Course Code

P205

Credit

8

Prerequisite

- None -

Total Hours

42 Lectures + 14 Tutorials

Outcome of the Course

Prepares the student in important advanced mathematical concepts and tools. This is needed for advanced physics courses such as applications of quantum mechanics in solid state physics quantum field theory and particle phenomenology.

Approval

Syllabus

- Functions of a complex variable, analytic functions, residue theorem and applications, conformal mapping, Taylor and Laurent series, analytic continuation, special analytic functions, Gamma functions, method of steepest descent
- Hilbert space, Differential operators and Sturm-Liouville theory
- Greens functions
- Generalized functions
- Cartesian tensors, 4-vectors and 4-tensors
- Elements of Group theory

Reference Books

- Mathematical Methods for Physicists by G. B. Arfken & H.J. Weber
- Complex Variables and Applications (9th Edition) by James Ward Brown, Ruel V Churchill
- Mathematical Methods for Physics by H.W. Wyld
- Mathematical Methods of Physics by J. Mathews and R. L. Walker
- Mathematics for Physicists by P. Dennery and A. Krzywicki