Waves and mathematical physics
Complex number
A number with real and imaginary components, where the imaginary unit satisfies i²=−1.
Common notationz=a+bi
In one sentence
What does Complex number mean?
A number with real and imaginary components, where the imaginary unit satisfies i²=−1.
How it is written
z=a+bi
A compact example
(2+3i)+(4−i)=6+2i.
Other names and search terms
imaginary number.
Where this fits
When should you learn Complex number?
The first encounter is not the final level. Many ideas begin visually, become computational in high school and become formal in college.
- 1Pre-high schoolPrepare foundations
- 2High schoolPrepare foundations
- 3CollegeUsually introduced
- 4AdvancedGreater depth
- Mathematical physics
- Complex numbers
- Waves
- Quantum mechanics
- Functions
- Trigonometry
- Calculus
- Vectors
- Fourier analysis
- Differential equations
- Quantum models
This is direct preparation for the mathematical language of quantum mechanics.
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Questions about Complex number
What does Complex number mean in mathematics?
A number with real and imaginary components, where the imaginary unit satisfies i²=−1.
How is Complex number written?
A common notation is z=a+bi.
What is an example of Complex number?
(2+3i)+(4−i)=6+2i.