Which Advanced Mathematical Physics Books Should I Read?

[Boltzmann2012]

Hey guys, I have seen many posts on the same topic but I was unable to come to a coherent conclusion. I have seen people referring to Arfken or Mary Boas.
I have sufficient knowledge in linear algebra, statistics and calculus in many variables. I am presently taking a course in complex analysis. I would like to know if there is any book on a slightly higher footing which would help me understand the advanced math in quantum mechanics and general relativity.

Regards
Boltzmann 2012

 

[Huqinpku]

It looks like this book is a good fit to you:

Peter Szekeres - A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry
https://www.amazon.com/dp/0521829607/?tag=pfamazon01-20

I'm currently studying this book. It covers the mathematics for both quantum mechanics and general relativity.

 

[alissca123]

It looks like this book is a good fit to you:

Peter Szekeres - A Course in Modern Mathematical Physics: Groups, Hilbert Space and Differential Geometry
https://www.amazon.com/dp/0521829607/?tag=pfamazon01-20

I'm currently studying this book. It covers the mathematics for both quantum mechanics and general relativity.

I second this reccomendation, it's a very nice book. Stay away from Arfken!

 

[Jorriss]

Arfken is very good but it's not what I consider a 'mathematical physics' textbook. It's a cookbook for solving problems, not learning the math necessary for formalism.

 

[Lavabug]

I haven't read this yet, but this sounds like what you're looking for:

https://www.amazon.com/dp/1107602602/?tag=pfamazon01-20

I second the comments about Arfken. It's more of an encyclopedia of math concepts for physics problems than it is a math or physics book.

 

[robphy]

While Frankel is interesting (I recently checked it out from my library),
it is focused on "Geometry" [as its title suggests].
I think Szekeres would be more appropriate for the OP.