Gerard 't Hooft
How to become a
GOOD Theoretical Physicist
- Group theory, and the linear representations of groups
- Lie group theory
- Vectors and tensors
- More techniques to solve (partial) differential and integral equations
- Extremum principle and approximation techniques based on that
- Difference equations
- Generating functions
- Hilbert space
- Introduction to the functional integral
- See John Heinbockel, Virginia.
- See Chr. Pope: Methods2.
- Mathematics textbooks list. (Link not working; working on finding an alternative)
- G.’t Hooft: Lie groups in Physics, (now also in English) + exercises.
- For Lie Groups, see also the last section of Chr. Pope’s lectures (under “General Relativity”).
- The special functions and polynomials(PDF) (just understand the principles).