Recommend math topics for physics?

[Fizex]

I'll be taking calc III, diff. eq. and linear algebra this semester and I want to learn 6-10 additional topics so I can purchase some books to read during the semester. What topics would be most useful to physics?

I think differential geometry would be one. PDE's and analysis are another.

 

[sponsoredwalk]

Why don't you get https://www.amazon.com/dp/0130414085/?tag=pfamazon01-20? Do a bit of research into this book & into Forms in general, they would be a great precursor to Diff Geom. As for analysis, all I can say is type real analysis or mathematical analysis into amazon search & read the contents pages of every book & the reviews of every book, also read old PF discussions about analysis books & you'll find a book that suits you

 

[deluks917]

A very good book on DE's is Arnold Ordinary differential equations.

 

[sponsoredwalk]

A very good book on DE's is Arnold Ordinary differential equations.

Yeah but aren't the prerequisites for that book familiarity with analysis & linear algebra as
the book says? Even one person on amazon says topology, abstract algebra & diff geom
(which is probably a bit of an exaggeration). The OP is only learning LA & thinking of
analysis so a Differential equations book like Tenenbaum & Pollards one would be more apt.