# Mathematical Method by Muhammad Usman Hamid

These notes are send by Muhammad Usman Hamid. We acknowledged his efforts to published these notes on MathCity.org.

The main objective of this course is to provide the students with a range of mathematical methods that are essential to the solution of advanced problems encountered in the fields of applied physics and engineering. In addition this course is intended to prepare the students with mathematical tools and techniques that are required in advanced courses offered in the applied physics and engineering programs.

### Summary

**Name:**Mathematical Method**Provider:**Mr. Muhammad Usman Hamid**Pages:**179 pages**Format:**PDF**Size:**3.76 MB

### What is in the notes?

**Fourier Methods:**
The Fourier transforms. Fourier analysis of the generalized
functions. The Laplace transforms. Hankel transforms for the
solution of PDEs and their application to boundary value
problems.

**Green’s Functions and Transform Methods:**
Expansion for Green’s functions. Transform methods. Closed
form Green’s functions.

**Variational Methods:**
Euler-Lagrange equations. Integrand involving one, two, three
and n variables. Special cases of Euler-Lagrange’s equations.
Necessary conditions for existence of an extremum of a
functional. Constrained maxima and minima.

**Perturbation Techniques:**
Perturbation methods for algebraic equations. Perturbation
methods for differential equations.