I am looking for a work that treats the foundations of mathematics (linear algebra, real analysis, vector analysis, complex analysis…) in particular insofar they find application in mathematical physics and are presented with direct motivation from the field of [mathematical] physics.
The best thing I found in this regards so far is
- Mathematical Physics by Sadri Hassani
- Physics for Mathematicians, Mechanics I by Michael Spivak
I do have various gripes with both of these books though, the former is more of a collection of knowledge rather than a pedagogical presentation of it, the latter is focused on physics rather than mathematics and rather convoluted for my taste.
Any help is much appreciated.