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- Get a better understanding of math. Even if you do calculations with real numbers, working with complex numbers often gives a greater understanding.
- Electricity, with AC, uses complex quantitites.
- Quantum physics
- Art - ever seen the Mandelbrot set, or other fractals?
There are numerous applications; you should read the Wikipedia article on complex numbers for more examples. Some applications include:
- Get a better understanding of math. Even if you do calculations with real numbers, working with complex numbers often gives a greater understanding.
- Electricity, with AC, uses complex quantitites.
- Quantum physics
- Art - ever seen the Mandelbrot set, or other fractals?
There are numerous applications; you should read the Wikipedia article on complex numbers for more examples. Some applications include:
- Get a better understanding of math. Even if you do calculations with real numbers, working with complex numbers often gives a greater understanding.
- Electricity, with AC, uses complex quantitites.
- Quantum physics
- Art - ever seen the Mandelbrot set, or other fractals?
There are numerous applications; you should read the Wikipedia article on complex numbers for more examples. Some applications include:
- Get a better understanding of math. Even if you do calculations with real numbers, working with complex numbers often gives a greater understanding.
- Electricity, with AC, uses complex quantitites.
- Quantum physics
- Art - ever seen the Mandelbrot set, or other fractals?
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JordanThere are numerous applications; you should read the Wikipedia article on complex numbers for more examples. Some applications include:
- Get a better understanding of math. Even if you do calculations with real numbers, working with complex numbers often gives a greater understanding.
- Electricity, with AC, uses complex quantitites.
- Quantum physics
- Art - ever seen the Mandelbrot set, or other fractals?
There are LOTS of applications of complex numbers. The Wikipedia article might serve as a starting point, it lists a few. But here are some:* Pure math: The use of complex numbers sometimes helps gain a better understanding of real numbers.
* Quantum mechanics is almost entirely based on complex numbers.
* Complex numbers are used in electrical circuits (specifically when AC is involved).
* Some interesting - and beautiful! - designs are based on calculations with complex numbers. For a start, take a look at the Mandelbrot set.
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What is the physical significance of complex numbers?
They are frequently used in Engineering applications.
What are imaginary numbers and how are they used in real life situations?
Imaginary numbers are a mathematical concept, first defined to handle the square root of negative numbers. At first, many mathematicians did not think very kindly of them, until Euler's formula in the 1700's, then later applications in electricity and wave analysis were recognized.Complex numbers are numbers on a plane, for which special which special operations are defined. Complex numbers have a real part, and an imaginary part.There are several practical applications; for example, electrical engineers use complex numbers for circuit calculations with AC. There are other applications, too; for example, in art (creating interesting patterns, called fractals - based on calculations with complex numbers). Quantum mechanics routinely uses complex numbers.The Wikipedia article on complex numbers gives a good overview.The Picomonster website has some cool animations which show complex and imaginary numbers 'in action', so to speak.
Why do we use complex numbers?
Complex numbers are theoretically interesting; they help us better understand the real numbers in some cases.They also have some very practical applications, including: * Electrical circuits - in AC, things like resistance, current, and voltage acquire a phase angle, thus becoming complex numbers. * Quantum mechanics - the probability amplitude is described with a complex number. As a result, complex numbers basically permeate all of quantum mechanics.
What is the relation of complex numbers to real numbers?
Complex numbers are a proper superset of real numbers. That is to say, real numbers are a proper subset of complex numbers.
Could anyone list numbers not in the set of complex numbers?
No. Complex numbers is the highest set of numbers you can go, and there are no sets outside of complex numbers.
