How i should proceed after reading Boas' book?

[Andreol263]

I'm on final of the chapter 7 yet, but i want to know when i finish this book, which book i should get to continue to learn the math necessary to more advance topics(GR, Condensed Matter, EM Theory(Jackson level), Analytic Mechanics and others..)? and if exists a book like Boas i would be so happy, i LOVE this book, the first chapter is VERY boring, but from the section of Power Series Expansion and so on it's very interesting,i would recommend to everyone!

 

[KiggenPig]

Are you reading the book as a novel, or actually working through the many problems?

 

[Geofleur]

After Boas, I studied Don Koks' Explorations in Mathematical Physics. It's a very good book, but a couple of caveats:

(1) There are no problems to be worked, it isn't a textbook. The value is that the book is stuffed with valuable insights about the mathematical language underlying physics.

(2) This book takes a somewhat unorthodox approach toward tensors, avoiding the use of one-forms. It would be good to follow up later with, say, at least the first part of Frankel's Geometry of Physics.

 

[Andreol263]

I'm working through the problems yes, but not all the problems, for example: in the exercises exists certain problems that make you use the SAME method many times, that problems i make only one of them, but for problems that take in other methods or need to use derive a something, certainly i will do these problems.

 

[Student100]

I'm on final of the chapter 7 yet, but i want to know when i finish this book, which book i should get to continue to learn the math necessary to more advance topics(GR, Condensed Matter, EM Theory(Jackson level), Analytic Mechanics and others..)? and if exists a book like Boas i would be so happy, i LOVE this book, the first chapter is VERY boring, but from the section of Power Series Expansion and so on it's very interesting,i would recommend to everyone!

https://www.amazon.com/dp/048667164X/?tag=pfamazon01-20

Is currently what I'm working through. There is overlap with Boa's here, but other topics are more developed. It's also cheap, which is a plus.

Honestly though, if you study the topics above from a physics text that should be more than sufficient, as no math methods book is going to cover every mathematical topic needed to do all the above.