuseppe Marmo
  • Giuseppe Morandi
Chapter

Abstract

The present chapter is perhaps the place where our discourse meets more neatly the classic textbooks on the subject. Most classical books concentrate on the description of the formalisms developed by Lagrange and Euler on one side, and Hamilton and Jacobi on the other and commonly called today the Lagrangian and the Hamiltonian formalism respectively. The approach taken by many authors is that of postulating that the equations of dynamics are derived from variational principles (a route whose historical episodes are plenty of lights and shadows [Ma84]).

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Copyright information

© Springer Science+Business Media Dordrecht 2015

Authors and Affiliations

  • José F. Cariñena
    • 1
  • Alberto Ibort
    • 2
  • Giuseppe Marmo
    • 3
  • Giuseppe Morandi
    • 4
  1. 1.Departamento de Física TeóricaUniversidad de ZaragozaZaragozaSpain
  2. 2.Departamento de MatemáticasUniversidad Carlos III de MadridMadridSpain
  3. 3.Dipartimento di FisicheUniversitá di Napoli “Federico II”NapoliItaly
  4. 4.INFN Sezione di BolognaUniversitá di BolognaBolognaItaly

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