Bart
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chronon, yes, you are right, but unfortunately my education system is less than bad. I am trying to cover the material I would need at Cambridge, but it isn't possible to do it instantly. I live in Poland, and emmm my maths end on derivatives - without integrals, complex numbers, etc, and many desirable topics. That's not my fault, I'm trying as hard as I can. I do maths 4 hours in a day...I have to say that if you are currently applying to do astrophysics at Cambridge then I would have expected you to have covered these mathematical topics already, so maybe you need to give the maths some thought.
I found hyperbloic geometry and complex number new to me.I would have expected chapter 7 of The Road to Reality to be the first one you found challenging.
Thanks for the links!