Action-Angle variables for periodic systems, Adiabatic invariants

 The following is my project submission for the course PH3500 at IIT Madras. I chose to present the topic of the Action-Angle transformation and demonstrate it's elegance with regard to analysing periodic systems, and as a systematic approach to finding Adiabatic Invariants. I also illustrate a simple application of the concept of Adiabatic Invariants to approximately solve some mechanical problems.

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