Department of Physics

10ΥΚΟ15 Mathematical Methods in Physics I

Course webpage:  https://eclass.uoa.gr/courses/PHYS278

Course outline

Course content

• Complex numbers. Elementary functions of a complex variable. Multivalued functions. Branches.
• Continuity. Derivative of a complex function. Analytic functions and Cauchy – Riemann equations. Harmonic functions.
• Mapping by elementary functions. Conformal mapping and applications in physics.
• Complex power series. Taylor and Laurent series. Classification of singularities.
• Cauchy theorem and residue theorem. Evaluation of integrals.
• Fourier transform. Applications to partial differential equations. Stationary phase method.