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N.Mukunda :: Lecture on Classical Mechanics

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These are a set of lectures given by Prof.N. Mukunda in AIS workshop(2011) organised by School of Mathematics Univeristy of Hyderabad. The contents are as follows.

  1. Introduction -------------------------------------------------------------------------------------------------------  2
  2. Transition from Newtonian to Lagrangian forms of EoM  ------------------------------------------  4
  3. Hamilton's Principle  ----------------------------------------------------------------------------------------------------------13
  4.  Transition from Lagrangian EoM to Hamiltonian EoM  ------------------------------------------- 17
  5.  Poisson Brackets, Canonical transformations,
    the Covariance group of the Hamiltonian EoM ------------------------------------------------------- 20
  6. A role for the Action as a function     ---------------------------------------------------------------------- 30
  7.  Symmetries, Conservation Laws, Noether's Theorem and beyond   ------------------------- 31
  8.  Hamilton-Jacobi theory - a brief look    ----------------------------------------------------------------- 38
  9.  The Dirac Theory of Constrained System  ------------------------------------------------------------ 40

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