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I did high school physics in grade 9, calculus in grade 10, first yr uni physics g11, and intro to real analysis, i finished 1/2 of john taylor's classical mechanics, now almost done griffith's electrodynamics, and i read most of Boas' methods in physical sciences.

So now im just confused, in which direction should i head (excuse me for the vague question, please read on) i also enjoy math, especially rigorous math (and phycists tend to be very sloppy) so i read trench's introduction to real analysis, and is reading pugh's real analysis, however i seeem to have hard time with the vector calculus presented in such abstract manner, and lesbeguese theory is a hell of a theory to me. so im just wondering, are there suitable math books (the ones that do legitimate proofs instead of shuffling it under the carpet) suitable for my current level? intro to complex analysis maybe? tensor analysis? ( i had a look at rudin's book and it gives me nightmares) or more rigours books on mathematical physics? ( i really like calculus and analysis, maybe i should wait to mature a bit before returning to Pugh?) also heading onto university would it still help for me to read so much on my own time or focus more on the curriculum? im looking to be a theoretical/ mathematical phyicist.

thanks

Bigerst