Hamiltonian Dynamics

  • Bhimsen K. Shivamoggi
Part of the Fluid Mechanics and Its Applications book series (FMIA, volume 103)


The goal of a physical theory is not only to give a precise mathematical formulation of observed phenomena but also to describe these effects with a minimum of fundamental postulates and in the most unified manner possible. Hamilton’s principle, which adopts a variational approach, is, in this sense, more fundamental than the Newtonian formulation.


Phase Space Canonical Transformation Representative Point Conjugate Variable Newtonian Formulation 
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  1. H. Goldstein, C. Poole, J. Safko, Classical Mechanics, 3rd edn. (Pearson, Upper Saddle River, 2002), Chap. 10 Google Scholar
  2. I. Percival, D. Richards, Introduction to Dynamics (Cambridge University Press, Cambridge, 1982) Google Scholar

Copyright information

© Springer Science+Business Media Dordrecht 2014

Authors and Affiliations

  • Bhimsen K. Shivamoggi
    • 1
  1. 1.Dept. MathematicsUniversity of Central FloridaOrlandoUSA

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