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I am from Singapore, a civil engineering graduate and I've graduated from university in 2009.
Throughout my school days I've been interested in Physics, unfortunately I was not accepted into the local university as my grades did not match up. And I couldn't afford to study abroad. Hence I took up whatever was offered to me at that point; civil engineering.
Right now, I'm on a mission to self-study theoretical physics so that I can fully appreciate the beauty of it; I mean right down to the deep mathematical level of it. I am particularly interested in the subjects: General Relativity, Quantum Theory, M-theory. I acknowledge that first of all I'd have to master the math before I can delve deeper into the theoretical physics subjects.
I would like to ask forumers the following questions:
(1) - May I know what are the sequence of math & physics topics I have to master? I mean in a step-by-step way starting from high school level knowledge.
(2) - Could you recommend texts both from the math & the theoretical physics side? Based on my research I have shortlisted a few and they are
(a) Introduction to Mathematical Physics: Methods and Concepts by Chun Wa Wong. (b) A course in theoretical physics by P. john Shepherd (c) Introduction to Modern Physics: Theoretical Foundations by John Dirk Walecka & (d) A Unified Grand Tour of Theoretical Physics, Third Edition by Ian D. Lawrie.
Are these books suitable and good for my cause? What other textbooks do you all recommend? I am willing to self-study patiently even if it takes me 10 years.