Complex transformations are explained in plain English.

Fredholm Integral Equations : Methods and Applications - ijsrst

: The text provides precise guidelines for basic solution methods and includes more varied numerical techniques than many competing texts. Practical Emphasis

Consider a simple example: The voltage in an electrical circuit or the temperature distribution in a rod. If you know the source (input) and the kernel (the system's response function), you often end up with an equation where the unknown function lies inside an integral.

The kernel is the function inside the integral. Its nature dictates the solution method: