0
$\begingroup$

I'm looking for books / articles that provide rigorous formulations of Hamiltonian mechanics on Manifolds. I found the book "Global Formulations of Lagrangian and Hamiltonian Dynamics on Manifolds" [1] by Lee, Leok and McClamroch, but I'm looking for more references.

My goal is to study the math behind those formulations and what problems still demand rigorous definitions.

[1] - http://www.math.ucsd.edu/~mleok/pdf/LHDynamics.pdf

Improve this question
$\endgroup$
1
  • $\begingroup$ Any book on classical mechanics will deal with it: two examples are 1. Goldstein 2. Gantmacher $\endgroup$
    – gented
    May 27, 2019 at 19:54

2 Answers 2

Reset to default
2
$\begingroup$

Another good reference:

Improve this answer
$\endgroup$
0
$\begingroup$

Arnold' work is great. The Russian school of writing a textbook. More abstract and more comprehensive is the American "bible" on mathematical mechanics>

Abraham & Marsden, "Foundations of Mechanics".

https://www.amazon.com/Foundations-Mechanics-2nd-Ralph-Abraham/dp/080530102X

Improve this answer
$\endgroup$

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service and acknowledge that you have read and understand our privacy policy and code of conduct.