This allows engineers to map a complicated geometry (like airflow around an airplane wing) into a simple geometry (like flow around a cylinder), solve it there, and map the solution back. 5. Why it Matters to Engineers
Analyzing the stability of systems via the "s-plane" or "z-plane." Complex Analysis for Mathematics and Engineerin...
Allows you to find the value of an analytic function inside a boundary just by knowing its values on the boundary. It implies that if a function is differentiable once, it is infinitely differentiable. This allows engineers to map a complicated geometry
Representing functions as infinite sums. Laurent series are particularly useful because they describe functions near their singularities. It implies that if a function is differentiable
Used to model potential flow and aerodynamics.
If a function is analytic within a simple closed loop, the integral around that loop is zero.