Classical Mechanics
In spite of the qualifying exam in reviewing classical mechanics’ topics, this time the book I’m using is Mathematical Methods of Classical Mechanics by V. I. Arnold.
What a great book… despite the author is a mathematician, he gives the physical intuition and lots of examples. Furthermore, the selection of problem goes from very basics up to “almost impossible” ones.

The second chapter (on the equations of motion), begins with an introduction of stability of differential equations and flows, et cetera. and ends with the method of similarity… section with is even better than the equivalent section on Landau-Lifschitz’s book. The final section of the fifth chapter describes parametric oscillations. Similarly, the sixth chapter bring a detailed treatment of the rigid bodies mechanics. And so on. Try it, you’ll love it.

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