Complex Analysis
Explore complex functions; integration and singularities; mappings and global behavior. Concepts and connections are available independently of video coverage.
FOLLOW AN IDEA
Complex numbers
A complex number has real and imaginary parts and is represented on the complex plane.
Explore concept graph · Explore connected videos
Different ways to understand it
No reviewed video yet. Explore the concept in a map or suggest a resource. Suggest a video
More concepts to explore
Cauchy–Riemann equations
Complex differentiability imposes relations between real and imaginary partial derivatives.
Complex contour integrals
Complex integration accumulates function values along an oriented parameterized curve.
Complex exponentials
Euler's formula links complex exponentials to cosine and sine for real angles.
Derivatives
A derivative is the limit of a difference quotient, measuring local rate of change when that limit exists.
Holomorphic functions
A function is holomorphic when complex differentiable throughout an open neighborhood.
Knowledge connections
- Complex exponentials · Related · Map context
- Cauchy–Riemann equations · Related · Map context
- Derivatives · Related · Map context
- Complex contour integrals · Related · Map context
- Holomorphic functions · Next concept · Map context