Features
- •Addition, subtraction, multiplication, division of complex numbers
- •Calculate modulus, argument, and conjugate
- •Convert between rectangular and polar forms
- •Tabs for operations, properties, and conversion
- •Real-time result display
- •Input validation and error handling
First Complex Number
Second Complex Number
About Complex Numbers
A complex number is a number that can be expressed in the form a + bi, where a and b are real numbers, and i is the imaginary unit, satisfying i² = -1.
Key Concepts
- Rectangular form: a + bi (where a is the real part and b is the imaginary part)
- Polar form: r∠θ (where r is the modulus and θ is the argument)
- Modulus: |a + bi| = √(a² + b²)
- Argument: θ = tan⁻¹(b/a)
- Conjugate: (a + bi)* = a - bi
Complex numbers are essential in many fields including electrical engineering, quantum physics, signal processing, and control theory.