Learning Real Analysis at My Own Pace

[Frabjous]

Can anyone answer my question? I have knowledge roughly of a freshman.

How far have you read into Klein/Sommerfeld?

 

[Mr.Husky]

How far have you read into Klein/Sommerfeld?

Nothing. Stopped after hearing elliptic functions.

 

[Frabjous]

Nothing. Stopped after hearing elliptic functions.

Exactly. You stopped at Chapter 0. You are not ready for it.

You have a freshman’s knowledge, but do not want to pursue intermediate classical, qm or em, although you might look at Susskind’s theoetical minimum books and lectures.
For classical, I would suggest looking at thermodynamics, waves, optics, fluid dynamics or relativity. If you are set on rigid bodies, pick up an engineering book on the subject.
For quantum, I would suggest starting with a “modern physics” book.
There is always Feynman.
Theoretical Concepts in Physics by Longair.
Dimensional Analysis by Bridgman
Gravity by Schutz
Nonlinear dynamics and chaos by Strogatz
Physics of the Earth by Stacey
An astronomy book
An Introduction to Error Analysis by Taylor

 

[mathwonk]

You show extremely good taste in books. However the ones you have listed already would require years of study for most people. So instead of suggesting more, I recommend that you actually dive into some of the ones you already have, e.g. Spivak, and Hilbert-Cohn Vossen. You will be well repaid for the time spent reading them in depth and working as many exercises as possible.

 

[Mr.Husky]

Thanks @caz and @mathwonk for your suggestions. I will keep them in mind. Thanks everyone here for helping me.