I am studying the basics of Quantum Physics (involving the characteristics of Schrodinger's Wave equation without actually analyzing it rigorously mathematically) this semester. I was wondering, however, if I did study it in the context of a mathematical background, it would be a great help.
I wish to know what the prerequisites for studying PDEs and Probability Distributions are. I have already studied the following topics:
- Single-Variable Calculus
- Partial Differentiation
- ODEs (just the basics)
I would be grateful to learn what roadmap I should follow for learning to analyze and solve PDEs and also Probability Distributions. Also, kindly list a few textbooks to follow for the same. Thanks