conformal mappings

Conformal mappings are mathematical techniques used to transform shapes in a way that preserves angles. Imagine taking a flat piece of rubber and stretching it without tearing; the shapes may change in size or position, but the angles where they meet remain the same. This property makes conformal mappings particularly useful in fields like fluid dynamics and electrical engineering, as they help visualize complex problems by simplifying shapes while maintaining their fundamental geometric relationships. Essentially, they allow us to analyze and solve problems involving curves and surfaces more easily by using these transformed representations.