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 exponentials
Euler's formula links complex exponentials to cosine and sine for real angles.
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
Complex numbers
A complex number has real and imaginary parts and is represented on the complex plane.
Holomorphic functions
A function is holomorphic when complex differentiable throughout an open neighborhood.
Sinusoidal models
Amplitude, frequency and phase describe a sinusoidal oscillation.
Trigonometric periodicity
Sine and cosine repeat after a full turn; tangent repeats after a half turn on its domain.
Angle addition formulas
Addition formulas express trigonometric functions of summed angles using individual angles.
Knowledge connections
- Sinusoidal models · Related · Map context
- Trigonometric periodicity · Related · Map context
- Complex numbers · Related · Map context
- Holomorphic functions · Related · Map context
Appears in these maps
Trigonometry
Explore angles and the unit circle; identities and equations; triangles and oscillations. Concepts and connections are available independently of video coverage.