Complex Analysis For Mathematics And Engineerin... «TRUSTED - SECRETS»

If a function is analytic within a simple closed loop, the integral around that loop is zero.

The "litmus test" for analyticity. For , the partial derivatives must satisfy 2. Integration in the Complex Plane Complex Analysis for Mathematics and Engineerin...

Representing functions as infinite sums. Laurent series are particularly useful because they describe functions near their singularities. If a function is analytic within a simple

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 solve it there