- #1

rajsekharnath

- 14

- 2

**TL;DR Summary:**Here I am asking for some opinions and recommendations for mathematically rigorous books that should be taken as an interested physics student. I know the question is quite subjective but any insightful answer is appreciated.

I am willing to join undergraduate physics classes this august, being specific I want to know what level of mathematical rigour I need to outperform in the "physics", like should I take some courses(self-study) on the mathematics generally math majors take?

For example few days ago I came across Vector Analysis in the first chapter of Griffith's Electrodynamics book, then willing to know more on that topic I got to know about the book Vector Calculus by Susan Jane Colley, I studied some of the former chapters of that book and enjoyed the mathematics.So basically my question is do I need to do the same for the other mathematical topics required for physics like linear algebra, variational calculus, complex analysis, tensor analysis, differential geometry and so on?

My main interest is in physics although I enjoy the mathematics also and want to know about the math in some more depth than ordinary folks. Finally to conclude, will studying the mathematics with that much rigour will even benefit me? Like will it give me an extra edge later in my post-graduate studies and my career?

Also recommendations of books for the above mentioned math topics for the level of rigour I am asking for will be beneficiary

Last edited by a moderator: