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