In the previous set of notes we introduced the notion of a *complex diffeomorphism* between two open subsets of the complex plane (or more generally, two Riemann surfaces): an invertible holomorphic map whose inverse was also holomorphic. 13,364 more words

## Tags » Conformal Mapping

#### 246A, Notes 5: conformal mapping

#### Visualizing Complex Functions with Conformal Mapping

For the thoroughly modern calculus student, an introduction to Complex Variables is all the more daunting because we don’t have the kind of geometric intuition-building machinery available to us for functions as we did for real-valued functions in calculus. 202 more words