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Gerolamo Cardano is an Italian mathematician who introduced complex numbers. Complex numbers are those that can be expressed in the form of a+bi where a and b represent real numbers.

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Who invented complex numbers and when did he invented?

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Why Euler is known AS the father of complex numbers since cardano introduced the complex numbers?

Euler is often referred to as the father of complex numbers not because he introduced them, but because he significantly advanced their understanding and application. While Gerolamo Cardano was one of the first to work with complex numbers in the 16th century, it was Euler who formalized their use and notation, particularly with his famous equation ( e^{ix} = \cos(x) + i\sin(x) ). This relationship, known as Euler's formula, beautifully connects complex numbers to trigonometry and exponential functions, laying the groundwork for much of modern mathematics. Euler's contributions helped to elevate complex numbers from mere curiosities to essential tools in various fields, including engineering and physics.